Question

The product of 2 numbers is 8000.If LCM of two numbers is 800 find HCF

Answer 1

Answer:

1000

Step-by-step explanation:

Let the numbers be a and b

Then

(axb)=lcm(a,b)x hcf(a,b)

8000=800 x hcf

Hcf=8000/800= 1000

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Answer 2

GiveN :

• Product of Numbers = 8000
• LCM = 800

To FinD :

• HCF

SolutioN :

Use formula for Product of Numbers :

$\boxed{\tt{Product \: of \: Numbers \: =\: LCM \: \times \: HCF}} \\ \\ \dashrightarrow \tt{8000 \: = \: 800 \: \times \: HCF} \\ \\ \dashrightarrow \tt{HCF \: = \: \dfrac{8000}{800}} \\ \\ \dashrightarrow \tt{HCF \: = \: 10} \\ \\ \underline{\sf{\therefore \: HCF \: of \: numbers \: is \: 10}}$

$\rule{150}{1}$

Additional Information

• The largest or greatest common factor to any two or more natural numbers is called HCF.

• The least common multiple of any two or more numbers is called as LCM.

• Product of Numbers = LCM * HCF