Greatest Common Factor of 568/45, 291/61, 343/196

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 568/45, 291/61, 343/196

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 568/45,291/61,343/196

Given fractions are 568/45,291/61,343/196

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 568,291,343

Greatest Common Factor of Numerators i.e. GCF of 568,291,343 is 1 .

LCM of Denominators means LCM of 45,61,196 as per the given fractions.

LCM of 45,61,196 is 538020 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 568,291,343

GCF of Fractions 568/45,291/61,343/196 is 1/538020

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

Greatest Common Factor of 568,291,343 By Matching Biggest Common Factor Method

Greatest Common Factor of 568,291,343 By Matching Biggest Common Factor Method

Factors of 568

List of positive integer factors of 568 that divides 568 without a remainder.

1,2,4,8,71,142,284,568

Factors of 291

List of positive integer factors of 291 that divides 291 without a remainder.

1,3,97,291

Factors of 343

List of positive integer factors of 343 that divides 343 without a remainder.

1,7,49,343

Greatest Common Factor

We found the factors 568,291,343 . The biggest common factor number is the GCF number.
So the greatest common factor 568,291,343 is 1.

Lets's calculate LCM of 45,61,196

Given numbers has no common factors except 1. So, there LCM is their product i.e 538020

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/538020

Therefore, the GCF of Fractions 568/45,291/61,343/196 is 1/538020

Least Common Multiple of 45,61,196 with GCF Formula

Least Common Multiple of 45,61,196 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 45,61,196 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,61,196) = 1

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

GCF(45,61,196) x common factors =1 x 1 = 1

LCM(45,61,196) = ( 45 × 61 × 196 ) / 1

LCM(45,61,196) = 538020 / 1

LCM(45,61,196) = 538020


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 568/45, 291/61, 343/196

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 568/45, 291/61, 343/196?

Answer: GCF of Numerators as per given numbers 568/45, 291/61, 343/196 is

GCF of Numerators i.e. for 568,291,343 is 1

LCM of denominators i.e. for 45,61,196 is 538020.

Thus, GCF of Fractions is 1/538020.Finally, GCF of Fractions for 568/45, 291/61, 343/196 is 1/538020.