Greatest Common Factor of 8992/158, 8093/728

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8992/158, 8093/728

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 8992/158,8093/728

Given fractions are 8992/158,8093/728

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 8992,8093

Greatest Common Factor of Numerators i.e. GCF of 8992,8093 is 1 .

LCM of Denominators means LCM of 158,728 as per the given fractions.

LCM of 158,728 is 57512 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8992,8093

GCF of Fractions 8992/158,8093/728 is 1/57512

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 8992,8093 By Matching Biggest Common Factor Method

Greatest Common Factor of 8992,8093 By Matching Biggest Common Factor Method

Factors of 8992

List of positive integer factors of 8992 that divides 8992 without a remainder.

1,2,4,8,16,32,281,562,1124,2248,4496,8992

Factors of 8093

List of positive integer factors of 8093 that divides 8093 without a remainder.

1,8093

Greatest Common Factor

We found the factors 8992,8093 . The biggest common factor number is the GCF number.
So the greatest common factor 8992,8093 is 1.

Lets's calculate LCM of 158,728

2 158, 728
79, 364

∴ So the LCM of the given numbers is 2 x 79 x 364 = 57512

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/57512

Therefore, the GCF of Fractions 8992/158,8093/728 is 1/57512

Least Common Multiple of 158,728 with GCF Formula

Least Common Multiple of 158,728 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 158,728 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(158,728) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(158,728) x common factors =2 x 1 = 2

LCM(158,728) = ( 158 × 728 ) / 2

LCM(158,728) = 115024 / 2

LCM(158,728) = 57512


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 8992/158, 8093/728

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 8992/158, 8093/728?

Answer: GCF of Numerators as per given numbers 8992/158, 8093/728 is

GCF of Numerators i.e. for 8992,8093 is 1

LCM of denominators i.e. for 158,728 is 57512.

Thus, GCF of Fractions is 1/57512.Finally, GCF of Fractions for 8992/158, 8093/728 is 1/57512.