Question

milkman has two cans of milk containing 75 litres and 45 litres respectively.what will be the measure oflargest vessel that can measure the milk of the two vans exactly?​

Answer 1

$\huge\rm\underline\purple{Question :-}$

A milkman has two cans of milk containing 75 litres and 45 litres of milk respectively.

What will be the measure of largest vessel that can measure the milk of the two cans exactly?

$\huge\rm\underline\orange{Answer :-}$

$\sf Given\begin{cases} &\sf{Quantity\;of\;milk\; in \;the\;first \;can\;=\be{75\:litres}}\\&\sf{Quantity\;of\;milk\;in\;the\;second \;can =\bf{45\;litres}}\end{cases}$

$\red{\underline\bold{To\:find,: }}$

✏ The measure of largest vessel that can measure the milk of the two cans exactly = ?

✏ For this, we have to find the HCF of 75 and 45.

$\green{\underline\bold{For\:75: }}$

$75\:= 3 \:×\: 5\: ×\: 5$

$\green{\underline\bold{For\:45: }}$

$45\:= \:3\: × \:3 × \:5$

$\blue{\underline\bold{HCF\:of\:75\:and\:45: }}$

$HCF\:= \:3\: × \:5= \:15$

✏ ∴ The measure of largest vessel that can measure the milk of the two cans exactly is 15 litres.

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