Greatest Common Factor of 2570/455, 7867/7125

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2570/455, 7867/7125

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 2570/455,7867/7125

Given fractions are 2570/455,7867/7125

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 2570,7867

Greatest Common Factor of Numerators i.e. GCF of 2570,7867 is 1 .

LCM of Denominators means LCM of 455,7125 as per the given fractions.

LCM of 455,7125 is 648375 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2570,7867

GCF of Fractions 2570/455,7867/7125 is 1/648375

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 2570,7867 By Matching Biggest Common Factor Method

Greatest Common Factor of 2570,7867 By Matching Biggest Common Factor Method

Factors of 2570

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

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

Factors of 7867

List of positive integer factors of 7867 that divides 7867 without a remainder.

1,7867

Greatest Common Factor

We found the factors 2570,7867 . The biggest common factor number is the GCF number.
So the greatest common factor 2570,7867 is 1.

Lets's calculate LCM of 455,7125

5 455, 7125
91, 1425

∴ So the LCM of the given numbers is 5 x 91 x 1425 = 648375

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/648375

Therefore, the GCF of Fractions 2570/455,7867/7125 is 1/648375

Least Common Multiple of 455,7125 with GCF Formula

Least Common Multiple of 455,7125 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 455,7125 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(455,7125) = 5

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

GCF(455,7125) x common factors =5 x 1 = 5

LCM(455,7125) = ( 455 × 7125 ) / 5

LCM(455,7125) = 3241875 / 5

LCM(455,7125) = 648375


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 2570/455, 7867/7125

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 2570/455, 7867/7125?

Answer: GCF of Numerators as per given numbers 2570/455, 7867/7125 is

GCF of Numerators i.e. for 2570,7867 is 1

LCM of denominators i.e. for 455,7125 is 648375.

Thus, GCF of Fractions is 1/648375.Finally, GCF of Fractions for 2570/455, 7867/7125 is 1/648375.