Question

A milkman has two large containers containing 75 liter and 45 litres of milk, respectively .what will be the measure of largest vessel that can measure the milk of the two cans exactly

Answer 1

Step-by-step explanation:

Find hcf of 75

75=5*15=5*5=3

45=5*9=5*3*3

common factor =5,3

5*3=15

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Answer 2

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

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.

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

$75\:= 3 \:×\: 5\: ×\: 5$

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

$45\:= \:3\: × \:3 × \:5$

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

$HCF\:= \:3\: × \:5= \:15$

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

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