Greatest Common Factor of 8420/27, 8644/387

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8420/27, 8644/387

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 8420/27,8644/387

Given fractions are 8420/27,8644/387

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 8420,8644

Greatest Common Factor of Numerators i.e. GCF of 8420,8644 is 4 .

LCM of Denominators means LCM of 27,387 as per the given fractions.

LCM of 27,387 is 1161 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8420,8644

GCF of Fractions 8420/27,8644/387 is 4/1161

2 8420, 8644
2 4210, 4322
2105, 2161

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 8420,8644 By Matching Biggest Common Factor Method

Greatest Common Factor of 8420,8644 By Matching Biggest Common Factor Method

Factors of 8420

List of positive integer factors of 8420 that divides 8420 without a remainder.

1,2,4,5,10,20,421,842,1684,2105,4210,8420

Factors of 8644

List of positive integer factors of 8644 that divides 8644 without a remainder.

1,2,4,2161,4322,8644

Greatest Common Factor

We found the factors 8420,8644 . The biggest common factor number is the GCF number.
So the greatest common factor 8420,8644 is 4.

Lets's calculate LCM of 27,387

3 27, 387
3 9, 129
3, 43

∴ So the LCM of the given numbers is 3 x 3 x 3 x 43 = 1161

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1161

Therefore, the GCF of Fractions 8420/27,8644/387 is 4/1161

Least Common Multiple of 27,387 with GCF Formula

Least Common Multiple of 27,387 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 27,387 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,387) = 9

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

GCF(27,387) x common factors =9 x 1 = 9

LCM(27,387) = ( 27 × 387 ) / 9

LCM(27,387) = 10449 / 9

LCM(27,387) = 1161


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 8420/27, 8644/387

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 8420/27, 8644/387?

Answer: GCF of Numerators as per given numbers 8420/27, 8644/387 is

GCF of Numerators i.e. for 8420,8644 is 4

LCM of denominators i.e. for 27,387 is 1161.

Thus, GCF of Fractions is 4/1161.Finally, GCF of Fractions for 8420/27, 8644/387 is 4/1161.