Greatest Common Factor of 2155/725, 5135/715

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2155/725, 5135/715

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 2155/725,5135/715

Given fractions are 2155/725,5135/715

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 2155,5135

Greatest Common Factor of Numerators i.e. GCF of 2155,5135 is 5 .

LCM of Denominators means LCM of 725,715 as per the given fractions.

LCM of 725,715 is 103675 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2155,5135

GCF of Fractions 2155/725,5135/715 is 5/103675

5 2155, 5135
431, 1027

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

Greatest Common Factor of 2155,5135 By Matching Biggest Common Factor Method

Greatest Common Factor of 2155,5135 By Matching Biggest Common Factor Method

Factors of 2155

List of positive integer factors of 2155 that divides 2155 without a remainder.

1,5,431,2155

Factors of 5135

List of positive integer factors of 5135 that divides 5135 without a remainder.

1,5,13,65,79,395,1027,5135

Greatest Common Factor

We found the factors 2155,5135 . The biggest common factor number is the GCF number.
So the greatest common factor 2155,5135 is 5.

Lets's calculate LCM of 725,715

5 725, 715
145, 143

∴ So the LCM of the given numbers is 5 x 145 x 143 = 103675

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/103675

Therefore, the GCF of Fractions 2155/725,5135/715 is 5/103675

Least Common Multiple of 725,715 with GCF Formula

Least Common Multiple of 725,715 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 725,715 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(725,715) = 5

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

GCF(725,715) x common factors =5 x 1 = 5

LCM(725,715) = ( 725 × 715 ) / 5

LCM(725,715) = 518375 / 5

LCM(725,715) = 103675


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 2155/725, 5135/715

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 2155/725, 5135/715?

Answer: GCF of Numerators as per given numbers 2155/725, 5135/715 is

GCF of Numerators i.e. for 2155,5135 is 5

LCM of denominators i.e. for 725,715 is 103675.

Thus, GCF of Fractions is 5/103675.Finally, GCF of Fractions for 2155/725, 5135/715 is 5/103675.