Question

Find the HCF and LCM of 16, 72 and 248 using the prime factorization method.​

Answer 1

Step-by-step explanation:

prime factorization

16=2x2x2x2

72=2x2x2x3x3

248=2x2x2x31

for hcf

take those terms that are present in all expansions

here it is

2x2x2 ,that is equal to 8

so HCF is 8

for lcm

take all terms with the maximum time they appears. or with highest powers

so here for 2 , 2^4

for 3 , 3^2

for 31 , 31^1

lcm is product of all these terms

LCM is (2^4)(3^2)(31)

or. 2x2x2x2x3x3x31