Greatest Common Factor of 404/591, 788/637, 142/508

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 404/591, 788/637, 142/508

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 404/591,788/637,142/508

Given fractions are 404/591,788/637,142/508

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 404,788,142

Greatest Common Factor of Numerators i.e. GCF of 404,788,142 is 2 .

LCM of Denominators means LCM of 591,637,508 as per the given fractions.

LCM of 591,637,508 is 191245236 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 404,788,142

GCF of Fractions 404/591,788/637,142/508 is 2/191245236

2 404, 788, 142
202, 394, 71

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

Greatest Common Factor of 404,788,142 By Matching Biggest Common Factor Method

Greatest Common Factor of 404,788,142 By Matching Biggest Common Factor Method

Factors of 404

List of positive integer factors of 404 that divides 404 without a remainder.

1,2,4,101,202,404

Factors of 788

List of positive integer factors of 788 that divides 788 without a remainder.

1,2,4,197,394,788

Factors of 142

List of positive integer factors of 142 that divides 142 without a remainder.

1,2,71,142

Greatest Common Factor

We found the factors 404,788,142 . The biggest common factor number is the GCF number.
So the greatest common factor 404,788,142 is 2.

Lets's calculate LCM of 591,637,508

Given numbers has no common factors except 1. So, there LCM is their product i.e 191245236

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/191245236

Therefore, the GCF of Fractions 404/591,788/637,142/508 is 2/191245236

Least Common Multiple of 591,637,508 with GCF Formula

Least Common Multiple of 591,637,508 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 591,637,508 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(591,637,508) = 1

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

GCF(591,637,508) x common factors =1 x 1 = 1

LCM(591,637,508) = ( 591 × 637 × 508 ) / 1

LCM(591,637,508) = 191245236 / 1

LCM(591,637,508) = 191245236


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 404/591, 788/637, 142/508

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 404/591, 788/637, 142/508?

Answer: GCF of Numerators as per given numbers 404/591, 788/637, 142/508 is

GCF of Numerators i.e. for 404,788,142 is 2

LCM of denominators i.e. for 591,637,508 is 191245236.

Thus, GCF of Fractions is 2/191245236.Finally, GCF of Fractions for 404/591, 788/637, 142/508 is 2/191245236.