Greatest Common Factor of 71/575, 896/363

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 71/575, 896/363

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 71/575,896/363

Given fractions are 71/575,896/363

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 71,896

Greatest Common Factor of Numerators i.e. GCF of 71,896 is 1 .

LCM of Denominators means LCM of 575,363 as per the given fractions.

LCM of 575,363 is 208725 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 71,896

GCF of Fractions 71/575,896/363 is 1/208725

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

Greatest Common Factor of 71,896 By Matching Biggest Common Factor Method

Greatest Common Factor of 71,896 By Matching Biggest Common Factor Method

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 896

List of positive integer factors of 896 that divides 896 without a remainder.

1,2,4,7,8,14,16,28,32,56,64,112,128,224,448,896

Greatest Common Factor

We found the factors 71,896 . The biggest common factor number is the GCF number.
So the greatest common factor 71,896 is 1.

Lets's calculate LCM of 575,363

Given numbers has no common factors except 1. So, there LCM is their product i.e 208725

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/208725

Therefore, the GCF of Fractions 71/575,896/363 is 1/208725

Least Common Multiple of 575,363 with GCF Formula

Least Common Multiple of 575,363 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 575,363 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(575,363) = 1

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

GCF(575,363) x common factors =1 x 1 = 1

LCM(575,363) = ( 575 × 363 ) / 1

LCM(575,363) = 208725 / 1

LCM(575,363) = 208725


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 71/575, 896/363

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 71/575, 896/363?

Answer: GCF of Numerators as per given numbers 71/575, 896/363 is

GCF of Numerators i.e. for 71,896 is 1

LCM of denominators i.e. for 575,363 is 208725.

Thus, GCF of Fractions is 1/208725.Finally, GCF of Fractions for 71/575, 896/363 is 1/208725.