Greatest Common Factor of 5028/68, 8762/788

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5028/68, 8762/788

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 5028/68,8762/788

Given fractions are 5028/68,8762/788

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 5028,8762

Greatest Common Factor of Numerators i.e. GCF of 5028,8762 is 2 .

LCM of Denominators means LCM of 68,788 as per the given fractions.

LCM of 68,788 is 13396 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5028,8762

GCF of Fractions 5028/68,8762/788 is 2/13396

2 5028, 8762
2514, 4381

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

Greatest Common Factor of 5028,8762 By Matching Biggest Common Factor Method

Greatest Common Factor of 5028,8762 By Matching Biggest Common Factor Method

Factors of 5028

List of positive integer factors of 5028 that divides 5028 without a remainder.

1,2,3,4,6,12,419,838,1257,1676,2514,5028

Factors of 8762

List of positive integer factors of 8762 that divides 8762 without a remainder.

1,2,13,26,337,674,4381,8762

Greatest Common Factor

We found the factors 5028,8762 . The biggest common factor number is the GCF number.
So the greatest common factor 5028,8762 is 2.

Lets's calculate LCM of 68,788

2 68, 788
2 34, 394
17, 197

∴ So the LCM of the given numbers is 2 x 2 x 17 x 197 = 13396

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/13396

Therefore, the GCF of Fractions 5028/68,8762/788 is 2/13396

Least Common Multiple of 68,788 with GCF Formula

Least Common Multiple of 68,788 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 68,788 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,788) = 4

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

GCF(68,788) x common factors =4 x 1 = 4

LCM(68,788) = ( 68 × 788 ) / 4

LCM(68,788) = 53584 / 4

LCM(68,788) = 13396


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 5028/68, 8762/788

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 5028/68, 8762/788?

Answer: GCF of Numerators as per given numbers 5028/68, 8762/788 is

GCF of Numerators i.e. for 5028,8762 is 2

LCM of denominators i.e. for 68,788 is 13396.

Thus, GCF of Fractions is 2/13396.Finally, GCF of Fractions for 5028/68, 8762/788 is 2/13396.