Greatest Common Factor of 8224/909, 7659/5731

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8224/909, 7659/5731

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 8224/909,7659/5731

Given fractions are 8224/909,7659/5731

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 8224,7659

Greatest Common Factor of Numerators i.e. GCF of 8224,7659 is 1 .

LCM of Denominators means LCM of 909,5731 as per the given fractions.

LCM of 909,5731 is 5209479 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8224,7659

GCF of Fractions 8224/909,7659/5731 is 1/5209479

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

Greatest Common Factor of 8224,7659 By Matching Biggest Common Factor Method

Greatest Common Factor of 8224,7659 By Matching Biggest Common Factor Method

Factors of 8224

List of positive integer factors of 8224 that divides 8224 without a remainder.

1,2,4,8,16,32,257,514,1028,2056,4112,8224

Factors of 7659

List of positive integer factors of 7659 that divides 7659 without a remainder.

1,3,9,23,37,69,111,207,333,851,2553,7659

Greatest Common Factor

We found the factors 8224,7659 . The biggest common factor number is the GCF number.
So the greatest common factor 8224,7659 is 1.

Lets's calculate LCM of 909,5731

Given numbers has no common factors except 1. So, there LCM is their product i.e 5209479

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5209479

Therefore, the GCF of Fractions 8224/909,7659/5731 is 1/5209479

Least Common Multiple of 909,5731 with GCF Formula

Least Common Multiple of 909,5731 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 909,5731 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(909,5731) = 1

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

GCF(909,5731) x common factors =1 x 1 = 1

LCM(909,5731) = ( 909 × 5731 ) / 1

LCM(909,5731) = 5209479 / 1

LCM(909,5731) = 5209479


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 8224/909, 7659/5731

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 8224/909, 7659/5731?

Answer: GCF of Numerators as per given numbers 8224/909, 7659/5731 is

GCF of Numerators i.e. for 8224,7659 is 1

LCM of denominators i.e. for 909,5731 is 5209479.

Thus, GCF of Fractions is 1/5209479.Finally, GCF of Fractions for 8224/909, 7659/5731 is 1/5209479.