Greatest Common Factor of 7775/567, 5434/4359

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7775/567, 5434/4359

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 7775/567,5434/4359

Given fractions are 7775/567,5434/4359

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 7775,5434

Greatest Common Factor of Numerators i.e. GCF of 7775,5434 is 1 .

LCM of Denominators means LCM of 567,4359 as per the given fractions.

LCM of 567,4359 is 823851 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7775,5434

GCF of Fractions 7775/567,5434/4359 is 1/823851

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

Greatest Common Factor of 7775,5434 By Matching Biggest Common Factor Method

Greatest Common Factor of 7775,5434 By Matching Biggest Common Factor Method

Factors of 7775

List of positive integer factors of 7775 that divides 7775 without a remainder.

1,5,25,311,1555,7775

Factors of 5434

List of positive integer factors of 5434 that divides 5434 without a remainder.

1,2,11,13,19,22,26,38,143,209,247,286,418,494,2717,5434

Greatest Common Factor

We found the factors 7775,5434 . The biggest common factor number is the GCF number.
So the greatest common factor 7775,5434 is 1.

Lets's calculate LCM of 567,4359

3 567, 4359
189, 1453

∴ So the LCM of the given numbers is 3 x 189 x 1453 = 823851

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/823851

Therefore, the GCF of Fractions 7775/567,5434/4359 is 1/823851

Least Common Multiple of 567,4359 with GCF Formula

Least Common Multiple of 567,4359 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 567,4359 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(567,4359) = 3

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

GCF(567,4359) x common factors =3 x 1 = 3

LCM(567,4359) = ( 567 × 4359 ) / 3

LCM(567,4359) = 2471553 / 3

LCM(567,4359) = 823851


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 7775/567, 5434/4359

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 7775/567, 5434/4359?

Answer: GCF of Numerators as per given numbers 7775/567, 5434/4359 is

GCF of Numerators i.e. for 7775,5434 is 1

LCM of denominators i.e. for 567,4359 is 823851.

Thus, GCF of Fractions is 1/823851.Finally, GCF of Fractions for 7775/567, 5434/4359 is 1/823851.