Greatest Common Factor of 918/577, 4326/8261

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 918/577, 4326/8261

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 918/577,4326/8261

Given fractions are 918/577,4326/8261

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 918,4326

Greatest Common Factor of Numerators i.e. GCF of 918,4326 is 6 .

LCM of Denominators means LCM of 577,8261 as per the given fractions.

LCM of 577,8261 is 4766597 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 918,4326

GCF of Fractions 918/577,4326/8261 is 6/4766597

2 918, 4326
3 459, 2163
153, 721

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 918,4326 By Matching Biggest Common Factor Method

Greatest Common Factor of 918,4326 By Matching Biggest Common Factor Method

Factors of 918

List of positive integer factors of 918 that divides 918 without a remainder.

1,2,3,6,9,17,18,27,34,51,54,102,153,306,459,918

Factors of 4326

List of positive integer factors of 4326 that divides 4326 without a remainder.

1,2,3,6,7,14,21,42,103,206,309,618,721,1442,2163,4326

Greatest Common Factor

We found the factors 918,4326 . The biggest common factor number is the GCF number.
So the greatest common factor 918,4326 is 6.

Lets's calculate LCM of 577,8261

Given numbers has no common factors except 1. So, there LCM is their product i.e 4766597

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/4766597

Therefore, the GCF of Fractions 918/577,4326/8261 is 6/4766597

Least Common Multiple of 577,8261 with GCF Formula

Least Common Multiple of 577,8261 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 577,8261 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(577,8261) = 1

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

GCF(577,8261) x common factors =1 x 1 = 1

LCM(577,8261) = ( 577 × 8261 ) / 1

LCM(577,8261) = 4766597 / 1

LCM(577,8261) = 4766597


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 918/577, 4326/8261

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 918/577, 4326/8261?

Answer: GCF of Numerators as per given numbers 918/577, 4326/8261 is

GCF of Numerators i.e. for 918,4326 is 6

LCM of denominators i.e. for 577,8261 is 4766597.

Thus, GCF of Fractions is 6/4766597.Finally, GCF of Fractions for 918/577, 4326/8261 is 6/4766597.