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CBSE Class 5  >  Class 5 Test  >  Mathematics  >  Test: HCF & LCM- 1 - Class 5 MCQ

HCF & LCM- 1 - Free MCQ Practice Test with solutions, Class 5 Mathematics


MCQ Practice Test & Solutions: Test: HCF & LCM- 1 (10 Questions)

You can prepare effectively for Class 5 Mathematics for Class 5 with this dedicated MCQ Practice Test (available with solutions) on the important topic of "Test: HCF & LCM- 1". These 10 questions have been designed by the experts with the latest curriculum of Class 5 2026, to help you master the concept.

Test Highlights:

  • - Format: Multiple Choice Questions (MCQ)
  • - Duration: 15 minutes
  • - Number of Questions: 10

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Test: HCF & LCM- 1 - Question 1
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Which of the following is the greatest factor of 50?

Detailed Solution: Question 1

A number’s greatest factor is always the number itself.
So, the greatest factor of 50 is 50.

Test: HCF & LCM- 1 - Question 2
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The LCM of two number is 84. Which one of the following can’t be their HCF.

Detailed Solution: Question 2

  • LCM is divisible by HCF.
  • Hence, 8 cannot be the HCF  because 84 is not divisible by 8.
  • Hence , 8 is the correct option.

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Test: HCF & LCM- 1 - Question 3
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The HCF of 28 and 35 is:

  • 5
  • 7
  • 14
  • 21

Detailed Solution: Question 3

Factors of 28 → 1, 2, 4, 7, 14, 28

Factors of 35 → 1, 5, 7, 35

Common factors → 1, 7

Highest common factor = 7.

Test: HCF & LCM- 1 - Question 4
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How many prime numbers are there between 1 and 100.

Detailed Solution: Question 4

  • The Prime numbers between the numbers 1 to 100 are 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97.
  • Here, we can see that the total count of prime numbers is 25.

Test: HCF & LCM- 1 - Question 5
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HCF of co-prime no. is always

Detailed Solution: Question 5

  • The HCF of two coprime numbers is always 1.
  • For example, 5 and 9 are coprime numbers, there, HCF (5, 9) = 1.

Test: HCF & LCM- 1 - Question 6
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The LCM of two co- prime number is 176. If one number is 16, find the other number.

Detailed Solution: Question 6

  • The product of 2 co-prime numbers is equal to their LCM.
  • Hence, if one number is 16 other one is 

Test: HCF & LCM- 1 - Question 7
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The HCF of two numbers is 6 and their LCM is 144. If one of the numbers is 36, the other is

Detailed Solution: Question 7

  • Let the other number be x
  • Product of two numbers = HCF × LCM 
  •  x × 36 = 6 × 144
  •  
  •  Hence, the other number is x = 24

Test: HCF & LCM- 1 - Question 8
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The HCF of 16, 24, and 36 is:

Detailed Solution: Question 8

Factors of 16 → 1, 2, 4, 8, 16

Factors of 24 → 1, 2, 3, 4, 6, 8, 12, 24

Factors of 36 → 1, 2, 3, 4, 6, 9, 12, 18, 36

Common factors → 1, 2, 4.

The highest is 4.

Test: HCF & LCM- 1 - Question 9
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The product of two numbers is 180. Their HCF is 6. What is their LCM?

Detailed Solution: Question 9

Formula: HCF × LCM = Product of numbers.
So, 6 × LCM = 180 
LCM = 180 ÷ 6 = 30.

Test: HCF & LCM- 1 - Question 10
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Which of these are co-prime
(a) 16,18
(b) 11,48
(c) 8,23

Detailed Solution: Question 10

  • In number theory, Co-prime numbers are those numbers if the only positive factor that divides them is 1.
    Here,
  • Option A: (16,18) Factors that divide both of them are 1,2.
  • Option B: (11,48) Factor that divides both of them is 1.
  • Option C: (8,23) Factor that divides both of them is 1.
  • In reference to above definition both b and c are co-prime numbers.

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About this Class 5 Practice Test

This test contains 10 MCQs on HCF & LCM- 1 with detailed solutions for each question. It is part of the Mathematics for Class 5 course on EduRev, designed to align with the current Class 5 syllabus. Each solution explains not just the correct answer but also gives you an understanding of the topic — not just to attempt the question but also help you prepare for the exam with practice.

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