Greatest Common Factor of 613/80, 170/65, 557/313

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 613/80, 170/65, 557/313

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 613/80,170/65,557/313

Given fractions are 613/80,170/65,557/313

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 613,170,557

Greatest Common Factor of Numerators i.e. GCF of 613,170,557 is 1 .

LCM of Denominators means LCM of 80,65,313 as per the given fractions.

LCM of 80,65,313 is 325520 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 613,170,557

GCF of Fractions 613/80,170/65,557/313 is 1/325520

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

Greatest Common Factor of 613,170,557 By Matching Biggest Common Factor Method

Greatest Common Factor of 613,170,557 By Matching Biggest Common Factor Method

Factors of 613

List of positive integer factors of 613 that divides 613 without a remainder.

1,613

Factors of 170

List of positive integer factors of 170 that divides 170 without a remainder.

1,2,5,10,17,34,85,170

Factors of 557

List of positive integer factors of 557 that divides 557 without a remainder.

1,557

Greatest Common Factor

We found the factors 613,170,557 . The biggest common factor number is the GCF number.
So the greatest common factor 613,170,557 is 1.

Lets's calculate LCM of 80,65,313

5 80, 65, 313
16, 13, 313

∴ So the LCM of the given numbers is 5 x 16 x 13 x 313 = 325520

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/325520

Therefore, the GCF of Fractions 613/80,170/65,557/313 is 1/325520

Least Common Multiple of 80,65,313 with GCF Formula

Least Common Multiple of 80,65,313 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 80,65,313 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,65,313) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(80,65,313) x common factors =1 x 5 = 5

LCM(80,65,313) = ( 80 × 65 × 313 ) / 5

LCM(80,65,313) = 1627600 / 5

LCM(80,65,313) = 325520


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 613/80, 170/65, 557/313

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 613/80, 170/65, 557/313?

Answer: GCF of Numerators as per given numbers 613/80, 170/65, 557/313 is

GCF of Numerators i.e. for 613,170,557 is 1

LCM of denominators i.e. for 80,65,313 is 325520.

Thus, GCF of Fractions is 1/325520.Finally, GCF of Fractions for 613/80, 170/65, 557/313 is 1/325520.