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

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

Answer»

GiveN :

Product of Numbers = 8000
LCM = 800

To FIND :

SOLUTION :

USE formula for Product of Numbers :

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