Question

the LCM of two numbers is 50 if the product of the two numbers is 250 then the HCF is please answer with step by step ​

Answer 1

LCM * HCF = product of two numbers

so,

50 * x = 250

x = 250/50

x = 5

the required HCF = 5

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Answer 2

Answer :

HCF of two numbers = 5

Step-by-step explanation :

$\underline{\underline{\bf HCF(Highest \ Common \ Factor):}}$

• The HCF is the greatest factor present in between given two or more numbers i.e., the greatest number which can divide the given numbers.

• HCF is also known as Greatest Common Divisor (GCD)

$\underline{\underline{\bf LCM(Least \ Common \ Multiple):}}$

• The LCM is the smallest number that is a multiple of two or more numbers.

_____________________________

Given,

• LCM of two numbers = 50
• product of two numbers = 250

To find,

• HCF of two numbers

we know,

$\boxed{\bf Product \ of \ two \ numbers =HCF \times LCM}$

     250 = HCF × 50

    HCF = 250/50

    HCF = 5

∴ HCF of two numbers = 5