Find the HCF of the following number using prime Factorizaton
Answers
Answer:
you not posted the numbers
Step-by-step explanation:
a) HCF(28,76)=4HCF(28,76)=4
b) HCF(16,24,36)=4HCF(16,24,36)=4
c) HCF(38, 64, 82)=2HCF(38,64,82)=2
Step-by-step explanation:
To find : The HCF of the following numbers by prime factorization method ?
Solution :
HCF is the highest common factor.
a) 76, 28
76=2\times 2\times 1976=2×2×19
28=2\times 2\times 728=2×2×7
HCF(28,76)=2\times 2HCF(28,76)=2×2
HCF(28,76)=4HCF(28,76)=4
b) 24,16,36
16=2\times 2\times 2\times 216=2×2×2×2
24=2\times 2\times 2\times 324=2×2×2×3
36=2\times 2\times 3\times 336=2×2×3×3
HCF(16,24,36)=2\times 2HCF(16,24,36)=2×2
HCF(16,24,36)=4HCF(16,24,36)=4
c) 38, 64, 82
38=2\times 1938=2×19
64=2\times 2\times 2\times 2\times 2\times 264=2×2×2×2×2×2
82=2\times 4182=2×41
HCF(38, 64, 82)=2HCF(38,64,82)=2
HCF(38, 64, 82)=2HCF(38,64,82)=2