Greatest Common Factor of 2398/76, 4742/601

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2398/76, 4742/601

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 2398/76,4742/601

Given fractions are 2398/76,4742/601

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 2398,4742

Greatest Common Factor of Numerators i.e. GCF of 2398,4742 is 2 .

LCM of Denominators means LCM of 76,601 as per the given fractions.

LCM of 76,601 is 45676 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2398,4742

GCF of Fractions 2398/76,4742/601 is 2/45676

2 2398, 4742
1199, 2371

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

Greatest Common Factor of 2398,4742 By Matching Biggest Common Factor Method

Greatest Common Factor of 2398,4742 By Matching Biggest Common Factor Method

Factors of 2398

List of positive integer factors of 2398 that divides 2398 without a remainder.

1,2,11,22,109,218,1199,2398

Factors of 4742

List of positive integer factors of 4742 that divides 4742 without a remainder.

1,2,2371,4742

Greatest Common Factor

We found the factors 2398,4742 . The biggest common factor number is the GCF number.
So the greatest common factor 2398,4742 is 2.

Lets's calculate LCM of 76,601

Given numbers has no common factors except 1. So, there LCM is their product i.e 45676

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/45676

Therefore, the GCF of Fractions 2398/76,4742/601 is 2/45676

Least Common Multiple of 76,601 with GCF Formula

Least Common Multiple of 76,601 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 76,601 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,601) = 1

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

GCF(76,601) x common factors =1 x 1 = 1

LCM(76,601) = ( 76 × 601 ) / 1

LCM(76,601) = 45676 / 1

LCM(76,601) = 45676


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 2398/76, 4742/601

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 2398/76, 4742/601?

Answer: GCF of Numerators as per given numbers 2398/76, 4742/601 is

GCF of Numerators i.e. for 2398,4742 is 2

LCM of denominators i.e. for 76,601 is 45676.

Thus, GCF of Fractions is 2/45676.Finally, GCF of Fractions for 2398/76, 4742/601 is 2/45676.