Greatest Common Factor of 4120/507, 3524/5876

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4120/507, 3524/5876

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 4120/507,3524/5876

Given fractions are 4120/507,3524/5876

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 4120,3524

Greatest Common Factor of Numerators i.e. GCF of 4120,3524 is 4 .

LCM of Denominators means LCM of 507,5876 as per the given fractions.

LCM of 507,5876 is 229164 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4120,3524

GCF of Fractions 4120/507,3524/5876 is 4/229164

2 4120, 3524
2 2060, 1762
1030, 881

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

Greatest Common Factor of 4120,3524 By Matching Biggest Common Factor Method

Greatest Common Factor of 4120,3524 By Matching Biggest Common Factor Method

Factors of 4120

List of positive integer factors of 4120 that divides 4120 without a remainder.

1,2,4,5,8,10,20,40,103,206,412,515,824,1030,2060,4120

Factors of 3524

List of positive integer factors of 3524 that divides 3524 without a remainder.

1,2,4,881,1762,3524

Greatest Common Factor

We found the factors 4120,3524 . The biggest common factor number is the GCF number.
So the greatest common factor 4120,3524 is 4.

Lets's calculate LCM of 507,5876

13 507, 5876
39, 452

∴ So the LCM of the given numbers is 13 x 39 x 452 = 229164

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/229164

Therefore, the GCF of Fractions 4120/507,3524/5876 is 4/229164

Least Common Multiple of 507,5876 with GCF Formula

Least Common Multiple of 507,5876 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 507,5876 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(507,5876) = 13

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

GCF(507,5876) x common factors =13 x 1 = 13

LCM(507,5876) = ( 507 × 5876 ) / 13

LCM(507,5876) = 2979132 / 13

LCM(507,5876) = 229164


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 4120/507, 3524/5876

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 4120/507, 3524/5876?

Answer: GCF of Numerators as per given numbers 4120/507, 3524/5876 is

GCF of Numerators i.e. for 4120,3524 is 4

LCM of denominators i.e. for 507,5876 is 229164.

Thus, GCF of Fractions is 4/229164.Finally, GCF of Fractions for 4120/507, 3524/5876 is 4/229164.