Question

What is the greatest number that divides 30, 53, 99 to leave the same remainder

Answer 1

$Find \:out \:the \:HCF \: of \: the \: given \\three \: numbers \: obtained \:from \:the \\mutual \:subtraction .$

$On \:mutual \:subtraction ,\:we \:get$

• (53 - 30 ) = 23
• ( 99 - 53 ) = 46
• ( 99 - 30 ) = 69

$HCF \: of \: 23 , 46 \:and \: 69 = 23$

Therefore.,

$\red { Required \: number } \green {= 23 }$

••♪