Greatest Common Factor of 4762/474, 2555/5962

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4762/474, 2555/5962

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 4762/474,2555/5962

Given fractions are 4762/474,2555/5962

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 4762,2555

Greatest Common Factor of Numerators i.e. GCF of 4762,2555 is 1 .

LCM of Denominators means LCM of 474,5962 as per the given fractions.

LCM of 474,5962 is 1412994 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4762,2555

GCF of Fractions 4762/474,2555/5962 is 1/1412994

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

Greatest Common Factor of 4762,2555 By Matching Biggest Common Factor Method

Greatest Common Factor of 4762,2555 By Matching Biggest Common Factor Method

Factors of 4762

List of positive integer factors of 4762 that divides 4762 without a remainder.

1,2,2381,4762

Factors of 2555

List of positive integer factors of 2555 that divides 2555 without a remainder.

1,5,7,35,73,365,511,2555

Greatest Common Factor

We found the factors 4762,2555 . The biggest common factor number is the GCF number.
So the greatest common factor 4762,2555 is 1.

Lets's calculate LCM of 474,5962

2 474, 5962
237, 2981

∴ So the LCM of the given numbers is 2 x 237 x 2981 = 1412994

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1412994

Therefore, the GCF of Fractions 4762/474,2555/5962 is 1/1412994

Least Common Multiple of 474,5962 with GCF Formula

Least Common Multiple of 474,5962 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 474,5962 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(474,5962) = 2

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

GCF(474,5962) x common factors =2 x 1 = 2

LCM(474,5962) = ( 474 × 5962 ) / 2

LCM(474,5962) = 2825988 / 2

LCM(474,5962) = 1412994


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 4762/474, 2555/5962

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 4762/474, 2555/5962?

Answer: GCF of Numerators as per given numbers 4762/474, 2555/5962 is

GCF of Numerators i.e. for 4762,2555 is 1

LCM of denominators i.e. for 474,5962 is 1412994.

Thus, GCF of Fractions is 1/1412994.Finally, GCF of Fractions for 4762/474, 2555/5962 is 1/1412994.