Greatest Common Factor of 6331/424, 4955/760

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6331/424, 4955/760

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 6331/424,4955/760

Given fractions are 6331/424,4955/760

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 6331,4955

Greatest Common Factor of Numerators i.e. GCF of 6331,4955 is 1 .

LCM of Denominators means LCM of 424,760 as per the given fractions.

LCM of 424,760 is 40280 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6331,4955

GCF of Fractions 6331/424,4955/760 is 1/40280

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 6331,4955 By Matching Biggest Common Factor Method

Greatest Common Factor of 6331,4955 By Matching Biggest Common Factor Method

Factors of 6331

List of positive integer factors of 6331 that divides 6331 without a remainder.

1,13,487,6331

Factors of 4955

List of positive integer factors of 4955 that divides 4955 without a remainder.

1,5,991,4955

Greatest Common Factor

We found the factors 6331,4955 . The biggest common factor number is the GCF number.
So the greatest common factor 6331,4955 is 1.

Lets's calculate LCM of 424,760

2 424, 760
2 212, 380
2 106, 190
53, 95

∴ So the LCM of the given numbers is 2 x 2 x 2 x 53 x 95 = 40280

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/40280

Therefore, the GCF of Fractions 6331/424,4955/760 is 1/40280

Least Common Multiple of 424,760 with GCF Formula

Least Common Multiple of 424,760 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 424,760 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(424,760) = 8

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

GCF(424,760) x common factors =8 x 1 = 8

LCM(424,760) = ( 424 × 760 ) / 8

LCM(424,760) = 322240 / 8

LCM(424,760) = 40280


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 6331/424, 4955/760

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 6331/424, 4955/760?

Answer: GCF of Numerators as per given numbers 6331/424, 4955/760 is

GCF of Numerators i.e. for 6331,4955 is 1

LCM of denominators i.e. for 424,760 is 40280.

Thus, GCF of Fractions is 1/40280.Finally, GCF of Fractions for 6331/424, 4955/760 is 1/40280.