Greatest Common Factor of 8115/22, 8700/319

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8115/22, 8700/319

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 8115/22,8700/319

Given fractions are 8115/22,8700/319

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 8115,8700

Greatest Common Factor of Numerators i.e. GCF of 8115,8700 is 15 .

LCM of Denominators means LCM of 22,319 as per the given fractions.

LCM of 22,319 is 638 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8115,8700

GCF of Fractions 8115/22,8700/319 is 15/638

3 8115, 8700
5 2705, 2900
541, 580

∴ So the GCF of the given numbers is 3 x 5 = 15

Greatest Common Factor of 8115,8700 By Matching Biggest Common Factor Method

Greatest Common Factor of 8115,8700 By Matching Biggest Common Factor Method

Factors of 8115

List of positive integer factors of 8115 that divides 8115 without a remainder.

1,3,5,15,541,1623,2705,8115

Factors of 8700

List of positive integer factors of 8700 that divides 8700 without a remainder.

1,2,3,4,5,6,10,12,15,20,25,29,30,50,58,60,75,87,100,116,145,150,174,290,300,348,435,580,725,870,1450,1740,2175,2900,4350,8700

Greatest Common Factor

We found the factors 8115,8700 . The biggest common factor number is the GCF number.
So the greatest common factor 8115,8700 is 15.

Lets's calculate LCM of 22,319

11 22, 319
2, 29

∴ So the LCM of the given numbers is 11 x 2 x 29 = 638

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/638

Therefore, the GCF of Fractions 8115/22,8700/319 is 15/638

Least Common Multiple of 22,319 with GCF Formula

Least Common Multiple of 22,319 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 22,319 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,319) = 11

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

GCF(22,319) x common factors =11 x 1 = 11

LCM(22,319) = ( 22 × 319 ) / 11

LCM(22,319) = 7018 / 11

LCM(22,319) = 638


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 8115/22, 8700/319

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 8115/22, 8700/319?

Answer: GCF of Numerators as per given numbers 8115/22, 8700/319 is

GCF of Numerators i.e. for 8115,8700 is 15

LCM of denominators i.e. for 22,319 is 638.

Thus, GCF of Fractions is 15/638.Finally, GCF of Fractions for 8115/22, 8700/319 is 15/638.