Greatest Common Factor of 4898/363, 5971/5940

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4898/363, 5971/5940

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 4898/363,5971/5940

Given fractions are 4898/363,5971/5940

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 4898,5971

Greatest Common Factor of Numerators i.e. GCF of 4898,5971 is 1 .

LCM of Denominators means LCM of 363,5940 as per the given fractions.

LCM of 363,5940 is 65340 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4898,5971

GCF of Fractions 4898/363,5971/5940 is 1/65340

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

Greatest Common Factor of 4898,5971 By Matching Biggest Common Factor Method

Greatest Common Factor of 4898,5971 By Matching Biggest Common Factor Method

Factors of 4898

List of positive integer factors of 4898 that divides 4898 without a remainder.

1,2,31,62,79,158,2449,4898

Factors of 5971

List of positive integer factors of 5971 that divides 5971 without a remainder.

1,7,853,5971

Greatest Common Factor

We found the factors 4898,5971 . The biggest common factor number is the GCF number.
So the greatest common factor 4898,5971 is 1.

Lets's calculate LCM of 363,5940

3 363, 5940
11 121, 1980
11, 180

∴ So the LCM of the given numbers is 3 x 11 x 11 x 180 = 65340

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/65340

Therefore, the GCF of Fractions 4898/363,5971/5940 is 1/65340

Least Common Multiple of 363,5940 with GCF Formula

Least Common Multiple of 363,5940 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 363,5940 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(363,5940) = 33

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

GCF(363,5940) x common factors =33 x 1 = 33

LCM(363,5940) = ( 363 × 5940 ) / 33

LCM(363,5940) = 2156220 / 33

LCM(363,5940) = 65340


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 4898/363, 5971/5940

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 4898/363, 5971/5940?

Answer: GCF of Numerators as per given numbers 4898/363, 5971/5940 is

GCF of Numerators i.e. for 4898,5971 is 1

LCM of denominators i.e. for 363,5940 is 65340.

Thus, GCF of Fractions is 1/65340.Finally, GCF of Fractions for 4898/363, 5971/5940 is 1/65340.