Question

LCM of two number is 400 and their product is 6400. what is their HCF​

Answer 1

let "x " be the HCF.

As we know, [class 10 property]

$\small{\boxed{\texttt{\green{LCM x HCF = product of numbers}}}}$

$\small\texttt\blue{=> 400 × x = 6400 }$

$\small\mathtt\purple{=> x = \frac{6400}{400} }$

$\small\mathtt\pink{=> x = \frac{64}{4} }$

$\small\mathtt\red{=> x = 16 }$

$\small{\boxed{\therefore{\mathtt{\orange{ HCF= x = 16\:\tiny{ans}}}}}}$

Answer 2

Step-by-step explanation:

let "x " be the HCF.

As we know, [class 10 property]

\small{\boxed{\texttt{\green{LCM x HCF = product of numbers}}}}

LCM x HCF = product of numbers

\small\texttt\blue{= > 400 × x = 6400 }= > 400 × x = 6400

\small\mathtt\purple{= > x = \frac{6400}{400} }=>x=

400

6400

\small\mathtt\pink{= > x = \frac{64}{4} }=>x=

4

64

Hope it helps you ☺️

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\small\mathtt\red{= > x = 16 }=>x=16

\small{\boxed{\therefore{\mathtt{\orange{ HCF= x = 16\:\tiny{ans}}}}}}

∴HCF=x=16ans