Greatest Common Factor of 4368/59, 4938/542

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4368/59, 4938/542

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 4368/59,4938/542

Given fractions are 4368/59,4938/542

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 4368,4938

Greatest Common Factor of Numerators i.e. GCF of 4368,4938 is 6 .

LCM of Denominators means LCM of 59,542 as per the given fractions.

LCM of 59,542 is 31978 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4368,4938

GCF of Fractions 4368/59,4938/542 is 6/31978

2 4368, 4938
3 2184, 2469
728, 823

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 4368,4938 By Matching Biggest Common Factor Method

Greatest Common Factor of 4368,4938 By Matching Biggest Common Factor Method

Factors of 4368

List of positive integer factors of 4368 that divides 4368 without a remainder.

1,2,3,4,6,7,8,12,13,14,16,21,24,26,28,39,42,48,52,56,78,84,91,104,112,156,168,182,208,273,312,336,364,546,624,728,1092,1456,2184,4368

Factors of 4938

List of positive integer factors of 4938 that divides 4938 without a remainder.

1,2,3,6,823,1646,2469,4938

Greatest Common Factor

We found the factors 4368,4938 . The biggest common factor number is the GCF number.
So the greatest common factor 4368,4938 is 6.

Lets's calculate LCM of 59,542

Given numbers has no common factors except 1. So, there LCM is their product i.e 31978

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/31978

Therefore, the GCF of Fractions 4368/59,4938/542 is 6/31978

Least Common Multiple of 59,542 with GCF Formula

Least Common Multiple of 59,542 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 59,542 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,542) = 1

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

GCF(59,542) x common factors =1 x 1 = 1

LCM(59,542) = ( 59 × 542 ) / 1

LCM(59,542) = 31978 / 1

LCM(59,542) = 31978


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 4368/59, 4938/542

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 4368/59, 4938/542?

Answer: GCF of Numerators as per given numbers 4368/59, 4938/542 is

GCF of Numerators i.e. for 4368,4938 is 6

LCM of denominators i.e. for 59,542 is 31978.

Thus, GCF of Fractions is 6/31978.Finally, GCF of Fractions for 4368/59, 4938/542 is 6/31978.