Greatest Common Factor of 948/12, 543/5288

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 948/12, 543/5288

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 948/12,543/5288

Given fractions are 948/12,543/5288

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 948,543

Greatest Common Factor of Numerators i.e. GCF of 948,543 is 3 .

LCM of Denominators means LCM of 12,5288 as per the given fractions.

LCM of 12,5288 is 15864 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 948,543

GCF of Fractions 948/12,543/5288 is 3/15864

3 948, 543
316, 181

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 948,543 By Matching Biggest Common Factor Method

Greatest Common Factor of 948,543 By Matching Biggest Common Factor Method

Factors of 948

List of positive integer factors of 948 that divides 948 without a remainder.

1,2,3,4,6,12,79,158,237,316,474,948

Factors of 543

List of positive integer factors of 543 that divides 543 without a remainder.

1,3,181,543

Greatest Common Factor

We found the factors 948,543 . The biggest common factor number is the GCF number.
So the greatest common factor 948,543 is 3.

Lets's calculate LCM of 12,5288

2 12, 5288
2 6, 2644
3, 1322

∴ So the LCM of the given numbers is 2 x 2 x 3 x 1322 = 15864

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/15864

Therefore, the GCF of Fractions 948/12,543/5288 is 3/15864

Least Common Multiple of 12,5288 with GCF Formula

Least Common Multiple of 12,5288 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 12,5288 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,5288) = 4

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

GCF(12,5288) x common factors =4 x 1 = 4

LCM(12,5288) = ( 12 × 5288 ) / 4

LCM(12,5288) = 63456 / 4

LCM(12,5288) = 15864


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 948/12, 543/5288

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 948/12, 543/5288?

Answer: GCF of Numerators as per given numbers 948/12, 543/5288 is

GCF of Numerators i.e. for 948,543 is 3

LCM of denominators i.e. for 12,5288 is 15864.

Thus, GCF of Fractions is 3/15864.Finally, GCF of Fractions for 948/12, 543/5288 is 3/15864.