Greatest Common Factor of 893/75, 565/722

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 893/75, 565/722

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 893/75,565/722

Given fractions are 893/75,565/722

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 893,565

Greatest Common Factor of Numerators i.e. GCF of 893,565 is 1 .

LCM of Denominators means LCM of 75,722 as per the given fractions.

LCM of 75,722 is 54150 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 893,565

GCF of Fractions 893/75,565/722 is 1/54150

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

Greatest Common Factor of 893,565 By Matching Biggest Common Factor Method

Greatest Common Factor of 893,565 By Matching Biggest Common Factor Method

Factors of 893

List of positive integer factors of 893 that divides 893 without a remainder.

1,19,47,893

Factors of 565

List of positive integer factors of 565 that divides 565 without a remainder.

1,5,113,565

Greatest Common Factor

We found the factors 893,565 . The biggest common factor number is the GCF number.
So the greatest common factor 893,565 is 1.

Lets's calculate LCM of 75,722

Given numbers has no common factors except 1. So, there LCM is their product i.e 54150

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/54150

Therefore, the GCF of Fractions 893/75,565/722 is 1/54150

Least Common Multiple of 75,722 with GCF Formula

Least Common Multiple of 75,722 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 75,722 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,722) = 1

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

GCF(75,722) x common factors =1 x 1 = 1

LCM(75,722) = ( 75 × 722 ) / 1

LCM(75,722) = 54150 / 1

LCM(75,722) = 54150


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 893/75, 565/722

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 893/75, 565/722?

Answer: GCF of Numerators as per given numbers 893/75, 565/722 is

GCF of Numerators i.e. for 893,565 is 1

LCM of denominators i.e. for 75,722 is 54150.

Thus, GCF of Fractions is 1/54150.Finally, GCF of Fractions for 893/75, 565/722 is 1/54150.