Find the HCF of the following pairs of number | vedclass

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Question

(A) To find the Highest Common Factor $(HCF)$ of $30$ and $72$:Prime factorization of $30 = 2 	imes 3 	imes 5$.Prime factorization of $72 = 2^3 	im

Vedclass · Accepted Answer

$6, 1$

Vedclass · Answer

(A) To find the Highest Common Factor $(HCF)$ of $30$ and $72$:Prime factorization of $30 = 2 	imes 3 	imes 5$.Prime factorization of $72 = 2^3 	imes 3^2$.The common factors are $2^1$ and $3^1$.$HCF(30, 72) = 2 	imes 3 = 6$.To find the $HCF$ of $19$ and $23$:Since both $19$ and $23$ are prime numbers,their only common factor is $1$.$HCF(19, 23) = 1$.Thus,the $HCF$ values are $6$ and $1$ respectively. The correct option is $A$.

$Q.1.$ $HCF$ of $8$ and $6$	$A. 49$
$Q.2.$ $LCM$ of $(26, 91)$	$B. 182$
	$C. 2$

Find the $HCF$ of the following pairs of numbers:
$Q.1.$ $30$ and $72$
$Q.2.$ $19$ and $23$

Options:
$A. 6, 1$
$B. 1, 6$
$C. 5, 1$
$D. 1, 5$

Similar Questions

The Least Common Multiple $(LCM)$ of the smallest prime number and the smallest composite number is . . . . . . .

If $HCF(a, b) = 16$,then which of the following cannot be the $LCM(a, b)$?

The $\text{g.c.d.}$ (greatest common divisor) of two numbers is $16$ and their product is $3072$. Find their $\text{l.c.m.}$ (least common multiple).

The $HCF$ of the smallest prime number and the smallest composite number is . . . . . . .

Match the following items:
$Q.1.$ $HCF$ of $8$ and $6$ $A. 49$
$Q.2.$ $LCM$ of $(26, 91)$ $B. 182$
$C. 2$

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Find the $HCF$ of the following pairs of numbers:$Q.1.$ $30$ and $72$$Q.2.$ $19$ and $23$Options:$A. 6, 1$$B. 1, 6$$C. 5, 1$$D. 1, 5$