Greatest Common Factor of 5172/114, 6548/8984

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5172/114, 6548/8984

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 5172/114,6548/8984

Given fractions are 5172/114,6548/8984

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 5172,6548

Greatest Common Factor of Numerators i.e. GCF of 5172,6548 is 4 .

LCM of Denominators means LCM of 114,8984 as per the given fractions.

LCM of 114,8984 is 512088 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5172,6548

GCF of Fractions 5172/114,6548/8984 is 4/512088

2 5172, 6548
2 2586, 3274
1293, 1637

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 5172,6548 By Matching Biggest Common Factor Method

Greatest Common Factor of 5172,6548 By Matching Biggest Common Factor Method

Factors of 5172

List of positive integer factors of 5172 that divides 5172 without a remainder.

1,2,3,4,6,12,431,862,1293,1724,2586,5172

Factors of 6548

List of positive integer factors of 6548 that divides 6548 without a remainder.

1,2,4,1637,3274,6548

Greatest Common Factor

We found the factors 5172,6548 . The biggest common factor number is the GCF number.
So the greatest common factor 5172,6548 is 4.

Lets's calculate LCM of 114,8984

2 114, 8984
57, 4492

∴ So the LCM of the given numbers is 2 x 57 x 4492 = 512088

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/512088

Therefore, the GCF of Fractions 5172/114,6548/8984 is 4/512088

Least Common Multiple of 114,8984 with GCF Formula

Least Common Multiple of 114,8984 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 114,8984 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(114,8984) = 2

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

GCF(114,8984) x common factors =2 x 1 = 2

LCM(114,8984) = ( 114 × 8984 ) / 2

LCM(114,8984) = 1024176 / 2

LCM(114,8984) = 512088


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 5172/114, 6548/8984

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 5172/114, 6548/8984?

Answer: GCF of Numerators as per given numbers 5172/114, 6548/8984 is

GCF of Numerators i.e. for 5172,6548 is 4

LCM of denominators i.e. for 114,8984 is 512088.

Thus, GCF of Fractions is 4/512088.Finally, GCF of Fractions for 5172/114, 6548/8984 is 4/512088.