- Prime Numbers Factors and Multiples
- Home
- Even and Odd Numbers
- Divisibility Rules for 2, 5, and 10
- Divisibility Rules for 3 and 9
- Factors
- Prime Numbers
- Prime Factorization
- Greatest Common Factor of 2 Numbers
- Greatest Common Factor of 3 Numbers
- Introduction to Distributive Property
- Understanding the Distributive Property
- Introduction to Factoring With Numbers
- Factoring a Sum or Difference of Whole Numbers
- Least Common Multiple of 2 Numbers
- Least Common Multiple of 3 Numbers
- Word Problem Involving the Least Common Multiple of 2 Numbers
Greatest Common Factor of 3 Numbers Online Quiz
Following quiz provides Multiple Choice Questions (MCQs) related to Greatest Common Factor of 3 Numbers. You will have to read all the given answers and click over the correct answer. If you are not sure about the answer then you can check the answer using Show Answer button. You can use Next Quiz button to check new set of questions in the quiz.
Answer : A
Explanation
Step 1:
The prime factorization of 18 is
18 = 2 × 3 × 3
The prime factorization of 30 is
30 = 2 × 3 × 5
The prime factorization of 45 is
45 = 3 × 3 × 5
Step 2:
The greatest common factor of 18, 30 and 45 is therefore 3.
Answer : B
Explanation
Step 1:
The prime factorization of 21 is
21 = 3 × 7
The prime factorization of 36 is
36 = 2 × 2 × 3 × 3
The prime factorization of 42 is
42 = 2 × 3 × 7
Step 2:
The greatest common factor of 21, 36 and 42 is therefore 3.
Answer : D
Explanation
Step 1:
The prime factorization of 24 is
24 = 2 × 2 × 2 × 3
The prime factorization of 32 is
32 = 2 × 2 × 2 × 2 × 2
The prime factorization of 48 is
48 = 2 × 2 × 2 × 2 × 3
Step 2:
The greatest common factor of 24, 32 and 48 is therefore 8.
Answer : C
Explanation
Step 1:
The prime factorization of 26 is
26 = 2 × 13
The prime factorization of 52 is
52 = 2 × 2 × 13
The prime factorization of 78 is
78 = 2 × 3 × 13
Step 2:
The greatest common factor of 26, 52 and 78 is therefore 26.
Answer : A
Explanation
Step 1:
The prime factorization of 28 is
28 = 2 × 2 × 7
The prime factorization of 49 is
49 = 7 × 7
The prime factorization of 84 is
84 = 2 × 2 × 3 × 7
Step 2:
The greatest common factor of 28, 49 and 84 is therefore 7.
Answer : B
Explanation
Step 1:
The prime factorization of 36 is
36 = 2 × 2 × 3 × 3
The prime factorization of 48 is
48 = 2 × 2 × 2 × 2 × 3
The prime factorization of 120 is
120 = 2 × 2 × 2 × 3 × 5
Step 2:
The greatest common factor of 36, 48 and 120 is therefore 12.
Answer : D
Explanation
Step 1:
The prime factorization of 34 is
34 = 2 × 17
The prime factorization of 85 is
85 = 5 × 17
The prime factorization of 136 is
136 = 2 × 2 × 2 × 17
Step 2:
The greatest common factor of 34, 85 and 136 is therefore 17.
Answer : C
Explanation
Step 1:
The prime factorization of 36 is
36 = 2 × 2 × 3 × 3
The prime factorization of 60 is
60 = 2 × 2 × 3 × 5
The prime factorization of 144 is
144 = 2 × 2 × 2 × 2 × 3 × 3
Step 2:
The greatest common factor of 36, 60 and 144 is therefore 12.
Answer : A
Explanation
Step 1:
The prime factorization of 72 is
72 = 2 × 2 × 2 × 3 × 3
The prime factorization of 96 is
96 = 2 × 2 × 2 × 2 × 2 × 3
The prime factorization of 180 is
180 = 2 × 2 × 3 × 3 × 5
Step 2:
The greatest common factor of 72, 96 and 180 is therefore 12.
Answer : B
Explanation
Step 1:
The prime factorization of 90 is
90 = 2 × 3 × 3 × 5
The prime factorization of 150 is
150 = 2 × 3 × 5 × 5
The prime factorization of 225 is
225 = 3 × 3 × 5 × 5
Step 2:
The greatest common factor of 90, 150 and 225 is therefore 15.