Greatest Common Factor of 8547/296, 5225/5322

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8547/296, 5225/5322

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 8547/296,5225/5322

Given fractions are 8547/296,5225/5322

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 8547,5225

Greatest Common Factor of Numerators i.e. GCF of 8547,5225 is 11 .

LCM of Denominators means LCM of 296,5322 as per the given fractions.

LCM of 296,5322 is 787656 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8547,5225

GCF of Fractions 8547/296,5225/5322 is 11/787656

11 8547, 5225
777, 475

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 8547,5225 By Matching Biggest Common Factor Method

Greatest Common Factor of 8547,5225 By Matching Biggest Common Factor Method

Factors of 8547

List of positive integer factors of 8547 that divides 8547 without a remainder.

1,3,7,11,21,33,37,77,111,231,259,407,777,1221,2849,8547

Factors of 5225

List of positive integer factors of 5225 that divides 5225 without a remainder.

1,5,11,19,25,55,95,209,275,475,1045,5225

Greatest Common Factor

We found the factors 8547,5225 . The biggest common factor number is the GCF number.
So the greatest common factor 8547,5225 is 11.

Lets's calculate LCM of 296,5322

2 296, 5322
148, 2661

∴ So the LCM of the given numbers is 2 x 148 x 2661 = 787656

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/787656

Therefore, the GCF of Fractions 8547/296,5225/5322 is 11/787656

Least Common Multiple of 296,5322 with GCF Formula

Least Common Multiple of 296,5322 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 296,5322 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(296,5322) = 2

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

GCF(296,5322) x common factors =2 x 1 = 2

LCM(296,5322) = ( 296 × 5322 ) / 2

LCM(296,5322) = 1575312 / 2

LCM(296,5322) = 787656


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 8547/296, 5225/5322

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 8547/296, 5225/5322?

Answer: GCF of Numerators as per given numbers 8547/296, 5225/5322 is

GCF of Numerators i.e. for 8547,5225 is 11

LCM of denominators i.e. for 296,5322 is 787656.

Thus, GCF of Fractions is 11/787656.Finally, GCF of Fractions for 8547/296, 5225/5322 is 11/787656.