Question

The HCF and LCM of the numbers $780$ and $210$ are respective

• A. $30,5460$
• B. $60,2730$
• C. $90,10920$
• D. $Noneofthese$

Answer 1

The correct option is A $30,5460$

First find the prime factorization of given numbers.

$780=2\times 5\times 2\times 3\times 13$

$210=2\times 5\times 3\times 7$

HCF $=$ product of common factors

HCF of two no: $2\times 5\times 3=30$

LCM$=$ product of common and uncommon factors

LCM of two no : $2\times 5\times 3\times 2\times 13\times 7$

$\Rightarrow 780\times 7=5460$

$\therefore$ HCF & LCM are : $30,5460$

Option (A) is correct.