Greatest Common Factor of 5168/72, 5518/790

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5168/72, 5518/790

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 5168/72,5518/790

Given fractions are 5168/72,5518/790

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 5168,5518

Greatest Common Factor of Numerators i.e. GCF of 5168,5518 is 2 .

LCM of Denominators means LCM of 72,790 as per the given fractions.

LCM of 72,790 is 28440 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5168,5518

GCF of Fractions 5168/72,5518/790 is 2/28440

2 5168, 5518
2584, 2759

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

Greatest Common Factor of 5168,5518 By Matching Biggest Common Factor Method

Greatest Common Factor of 5168,5518 By Matching Biggest Common Factor Method

Factors of 5168

List of positive integer factors of 5168 that divides 5168 without a remainder.

1,2,4,8,16,17,19,34,38,68,76,136,152,272,304,323,646,1292,2584,5168

Factors of 5518

List of positive integer factors of 5518 that divides 5518 without a remainder.

1,2,31,62,89,178,2759,5518

Greatest Common Factor

We found the factors 5168,5518 . The biggest common factor number is the GCF number.
So the greatest common factor 5168,5518 is 2.

Lets's calculate LCM of 72,790

2 72, 790
36, 395

∴ So the LCM of the given numbers is 2 x 36 x 395 = 28440

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/28440

Therefore, the GCF of Fractions 5168/72,5518/790 is 2/28440

Least Common Multiple of 72,790 with GCF Formula

Least Common Multiple of 72,790 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 72,790 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,790) = 2

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

GCF(72,790) x common factors =2 x 1 = 2

LCM(72,790) = ( 72 × 790 ) / 2

LCM(72,790) = 56880 / 2

LCM(72,790) = 28440


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 5168/72, 5518/790

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 5168/72, 5518/790?

Answer: GCF of Numerators as per given numbers 5168/72, 5518/790 is

GCF of Numerators i.e. for 5168,5518 is 2

LCM of denominators i.e. for 72,790 is 28440.

Thus, GCF of Fractions is 2/28440.Finally, GCF of Fractions for 5168/72, 5518/790 is 2/28440.