Greatest Common Factor of 5774/604, 5108/751

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5774/604, 5108/751

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 5774/604,5108/751

Given fractions are 5774/604,5108/751

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 5774,5108

Greatest Common Factor of Numerators i.e. GCF of 5774,5108 is 2 .

LCM of Denominators means LCM of 604,751 as per the given fractions.

LCM of 604,751 is 453604 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5774,5108

GCF of Fractions 5774/604,5108/751 is 2/453604

2 5774, 5108
2887, 2554

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

Greatest Common Factor of 5774,5108 By Matching Biggest Common Factor Method

Greatest Common Factor of 5774,5108 By Matching Biggest Common Factor Method

Factors of 5774

List of positive integer factors of 5774 that divides 5774 without a remainder.

1,2,2887,5774

Factors of 5108

List of positive integer factors of 5108 that divides 5108 without a remainder.

1,2,4,1277,2554,5108

Greatest Common Factor

We found the factors 5774,5108 . The biggest common factor number is the GCF number.
So the greatest common factor 5774,5108 is 2.

Lets's calculate LCM of 604,751

Given numbers has no common factors except 1. So, there LCM is their product i.e 453604

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/453604

Therefore, the GCF of Fractions 5774/604,5108/751 is 2/453604

Least Common Multiple of 604,751 with GCF Formula

Least Common Multiple of 604,751 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 604,751 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(604,751) = 1

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

GCF(604,751) x common factors =1 x 1 = 1

LCM(604,751) = ( 604 × 751 ) / 1

LCM(604,751) = 453604 / 1

LCM(604,751) = 453604


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 5774/604, 5108/751

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 5774/604, 5108/751?

Answer: GCF of Numerators as per given numbers 5774/604, 5108/751 is

GCF of Numerators i.e. for 5774,5108 is 2

LCM of denominators i.e. for 604,751 is 453604.

Thus, GCF of Fractions is 2/453604.Finally, GCF of Fractions for 5774/604, 5108/751 is 2/453604.