Greatest Common Factor of 5656/725, 3804/634

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5656/725, 3804/634

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 5656/725,3804/634

Given fractions are 5656/725,3804/634

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 5656,3804

Greatest Common Factor of Numerators i.e. GCF of 5656,3804 is 4 .

LCM of Denominators means LCM of 725,634 as per the given fractions.

LCM of 725,634 is 459650 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5656,3804

GCF of Fractions 5656/725,3804/634 is 4/459650

2 5656, 3804
2 2828, 1902
1414, 951

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

Greatest Common Factor of 5656,3804 By Matching Biggest Common Factor Method

Greatest Common Factor of 5656,3804 By Matching Biggest Common Factor Method

Factors of 5656

List of positive integer factors of 5656 that divides 5656 without a remainder.

1,2,4,7,8,14,28,56,101,202,404,707,808,1414,2828,5656

Factors of 3804

List of positive integer factors of 3804 that divides 3804 without a remainder.

1,2,3,4,6,12,317,634,951,1268,1902,3804

Greatest Common Factor

We found the factors 5656,3804 . The biggest common factor number is the GCF number.
So the greatest common factor 5656,3804 is 4.

Lets's calculate LCM of 725,634

Given numbers has no common factors except 1. So, there LCM is their product i.e 459650

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/459650

Therefore, the GCF of Fractions 5656/725,3804/634 is 4/459650

Least Common Multiple of 725,634 with GCF Formula

Least Common Multiple of 725,634 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 725,634 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(725,634) = 1

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

GCF(725,634) x common factors =1 x 1 = 1

LCM(725,634) = ( 725 × 634 ) / 1

LCM(725,634) = 459650 / 1

LCM(725,634) = 459650


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 5656/725, 3804/634

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 5656/725, 3804/634?

Answer: GCF of Numerators as per given numbers 5656/725, 3804/634 is

GCF of Numerators i.e. for 5656,3804 is 4

LCM of denominators i.e. for 725,634 is 459650.

Thus, GCF of Fractions is 4/459650.Finally, GCF of Fractions for 5656/725, 3804/634 is 4/459650.