Greatest Common Factor of 8013/58, 2778/642

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8013/58, 2778/642

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 8013/58,2778/642

Given fractions are 8013/58,2778/642

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 8013,2778

Greatest Common Factor of Numerators i.e. GCF of 8013,2778 is 3 .

LCM of Denominators means LCM of 58,642 as per the given fractions.

LCM of 58,642 is 18618 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8013,2778

GCF of Fractions 8013/58,2778/642 is 3/18618

3 8013, 2778
2671, 926

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

Greatest Common Factor of 8013,2778 By Matching Biggest Common Factor Method

Greatest Common Factor of 8013,2778 By Matching Biggest Common Factor Method

Factors of 8013

List of positive integer factors of 8013 that divides 8013 without a remainder.

1,3,2671,8013

Factors of 2778

List of positive integer factors of 2778 that divides 2778 without a remainder.

1,2,3,6,463,926,1389,2778

Greatest Common Factor

We found the factors 8013,2778 . The biggest common factor number is the GCF number.
So the greatest common factor 8013,2778 is 3.

Lets's calculate LCM of 58,642

2 58, 642
29, 321

∴ So the LCM of the given numbers is 2 x 29 x 321 = 18618

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/18618

Therefore, the GCF of Fractions 8013/58,2778/642 is 3/18618

Least Common Multiple of 58,642 with GCF Formula

Least Common Multiple of 58,642 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 58,642 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,642) = 2

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

GCF(58,642) x common factors =2 x 1 = 2

LCM(58,642) = ( 58 × 642 ) / 2

LCM(58,642) = 37236 / 2

LCM(58,642) = 18618


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 8013/58, 2778/642

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 8013/58, 2778/642?

Answer: GCF of Numerators as per given numbers 8013/58, 2778/642 is

GCF of Numerators i.e. for 8013,2778 is 3

LCM of denominators i.e. for 58,642 is 18618.

Thus, GCF of Fractions is 3/18618.Finally, GCF of Fractions for 8013/58, 2778/642 is 3/18618.