Greatest Common Factor of 4952/475, 5908/6637

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4952/475, 5908/6637

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 4952/475,5908/6637

Given fractions are 4952/475,5908/6637

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 4952,5908

Greatest Common Factor of Numerators i.e. GCF of 4952,5908 is 4 .

LCM of Denominators means LCM of 475,6637 as per the given fractions.

LCM of 475,6637 is 3152575 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4952,5908

GCF of Fractions 4952/475,5908/6637 is 4/3152575

2 4952, 5908
2 2476, 2954
1238, 1477

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 4952,5908 By Matching Biggest Common Factor Method

Greatest Common Factor of 4952,5908 By Matching Biggest Common Factor Method

Factors of 4952

List of positive integer factors of 4952 that divides 4952 without a remainder.

1,2,4,8,619,1238,2476,4952

Factors of 5908

List of positive integer factors of 5908 that divides 5908 without a remainder.

1,2,4,7,14,28,211,422,844,1477,2954,5908

Greatest Common Factor

We found the factors 4952,5908 . The biggest common factor number is the GCF number.
So the greatest common factor 4952,5908 is 4.

Lets's calculate LCM of 475,6637

Given numbers has no common factors except 1. So, there LCM is their product i.e 3152575

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/3152575

Therefore, the GCF of Fractions 4952/475,5908/6637 is 4/3152575

Least Common Multiple of 475,6637 with GCF Formula

Least Common Multiple of 475,6637 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 475,6637 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(475,6637) = 1

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

GCF(475,6637) x common factors =1 x 1 = 1

LCM(475,6637) = ( 475 × 6637 ) / 1

LCM(475,6637) = 3152575 / 1

LCM(475,6637) = 3152575


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 4952/475, 5908/6637

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 4952/475, 5908/6637?

Answer: GCF of Numerators as per given numbers 4952/475, 5908/6637 is

GCF of Numerators i.e. for 4952,5908 is 4

LCM of denominators i.e. for 475,6637 is 3152575.

Thus, GCF of Fractions is 4/3152575.Finally, GCF of Fractions for 4952/475, 5908/6637 is 4/3152575.