Question

Find HCF and LCM of 16 and 36 by prime factorization and check your answer.​

Answer 1

Answer:

Answer:

HCF and LCM are 4 and 144 respectively.

Step-by-step explanation:

Given two numbers 16 and 36

we have to find the LCM and HCF by prime factorization.

Prime factors of 16 and 36 are

16=2\times 2\times 2\times 216=2×2×2×2

36=2\times 2\times 3\times 336=2×2×3×3

\text{The common prime factors are }2\times 2The common prime factors are 2×2

Hence, HCF(16,36)=2\times 2=4HCF(16,36)=2×2=4

LCM(16,36)=\frac{a\times b}{HCF(16,36)}=\frac{16\times 36}{4}=144LCM(16,36)=HCF(16,36)a×b=416×36=144

HCF and LCM are 4 and 144 respectively.

Answer 2

Answer:

LCM=144, HCF= 4

Step-by-step explanation:

16=2*2*2*2*1

36=2*2*3*3*1

LCM(16,36)= 2*2*2*2*3*3=144

HCF(16,36) =2*2 = 4. ANS