Greatest Common Factor of 655/80, 8579/292

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 655/80, 8579/292

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 655/80,8579/292

Given fractions are 655/80,8579/292

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 655,8579

Greatest Common Factor of Numerators i.e. GCF of 655,8579 is 1 .

LCM of Denominators means LCM of 80,292 as per the given fractions.

LCM of 80,292 is 5840 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 655,8579

GCF of Fractions 655/80,8579/292 is 1/5840

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

Greatest Common Factor of 655,8579 By Matching Biggest Common Factor Method

Greatest Common Factor of 655,8579 By Matching Biggest Common Factor Method

Factors of 655

List of positive integer factors of 655 that divides 655 without a remainder.

1,5,131,655

Factors of 8579

List of positive integer factors of 8579 that divides 8579 without a remainder.

1,23,373,8579

Greatest Common Factor

We found the factors 655,8579 . The biggest common factor number is the GCF number.
So the greatest common factor 655,8579 is 1.

Lets's calculate LCM of 80,292

2 80, 292
2 40, 146
20, 73

∴ So the LCM of the given numbers is 2 x 2 x 20 x 73 = 5840

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5840

Therefore, the GCF of Fractions 655/80,8579/292 is 1/5840

Least Common Multiple of 80,292 with GCF Formula

Least Common Multiple of 80,292 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 80,292 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,292) = 4

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

GCF(80,292) x common factors =4 x 1 = 4

LCM(80,292) = ( 80 × 292 ) / 4

LCM(80,292) = 23360 / 4

LCM(80,292) = 5840


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 655/80, 8579/292

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 655/80, 8579/292?

Answer: GCF of Numerators as per given numbers 655/80, 8579/292 is

GCF of Numerators i.e. for 655,8579 is 1

LCM of denominators i.e. for 80,292 is 5840.

Thus, GCF of Fractions is 1/5840.Finally, GCF of Fractions for 655/80, 8579/292 is 1/5840.