Greatest Common Factor of 8684/270, 5977/6385

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8684/270, 5977/6385

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 8684/270,5977/6385

Given fractions are 8684/270,5977/6385

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 8684,5977

Greatest Common Factor of Numerators i.e. GCF of 8684,5977 is 1 .

LCM of Denominators means LCM of 270,6385 as per the given fractions.

LCM of 270,6385 is 344790 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8684,5977

GCF of Fractions 8684/270,5977/6385 is 1/344790

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 8684,5977 By Matching Biggest Common Factor Method

Greatest Common Factor of 8684,5977 By Matching Biggest Common Factor Method

Factors of 8684

List of positive integer factors of 8684 that divides 8684 without a remainder.

1,2,4,13,26,52,167,334,668,2171,4342,8684

Factors of 5977

List of positive integer factors of 5977 that divides 5977 without a remainder.

1,43,139,5977

Greatest Common Factor

We found the factors 8684,5977 . The biggest common factor number is the GCF number.
So the greatest common factor 8684,5977 is 1.

Lets's calculate LCM of 270,6385

5 270, 6385
54, 1277

∴ So the LCM of the given numbers is 5 x 54 x 1277 = 344790

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/344790

Therefore, the GCF of Fractions 8684/270,5977/6385 is 1/344790

Least Common Multiple of 270,6385 with GCF Formula

Least Common Multiple of 270,6385 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 270,6385 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(270,6385) = 5

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

GCF(270,6385) x common factors =5 x 1 = 5

LCM(270,6385) = ( 270 × 6385 ) / 5

LCM(270,6385) = 1723950 / 5

LCM(270,6385) = 344790


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 8684/270, 5977/6385

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 8684/270, 5977/6385?

Answer: GCF of Numerators as per given numbers 8684/270, 5977/6385 is

GCF of Numerators i.e. for 8684,5977 is 1

LCM of denominators i.e. for 270,6385 is 344790.

Thus, GCF of Fractions is 1/344790.Finally, GCF of Fractions for 8684/270, 5977/6385 is 1/344790.