Find the greatest number that will divide 390 | vedclass

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Question

(B) To find the greatest number that divides $390, 495,$ and $300$ without leaving a remainder,we need to calculate the Highest Common Factor $(HCF)$

Vedclass · Accepted Answer

$15$

Vedclass · Answer

(B) To find the greatest number that divides $390, 495,$ and $300$ without leaving a remainder,we need to calculate the Highest Common Factor $(HCF)$ of these numbers.Step $1$: Prime factorization of the numbers:$390 = 2 	imes 3 	imes 5 	imes 13$$495 = 3^2 	imes 5 	imes 11$$300 = 2^2 	imes 3 	imes 5^2$Step $2$: Identify the common prime factors with the lowest exponent:The common prime factors are $3$ and $5$.The lowest power of $3$ is $3^1 = 3$.The lowest power of $5$ is $5^1 = 5$.Step $3$: Calculate the $HCF$:$HCF = 3 	imes 5 = 15$.Therefore,the greatest number that divides all three numbers is $15$.

Find the greatest number that will divide $390, 495,$ and $300$ without leaving a remainder.

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