Greatest Common Factor of 6670/82, 5267/224

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6670/82, 5267/224

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 6670/82,5267/224

Given fractions are 6670/82,5267/224

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 6670,5267

Greatest Common Factor of Numerators i.e. GCF of 6670,5267 is 23 .

LCM of Denominators means LCM of 82,224 as per the given fractions.

LCM of 82,224 is 9184 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6670,5267

GCF of Fractions 6670/82,5267/224 is 23/9184

23 6670, 5267
290, 229

∴ So the GCF of the given numbers is 23 = 23

Greatest Common Factor of 6670,5267 By Matching Biggest Common Factor Method

Greatest Common Factor of 6670,5267 By Matching Biggest Common Factor Method

Factors of 6670

List of positive integer factors of 6670 that divides 6670 without a remainder.

1,2,5,10,23,29,46,58,115,145,230,290,667,1334,3335,6670

Factors of 5267

List of positive integer factors of 5267 that divides 5267 without a remainder.

1,23,229,5267

Greatest Common Factor

We found the factors 6670,5267 . The biggest common factor number is the GCF number.
So the greatest common factor 6670,5267 is 23.

Lets's calculate LCM of 82,224

2 82, 224
41, 112

∴ So the LCM of the given numbers is 2 x 41 x 112 = 9184

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/9184

Therefore, the GCF of Fractions 6670/82,5267/224 is 23/9184

Least Common Multiple of 82,224 with GCF Formula

Least Common Multiple of 82,224 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 82,224 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,224) = 2

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

GCF(82,224) x common factors =2 x 1 = 2

LCM(82,224) = ( 82 × 224 ) / 2

LCM(82,224) = 18368 / 2

LCM(82,224) = 9184


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 6670/82, 5267/224

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 6670/82, 5267/224?

Answer: GCF of Numerators as per given numbers 6670/82, 5267/224 is

GCF of Numerators i.e. for 6670,5267 is 23

LCM of denominators i.e. for 82,224 is 9184.

Thus, GCF of Fractions is 23/9184.Finally, GCF of Fractions for 6670/82, 5267/224 is 23/9184.