Greatest Common Factor of 868/74, 5274/542

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 868/74, 5274/542

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 868/74,5274/542

Given fractions are 868/74,5274/542

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 868,5274

Greatest Common Factor of Numerators i.e. GCF of 868,5274 is 2 .

LCM of Denominators means LCM of 74,542 as per the given fractions.

LCM of 74,542 is 20054 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 868,5274

GCF of Fractions 868/74,5274/542 is 2/20054

2 868, 5274
434, 2637

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

Greatest Common Factor of 868,5274 By Matching Biggest Common Factor Method

Greatest Common Factor of 868,5274 By Matching Biggest Common Factor Method

Factors of 868

List of positive integer factors of 868 that divides 868 without a remainder.

1,2,4,7,14,28,31,62,124,217,434,868

Factors of 5274

List of positive integer factors of 5274 that divides 5274 without a remainder.

1,2,3,6,9,18,293,586,879,1758,2637,5274

Greatest Common Factor

We found the factors 868,5274 . The biggest common factor number is the GCF number.
So the greatest common factor 868,5274 is 2.

Lets's calculate LCM of 74,542

2 74, 542
37, 271

∴ So the LCM of the given numbers is 2 x 37 x 271 = 20054

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/20054

Therefore, the GCF of Fractions 868/74,5274/542 is 2/20054

Least Common Multiple of 74,542 with GCF Formula

Least Common Multiple of 74,542 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 74,542 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,542) = 2

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

GCF(74,542) x common factors =2 x 1 = 2

LCM(74,542) = ( 74 × 542 ) / 2

LCM(74,542) = 40108 / 2

LCM(74,542) = 20054


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 868/74, 5274/542

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 868/74, 5274/542?

Answer: GCF of Numerators as per given numbers 868/74, 5274/542 is

GCF of Numerators i.e. for 868,5274 is 2

LCM of denominators i.e. for 74,542 is 20054.

Thus, GCF of Fractions is 2/20054.Finally, GCF of Fractions for 868/74, 5274/542 is 2/20054.