Greatest Common Factor of 25/102, 2570/6014

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 25/102, 2570/6014

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 25/102,2570/6014

Given fractions are 25/102,2570/6014

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 25,2570

Greatest Common Factor of Numerators i.e. GCF of 25,2570 is 5 .

LCM of Denominators means LCM of 102,6014 as per the given fractions.

LCM of 102,6014 is 306714 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 25,2570

GCF of Fractions 25/102,2570/6014 is 5/306714

5 25, 2570
5, 514

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

Greatest Common Factor of 25,2570 By Matching Biggest Common Factor Method

Greatest Common Factor of 25,2570 By Matching Biggest Common Factor Method

Factors of 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

Factors of 2570

List of positive integer factors of 2570 that divides 2570 without a remainder.

1,2,5,10,257,514,1285,2570

Greatest Common Factor

We found the factors 25,2570 . The biggest common factor number is the GCF number.
So the greatest common factor 25,2570 is 5.

Lets's calculate LCM of 102,6014

2 102, 6014
51, 3007

∴ So the LCM of the given numbers is 2 x 51 x 3007 = 306714

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/306714

Therefore, the GCF of Fractions 25/102,2570/6014 is 5/306714

Least Common Multiple of 102,6014 with GCF Formula

Least Common Multiple of 102,6014 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 102,6014 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(102,6014) = 2

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

GCF(102,6014) x common factors =2 x 1 = 2

LCM(102,6014) = ( 102 × 6014 ) / 2

LCM(102,6014) = 613428 / 2

LCM(102,6014) = 306714


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 25/102, 2570/6014

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 25/102, 2570/6014?

Answer: GCF of Numerators as per given numbers 25/102, 2570/6014 is

GCF of Numerators i.e. for 25,2570 is 5

LCM of denominators i.e. for 102,6014 is 306714.

Thus, GCF of Fractions is 5/306714.Finally, GCF of Fractions for 25/102, 2570/6014 is 5/306714.