Greatest Common Factor of 613/17, 5117/297

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 613/17, 5117/297

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 613/17,5117/297

Given fractions are 613/17,5117/297

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 613,5117

Greatest Common Factor of Numerators i.e. GCF of 613,5117 is 1 .

LCM of Denominators means LCM of 17,297 as per the given fractions.

LCM of 17,297 is 5049 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 613,5117

GCF of Fractions 613/17,5117/297 is 1/5049

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

Greatest Common Factor of 613,5117 By Matching Biggest Common Factor Method

Greatest Common Factor of 613,5117 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 5117

List of positive integer factors of 5117 that divides 5117 without a remainder.

1,7,17,43,119,301,731,5117

Greatest Common Factor

We found the factors 613,5117 . The biggest common factor number is the GCF number.
So the greatest common factor 613,5117 is 1.

Lets's calculate LCM of 17,297

Given numbers has no common factors except 1. So, there LCM is their product i.e 5049

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5049

Therefore, the GCF of Fractions 613/17,5117/297 is 1/5049

Least Common Multiple of 17,297 with GCF Formula

Least Common Multiple of 17,297 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 17,297 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,297) = 1

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

GCF(17,297) x common factors =1 x 1 = 1

LCM(17,297) = ( 17 × 297 ) / 1

LCM(17,297) = 5049 / 1

LCM(17,297) = 5049


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 613/17, 5117/297

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 613/17, 5117/297?

Answer: GCF of Numerators as per given numbers 613/17, 5117/297 is

GCF of Numerators i.e. for 613,5117 is 1

LCM of denominators i.e. for 17,297 is 5049.

Thus, GCF of Fractions is 1/5049.Finally, GCF of Fractions for 613/17, 5117/297 is 1/5049.