Greatest Common Factor of 875/57, 7900/440

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 875/57, 7900/440

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 875/57,7900/440

Given fractions are 875/57,7900/440

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 875,7900

Greatest Common Factor of Numerators i.e. GCF of 875,7900 is 25 .

LCM of Denominators means LCM of 57,440 as per the given fractions.

LCM of 57,440 is 25080 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 875,7900

GCF of Fractions 875/57,7900/440 is 25/25080

5 875, 7900
5 175, 1580
35, 316

∴ So the GCF of the given numbers is 5 x 5 = 25

Greatest Common Factor of 875,7900 By Matching Biggest Common Factor Method

Greatest Common Factor of 875,7900 By Matching Biggest Common Factor Method

Factors of 875

List of positive integer factors of 875 that divides 875 without a remainder.

1,5,7,25,35,125,175,875

Factors of 7900

List of positive integer factors of 7900 that divides 7900 without a remainder.

1,2,4,5,10,20,25,50,79,100,158,316,395,790,1580,1975,3950,7900

Greatest Common Factor

We found the factors 875,7900 . The biggest common factor number is the GCF number.
So the greatest common factor 875,7900 is 25.

Lets's calculate LCM of 57,440

Given numbers has no common factors except 1. So, there LCM is their product i.e 25080

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 25/25080

Therefore, the GCF of Fractions 875/57,7900/440 is 25/25080

Least Common Multiple of 57,440 with GCF Formula

Least Common Multiple of 57,440 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 57,440 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,440) = 1

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

GCF(57,440) x common factors =1 x 1 = 1

LCM(57,440) = ( 57 × 440 ) / 1

LCM(57,440) = 25080 / 1

LCM(57,440) = 25080


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 875/57, 7900/440

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 875/57, 7900/440?

Answer: GCF of Numerators as per given numbers 875/57, 7900/440 is

GCF of Numerators i.e. for 875,7900 is 25

LCM of denominators i.e. for 57,440 is 25080.

Thus, GCF of Fractions is 25/25080.Finally, GCF of Fractions for 875/57, 7900/440 is 25/25080.