Question

Fill out the HCF of the following pairs.
HCF (27,36)=

HCF (14,32)=

HCF (30,45)=

Answer 1

Step-by-step explanation:

1. We found the factors and prime factorization of 27 and 36. The biggest common factor number is the GCF number. So the greatest common factor 27 and 36 is 9
2. We found the factors and prime factorization of 14 and 32. The biggest common factor number is the GCF number. So the greatest common factor 14 and 32 is 2
3. List of positive integer factors of 45 that divides 45 without a remainder. We found the factors and prime factorization of 30 and 45. The biggest common factor number is the GCF number. So the greatest common factor 30 and 45 is 15.

Answer 2

Answer:

1•) HCF (27,36)

27=3×3×3

36=2×2×3×3

HCF=3×3=9

2•) HCF (14,32)

14=2×7

32=2×2×2×2×2

HCF=2

3•) HCF (30,45)

30=2×3×5

45=3×3×5

HCF=3×5=15