Greatest Common Factor of 8158/50, 9275/560

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8158/50, 9275/560

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 8158/50,9275/560

Given fractions are 8158/50,9275/560

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 8158,9275

Greatest Common Factor of Numerators i.e. GCF of 8158,9275 is 1 .

LCM of Denominators means LCM of 50,560 as per the given fractions.

LCM of 50,560 is 2800 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8158,9275

GCF of Fractions 8158/50,9275/560 is 1/2800

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

Greatest Common Factor of 8158,9275 By Matching Biggest Common Factor Method

Greatest Common Factor of 8158,9275 By Matching Biggest Common Factor Method

Factors of 8158

List of positive integer factors of 8158 that divides 8158 without a remainder.

1,2,4079,8158

Factors of 9275

List of positive integer factors of 9275 that divides 9275 without a remainder.

1,5,7,25,35,53,175,265,371,1325,1855,9275

Greatest Common Factor

We found the factors 8158,9275 . The biggest common factor number is the GCF number.
So the greatest common factor 8158,9275 is 1.

Lets's calculate LCM of 50,560

2 50, 560
5 25, 280
5, 56

∴ So the LCM of the given numbers is 2 x 5 x 5 x 56 = 2800

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2800

Therefore, the GCF of Fractions 8158/50,9275/560 is 1/2800

Least Common Multiple of 50,560 with GCF Formula

Least Common Multiple of 50,560 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 50,560 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(50,560) = 10

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

GCF(50,560) x common factors =10 x 1 = 10

LCM(50,560) = ( 50 × 560 ) / 10

LCM(50,560) = 28000 / 10

LCM(50,560) = 2800


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 8158/50, 9275/560

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 8158/50, 9275/560?

Answer: GCF of Numerators as per given numbers 8158/50, 9275/560 is

GCF of Numerators i.e. for 8158,9275 is 1

LCM of denominators i.e. for 50,560 is 2800.

Thus, GCF of Fractions is 1/2800.Finally, GCF of Fractions for 8158/50, 9275/560 is 1/2800.