Greatest Common Factor of 516/548, 6579/4396

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 516/548, 6579/4396

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 516/548,6579/4396

Given fractions are 516/548,6579/4396

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 516,6579

Greatest Common Factor of Numerators i.e. GCF of 516,6579 is 129 .

LCM of Denominators means LCM of 548,4396 as per the given fractions.

LCM of 548,4396 is 602252 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 516,6579

GCF of Fractions 516/548,6579/4396 is 129/602252

3 516, 6579
43 172, 2193
4, 51

∴ So the GCF of the given numbers is 3 x 43 = 129

Greatest Common Factor of 516,6579 By Matching Biggest Common Factor Method

Greatest Common Factor of 516,6579 By Matching Biggest Common Factor Method

Factors of 516

List of positive integer factors of 516 that divides 516 without a remainder.

1,2,3,4,6,12,43,86,129,172,258,516

Factors of 6579

List of positive integer factors of 6579 that divides 6579 without a remainder.

1,3,9,17,43,51,129,153,387,731,2193,6579

Greatest Common Factor

We found the factors 516,6579 . The biggest common factor number is the GCF number.
So the greatest common factor 516,6579 is 129.

Lets's calculate LCM of 548,4396

2 548, 4396
2 274, 2198
137, 1099

∴ So the LCM of the given numbers is 2 x 2 x 137 x 1099 = 602252

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 129/602252

Therefore, the GCF of Fractions 516/548,6579/4396 is 129/602252

Least Common Multiple of 548,4396 with GCF Formula

Least Common Multiple of 548,4396 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 548,4396 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(548,4396) = 4

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

GCF(548,4396) x common factors =4 x 1 = 4

LCM(548,4396) = ( 548 × 4396 ) / 4

LCM(548,4396) = 2409008 / 4

LCM(548,4396) = 602252


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 516/548, 6579/4396

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 516/548, 6579/4396?

Answer: GCF of Numerators as per given numbers 516/548, 6579/4396 is

GCF of Numerators i.e. for 516,6579 is 129

LCM of denominators i.e. for 548,4396 is 602252.

Thus, GCF of Fractions is 129/602252.Finally, GCF of Fractions for 516/548, 6579/4396 is 129/602252.