Chapter 11 · Class 7 CBSE · Worksheet

HCF & LCM Worksheet — Class 7 CBSE Maths

Download a free printable worksheet with 30 questions at 3 difficulty levels. Includes full answer key.

Download Full PDF Worksheet

30 questions (Easy + Medium + Hard) with answer key. Fresh set generated daily.

Download Full PDF

Sample Questions — HCF & LCM

Here are 8 sample questions from this worksheet. Download the full PDF for all 30 questions.

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

TopicHCF & LCM
BoardCBSE
Class7
Total Questions30 (10 Easy + 10 Medium + 10 Hard)
Answer KeyIncluded
PriceFree

Related Worksheets — Class 7 CBSE

Large Numbers Around Us

Class 7 CBSE Worksheet

Arithmetic Expressions

Class 7 CBSE Worksheet

Decimals

Class 7 CBSE Worksheet

Algebraic Expressions

Class 7 CBSE Worksheet

Parallel & Intersecting Lines

Class 7 CBSE Worksheet

Number Patterns & Puzzles

Class 7 CBSE Worksheet

Frequently Asked Questions

Where can I download a free HCF & LCM worksheet for Class 7?+
You can download a free HCF & LCM PDF worksheet for Class 7 CBSE right here on SparkEd. The worksheet includes 30 questions at easy, medium, and hard levels with a complete answer key.
How many questions are in the HCF & LCM worksheet?+
Each SparkEd worksheet for HCF & LCM contains 30 questions — 10 easy, 10 medium, and 10 hard. A fresh set is generated daily so you never repeat the same sheet.
Does the HCF & LCM worksheet include answers?+
Yes. Every SparkEd worksheet comes with a separate answer key so students can self-check their work after completing the sheet.

Practice HCF & LCM Online — Free

Want more than a worksheet? Solve questions interactively with instant feedback, step-by-step solutions, and an AI coach. No signup required.

Start Practising Online

SparkEd Maths provides free printable maths worksheets for Class 1-10 across CBSE, ICSE, IB, Olympiad, UP Board, Maharashtra SSC, and TN Board. Every worksheet includes an answer key and is aligned to the 2025-26 syllabus.