Greatest Common Factor of 6307/481, 9226/8904

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6307/481, 9226/8904

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 6307/481,9226/8904

Given fractions are 6307/481,9226/8904

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 6307,9226

Greatest Common Factor of Numerators i.e. GCF of 6307,9226 is 7 .

LCM of Denominators means LCM of 481,8904 as per the given fractions.

LCM of 481,8904 is 4282824 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6307,9226

GCF of Fractions 6307/481,9226/8904 is 7/4282824

7 6307, 9226
901, 1318

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 6307,9226 By Matching Biggest Common Factor Method

Greatest Common Factor of 6307,9226 By Matching Biggest Common Factor Method

Factors of 6307

List of positive integer factors of 6307 that divides 6307 without a remainder.

1,7,17,53,119,371,901,6307

Factors of 9226

List of positive integer factors of 9226 that divides 9226 without a remainder.

1,2,7,14,659,1318,4613,9226

Greatest Common Factor

We found the factors 6307,9226 . The biggest common factor number is the GCF number.
So the greatest common factor 6307,9226 is 7.

Lets's calculate LCM of 481,8904

Given numbers has no common factors except 1. So, there LCM is their product i.e 4282824

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/4282824

Therefore, the GCF of Fractions 6307/481,9226/8904 is 7/4282824

Least Common Multiple of 481,8904 with GCF Formula

Least Common Multiple of 481,8904 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 481,8904 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(481,8904) = 1

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

GCF(481,8904) x common factors =1 x 1 = 1

LCM(481,8904) = ( 481 × 8904 ) / 1

LCM(481,8904) = 4282824 / 1

LCM(481,8904) = 4282824


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 6307/481, 9226/8904

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 6307/481, 9226/8904?

Answer: GCF of Numerators as per given numbers 6307/481, 9226/8904 is

GCF of Numerators i.e. for 6307,9226 is 7

LCM of denominators i.e. for 481,8904 is 4282824.

Thus, GCF of Fractions is 7/4282824.Finally, GCF of Fractions for 6307/481, 9226/8904 is 7/4282824.