Question

HCF of two numbers is one fifth of the LCM if the product of two numbers is 720the HCF of two number​

Answer 1

❤SOLUTION:-

____________________________

Let LCM = x

Then HCF = 5x

As we know,

HCF×LCM = ab

x * 5x = 720

5x² = 720

x² = 720/5

x² = 144

x = 12

Hence,

HCF = 5x = 5×12 = 60

_______________________________

Hence,

$\huge{HCF=60}$

Cheers❤✌

Answer 2

Gɪᴠᴇɴ :-

• H. C. F. = 1/5 of L. C. M
• Product of two numbers

ᴛᴏ ғɪɴᴅ :-

• H. C. F. of two numbers

sᴏʟᴜᴛɪᴏɴ :-

Let LCM be x and HCF be y

then,

According to Question :-

H. C. F. = y = x/5 => 5y = x. -(1)

Now,

We know that,

H. C. F × L. C. M = Product of two numbers

➭ 5y × y = 720

➭ 5y² = 720

➭ y² = 720/5

➭ y² = 144

➭ y = √144

➭ y = 12

Hence,

• L. C. M. = x = 5y = 5×12 = 60
• H. C. F. = y = 12