Chapter 11 · Class 7 CBSE · Free Worksheet PDF
HCF LCM Sums for Class 7 — Free CBSE Worksheet PDF with Answers
Download a free printable hcf & lcm worksheet for Class 7 CBSE with 30 practice questions covering HCF, LCM, prime factorisation, factors, multiples, and word problems using HCF and LCM. Includes complete answer key. CBSE-aligned for the 2025-26 syllabus.
Last updated: 5 May 2026
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30 questions (Easy + Medium + Hard) with answer key. Fresh set generated daily.
Sample HCF & LCM Sums for Class 7 — Practice Questions
Here are 8 sample hcf & lcm sums from this Class 7 CBSE worksheet. Download the full PDF for all 30 questions with answers.
Q1.Which of the following statements about factors and multiples is TRUE?
A.A) Every number has an infinite number of factors.
B.B) Every multiple of a number is greater than or equal to the number itself.
C.C) The only common factor of two prime numbers is their product.
D.D) The smallest multiple of every number is 1.
Difficulty: Easy
Q2.Rohan tried to find the prime factorization of 72. His steps are: 72 = 2 × 36, 36 = 3 × 12, 12 = 2 × 6, 6 = 2 × 3. He concluded 72 = 2 × 3 × 2 × 2 × 3. What is the error in Rohan's prime factorization process?
A.A) He did not find any error; the factorization is correct.
B.B) The number 36 is not a prime factor.
C.C) He listed 3 twice as a prime factor.
D.D) He did not consistently break down composite factors into only prime factors at each stage.
Difficulty: Easy
Q3.Which of the following statements correctly defines the Highest Common Factor (HCF) of two or more numbers?
A.A) The HCF is the largest number that divides each of the given numbers exactly.
B.B) The HCF is the smallest number that is a multiple of all the given numbers.
C.C) The HCF is the product of all prime factors common to the numbers.
D.D) The HCF is the largest prime number that divides at least one of the given numbers.
Difficulty: Easy
Q4.Which of the following statements correctly defines the Least Common Multiple (LCM) of two or more numbers?
A.A) The LCM is the largest number that divides each of the given numbers exactly.
B.B) The LCM is the smallest number that is a multiple of all the given numbers.
C.C) The LCM is the product of the highest powers of all prime factors involved in the numbers.
D.D) The LCM is the smallest prime number that divides all the given numbers.
Difficulty: Easy
Q5.What is the HCF of 48 and 72 using the prime factorization method?
A.A) 12
B.B) 24
C.C) 36
D.D) 144
Difficulty: Easy
Q6.What is the LCM of 12, 18, and 24 using the prime factorization method?
A.A) 36
B.B) 48
C.C) 72
D.D) 144
Difficulty: Easy
Q7.If two numbers are co-prime, what is their HCF?
A.A) The product of the numbers
B.B) The larger of the two numbers
C.C) 1
D.D) 0
Difficulty: Easy
Q8.The HCF of two numbers is 6. One of the numbers is 30. Which of the following CANNOT be the other number?
A.A) 18
B.B) 42
C.C) 54
D.D) 40
Difficulty: Easy
Answer Key — Sample Questions+
Q1:B) Every multiple of a number is greater than or equal to the number itself.
Q2:D) He did not consistently break down composite factors into only prime factors at each stage.
Q3:A) The HCF is the largest number that divides each of the given numbers exactly.
Q4:B) The LCM is the smallest number that is a multiple of all the given numbers.
Q5:B) 24
Q6:C) 72
Q7:C) 1
Q8:D) 40
Download the full PDF for all 30 answers with step-by-step solutions.
About This Worksheet
| Topic | HCF & LCM |
|---|---|
| Board | CBSE |
| Class | 7 |
| Total Questions | 30 (10 Easy + 10 Medium + 10 Hard) |
| Answer Key | Included |
| Price | Free |
Related Worksheets — Class 7 CBSE
Frequently Asked Questions
Where can I download free hcf & lcm sums for Class 7?+
You can download a free HCF & LCM PDF worksheet for Class 7 CBSE right here on SparkEd. The worksheet includes 30 practice questions (HCF, LCM, prime factorisation, factors, multiples, and word problems using HCF and LCM) at easy, medium, and hard levels with a complete answer key.
How many hcf & lcm questions are in this Class 7 worksheet?+
This SparkEd worksheet for HCF & LCM Class 7 contains 30 questions — 10 easy, 10 medium, and 10 hard. The questions cover HCF, LCM, prime factorisation, factors, multiples, and word problems using HCF and LCM. A fresh set is generated daily so students never repeat the same sheet.
Does the HCF & LCM worksheet for Class 7 include answers?+
Yes! Every SparkEd worksheet comes with a complete answer key. Students can self-check their work after completing the sheet. The PDF is free to download and print.
Is this hcf & lcm worksheet aligned to CBSE syllabus?+
Yes. This worksheet is specifically designed for Class 7 CBSE students and aligned to the 2025-26 CBSE syllabus. All questions follow the CBSE exam pattern and difficulty level.
Can I print this HCF & LCM worksheet?+
Absolutely! The worksheet downloads as an A4-size PDF that is ready to print. It includes the questions, space for working, and a separate answer key — perfect for classroom use or home practice.
How is this worksheet different from NCERT textbook exercises?+
SparkEd worksheets go beyond NCERT exercises by providing 30 questions at 3 progressive difficulty levels. Level 1 (Easy) builds confidence, Level 2 (Medium) tests application, and Level 3 (Hard) prepares for exams. Each worksheet includes word problems and conceptual questions, not just computation.
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