3. Let's write the sets of all possible factors and the sets of common factors of these pairs of numbers, then find their H.C.F. a) 9, 12 b) 15, 18 c) 12, 16 d) 18, 24 e) 36, 48
Share
3. Let's write the sets of all possible factors and the sets of common factors of these pairs of numbers, then find their H.C.F. a) 9, 12 b) 15, 18 c) 12, 16 d) 18, 24 e) 36, 48
Sign Up to our social questions and Answers Engine to ask questions, answer people’s questions, and connect with other people.
Login to our social questions & Answers Engine to ask questions answer people’s questions & connect with other people.
Step-by-step explanation:
To find the Highest Common Factor (HCF) of these pairs of numbers, we'll first list the sets of all possible factors and the sets of common factors for each pair:
a) Factors of 9: {1, 3, 9}
Factors of 12: {1, 2, 3, 4, 6, 12}
Common Factors: {1, 3}
HCF of 9 and 12: 3
b) Factors of 15: {1, 3, 5, 15}
Factors of 18: {1, 2, 3, 6, 9, 18}
Common Factors: {1, 3}
HCF of 15 and 18: 3
c) Factors of 12: {1, 2, 3, 4, 6, 12}
Factors of 16: {1, 2, 4, 8, 16}
Common Factors: {1, 2, 4}
HCF of 12 and 16: 4
d) Factors of 18: {1, 2, 3, 6, 9, 18}
Factors of 24: {1, 2, 3, 4, 6, 8, 12, 24}
Common Factors: {1, 2, 3, 6}
HCF of 18 and 24: 6
e) Factors of 36: {1, 2, 3, 4, 6, 9, 12, 18, 36}
Factors of 48: {1, 2, 3, 4, 6, 8, 12, 16, 24, 48}
Common Factors: {1, 2, 3, 4, 6, 12}
HCF of 36 and 48: 12
So, the Highest Common Factor (HCF) for each pair of numbers is as follows:
a) HCF of 9 and 12: 3
b) HCF of 15 and 18: 3
c) HCF of 12 and 16: 4
d) HCF of 18 and 24: 6
e) HCF of 36 and 48: 12