Greatest Common Factor of 317/568, 4175/7401

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 317/568, 4175/7401

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 317/568,4175/7401

Given fractions are 317/568,4175/7401

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 317,4175

Greatest Common Factor of Numerators i.e. GCF of 317,4175 is 1 .

LCM of Denominators means LCM of 568,7401 as per the given fractions.

LCM of 568,7401 is 4203768 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 317,4175

GCF of Fractions 317/568,4175/7401 is 1/4203768

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

Greatest Common Factor of 317,4175 By Matching Biggest Common Factor Method

Greatest Common Factor of 317,4175 By Matching Biggest Common Factor Method

Factors of 317

List of positive integer factors of 317 that divides 317 without a remainder.

1,317

Factors of 4175

List of positive integer factors of 4175 that divides 4175 without a remainder.

1,5,25,167,835,4175

Greatest Common Factor

We found the factors 317,4175 . The biggest common factor number is the GCF number.
So the greatest common factor 317,4175 is 1.

Lets's calculate LCM of 568,7401

Given numbers has no common factors except 1. So, there LCM is their product i.e 4203768

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4203768

Therefore, the GCF of Fractions 317/568,4175/7401 is 1/4203768

Least Common Multiple of 568,7401 with GCF Formula

Least Common Multiple of 568,7401 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 568,7401 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(568,7401) = 1

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

GCF(568,7401) x common factors =1 x 1 = 1

LCM(568,7401) = ( 568 × 7401 ) / 1

LCM(568,7401) = 4203768 / 1

LCM(568,7401) = 4203768


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 317/568, 4175/7401

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 317/568, 4175/7401?

Answer: GCF of Numerators as per given numbers 317/568, 4175/7401 is

GCF of Numerators i.e. for 317,4175 is 1

LCM of denominators i.e. for 568,7401 is 4203768.

Thus, GCF of Fractions is 1/4203768.Finally, GCF of Fractions for 317/568, 4175/7401 is 1/4203768.