Greatest Common Factor of 8765/500, 6350/4025

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8765/500, 6350/4025

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 8765/500,6350/4025

Given fractions are 8765/500,6350/4025

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 8765,6350

Greatest Common Factor of Numerators i.e. GCF of 8765,6350 is 5 .

LCM of Denominators means LCM of 500,4025 as per the given fractions.

LCM of 500,4025 is 80500 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8765,6350

GCF of Fractions 8765/500,6350/4025 is 5/80500

5 8765, 6350
1753, 1270

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 8765,6350 By Matching Biggest Common Factor Method

Greatest Common Factor of 8765,6350 By Matching Biggest Common Factor Method

Factors of 8765

List of positive integer factors of 8765 that divides 8765 without a remainder.

1,5,1753,8765

Factors of 6350

List of positive integer factors of 6350 that divides 6350 without a remainder.

1,2,5,10,25,50,127,254,635,1270,3175,6350

Greatest Common Factor

We found the factors 8765,6350 . The biggest common factor number is the GCF number.
So the greatest common factor 8765,6350 is 5.

Lets's calculate LCM of 500,4025

5 500, 4025
5 100, 805
20, 161

∴ So the LCM of the given numbers is 5 x 5 x 20 x 161 = 80500

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/80500

Therefore, the GCF of Fractions 8765/500,6350/4025 is 5/80500

Least Common Multiple of 500,4025 with GCF Formula

Least Common Multiple of 500,4025 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 500,4025 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(500,4025) = 25

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

GCF(500,4025) x common factors =25 x 1 = 25

LCM(500,4025) = ( 500 × 4025 ) / 25

LCM(500,4025) = 2012500 / 25

LCM(500,4025) = 80500


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 8765/500, 6350/4025

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 8765/500, 6350/4025?

Answer: GCF of Numerators as per given numbers 8765/500, 6350/4025 is

GCF of Numerators i.e. for 8765,6350 is 5

LCM of denominators i.e. for 500,4025 is 80500.

Thus, GCF of Fractions is 5/80500.Finally, GCF of Fractions for 8765/500, 6350/4025 is 5/80500.