Find the HCF and LCM of 6 and 20 using the pr | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(A) Step $1$: Find the prime factorization of the given numbers.$6 = 2 	imes 3$$20 = 2^2 	imes 5$Step $2$: To find the $HCF$,take the product of the

Vedclass · Accepted Answer

$HCF$ = $2$,$LCM$ = $60$

Vedclass · Answer

(A) Step $1$: Find the prime factorization of the given numbers.$6 = 2 	imes 3$$20 = 2^2 	imes 5$Step $2$: To find the $HCF$,take the product of the smallest power of each common prime factor.Common prime factor is $2$. The smallest power is $2^1$.Therefore,$HCF$ = $2$.Step $3$: To find the $LCM$,take the product of the highest power of each prime factor involved.Prime factors involved are $2, 3,$ and $5$.Highest powers are $2^2, 3^1,$ and $5^1$.$LCM$ = $2^2 	imes 3^1 	imes 5^1 = 4 	imes 3 	imes 5 = 60$.Thus,$HCF$ = $2$ and $LCM$ = $60$.

Find the $HCF$ and $LCM$ of $6$ and $20$ using the prime factorization method.

Similar Questions

If $HCF(a, b) = 12$,then which of the following cannot be the $LCM(a, b)$? Options: $(A) 90, (B) 24, (C) 48, (D) 60$.

If $HCF(a, b) = 8$,$LCM(a, b) = 64$ and $a > b$,then $a = ?$ (Options: $8, 16, 32, 64$)

If $x+4$ is a factor of the polynomial $x^{2}+7x+m$,then $m = $ . . . . . .

$\sqrt{2}$ is a . . . . . . number. (Rational,Irrational,Prime)

For two positive integers $a$ and $b$,if $\text{HCF}(a, b) = 7$ and $\text{LCM}(a, b) = 385$,then which of the following is true?

Vedclass Test Series

Exam Paper Generator

Online Exam Module