Vidaara.orgClass 6 · Mathematics
CodeVID-M06-03-GCF-01
Greatest Common Factor - Assignment
Name: ____________________
Roll No.: __________
Date: ____________
General Instructions
- All questions are compulsory.
- Section A carries 1 mark each, Section B 2 marks, Section C 3 marks and Section D 5 marks.
- Show all working for Sections B, C and D. Only final answers are given at the end — for full solutions, raise your doubts with your teacher.
Section A — Multiple Choice Questions
5 × 1 = 5 marks
1.
The GCF is the ___ factor common to two numbers.
- A.smallest
- B.largest
- C.first
- D.prime
2.
The GCF of $12$ and $18$ is:
- A.$2$
- B.$3$
- C.$6$
- D.$36$
3.
The GCF of two different primes is:
- A.their product
- B.$1$
- C.the larger
- D.$0$
4.
To find the GCF, use the ___ prime factors.
- A.highest
- B.common
- C.largest
- D.odd
5.
The GCF of $8$ and $12$ is:
- A.$2$
- B.$4$
- C.$8$
- D.$24$
Section B — Short Answer (2 marks)
4 × 2 = 8 marks
6.
Find the GCF of $6$ and $9$.
7.
Find the GCF of $10$ and $15$.
8.
Find the GCF of $8$ and $12$.
9.
Find the GCF of $7$ and $13$.
Section C — Short Answer (3 marks)
4 × 3 = 12 marks
10.
Find the GCF of $24$ and $36$.
11.
Find the GCF of $18$ and $30$.
12.
Find the GCF of $16$ and $24$.
13.
Find the GCF of $20$ and $35$.
Section D — Long Answer (5 marks)
2 × 5 = 10 marks
14.
Find the GCF of $48$ and $60$ using prime factorization.
15.
Two ribbons of length $36$ cm and $48$ cm are cut into equal pieces of the greatest possible length. Find that length and the number of pieces.
Answer Key
Section A — Multiple Choice Questions
- (B) largest
- (C) $6$
- (B) $1$
- (B) common
- (B) $4$
Section B — Short Answer (2 marks)
- $3$.
- $5$.
- $4$.
- $1$.
Section C — Short Answer (3 marks)
- $12$.
- $6$.
- $8$.
- $5$.
Section D — Long Answer (5 marks)
- $12$.
- $12$ cm; $7$ pieces.
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