Greatest Common Factor of 7955/29, 6880/253

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7955/29, 6880/253

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 7955/29,6880/253

Given fractions are 7955/29,6880/253

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 7955,6880

Greatest Common Factor of Numerators i.e. GCF of 7955,6880 is 215 .

LCM of Denominators means LCM of 29,253 as per the given fractions.

LCM of 29,253 is 7337 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7955,6880

GCF of Fractions 7955/29,6880/253 is 215/7337

5 7955, 6880
43 1591, 1376
37, 32

∴ So the GCF of the given numbers is 5 x 43 = 215

Greatest Common Factor of 7955,6880 By Matching Biggest Common Factor Method

Greatest Common Factor of 7955,6880 By Matching Biggest Common Factor Method

Factors of 7955

List of positive integer factors of 7955 that divides 7955 without a remainder.

1,5,37,43,185,215,1591,7955

Factors of 6880

List of positive integer factors of 6880 that divides 6880 without a remainder.

1,2,4,5,8,10,16,20,32,40,43,80,86,160,172,215,344,430,688,860,1376,1720,3440,6880

Greatest Common Factor

We found the factors 7955,6880 . The biggest common factor number is the GCF number.
So the greatest common factor 7955,6880 is 215.

Lets's calculate LCM of 29,253

Given numbers has no common factors except 1. So, there LCM is their product i.e 7337

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 215/7337

Therefore, the GCF of Fractions 7955/29,6880/253 is 215/7337

Least Common Multiple of 29,253 with GCF Formula

Least Common Multiple of 29,253 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 29,253 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,253) = 1

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

GCF(29,253) x common factors =1 x 1 = 1

LCM(29,253) = ( 29 × 253 ) / 1

LCM(29,253) = 7337 / 1

LCM(29,253) = 7337


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 7955/29, 6880/253

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 7955/29, 6880/253?

Answer: GCF of Numerators as per given numbers 7955/29, 6880/253 is

GCF of Numerators i.e. for 7955,6880 is 215

LCM of denominators i.e. for 29,253 is 7337.

Thus, GCF of Fractions is 215/7337.Finally, GCF of Fractions for 7955/29, 6880/253 is 215/7337.