Greatest Common Factor of 8574/156, 6838/2822

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8574/156, 6838/2822

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 8574/156,6838/2822

Given fractions are 8574/156,6838/2822

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 8574,6838

Greatest Common Factor of Numerators i.e. GCF of 8574,6838 is 2 .

LCM of Denominators means LCM of 156,2822 as per the given fractions.

LCM of 156,2822 is 220116 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8574,6838

GCF of Fractions 8574/156,6838/2822 is 2/220116

2 8574, 6838
4287, 3419

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

Greatest Common Factor of 8574,6838 By Matching Biggest Common Factor Method

Greatest Common Factor of 8574,6838 By Matching Biggest Common Factor Method

Factors of 8574

List of positive integer factors of 8574 that divides 8574 without a remainder.

1,2,3,6,1429,2858,4287,8574

Factors of 6838

List of positive integer factors of 6838 that divides 6838 without a remainder.

1,2,13,26,263,526,3419,6838

Greatest Common Factor

We found the factors 8574,6838 . The biggest common factor number is the GCF number.
So the greatest common factor 8574,6838 is 2.

Lets's calculate LCM of 156,2822

2 156, 2822
78, 1411

∴ So the LCM of the given numbers is 2 x 78 x 1411 = 220116

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/220116

Therefore, the GCF of Fractions 8574/156,6838/2822 is 2/220116

Least Common Multiple of 156,2822 with GCF Formula

Least Common Multiple of 156,2822 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 156,2822 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(156,2822) = 2

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

GCF(156,2822) x common factors =2 x 1 = 2

LCM(156,2822) = ( 156 × 2822 ) / 2

LCM(156,2822) = 440232 / 2

LCM(156,2822) = 220116


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 8574/156, 6838/2822

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 8574/156, 6838/2822?

Answer: GCF of Numerators as per given numbers 8574/156, 6838/2822 is

GCF of Numerators i.e. for 8574,6838 is 2

LCM of denominators i.e. for 156,2822 is 220116.

Thus, GCF of Fractions is 2/220116.Finally, GCF of Fractions for 8574/156, 6838/2822 is 2/220116.