Greatest Common Factor of 4264/23, 5291/207

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4264/23, 5291/207

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 4264/23,5291/207

Given fractions are 4264/23,5291/207

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 4264,5291

Greatest Common Factor of Numerators i.e. GCF of 4264,5291 is 13 .

LCM of Denominators means LCM of 23,207 as per the given fractions.

LCM of 23,207 is 207 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4264,5291

GCF of Fractions 4264/23,5291/207 is 13/207

13 4264, 5291
328, 407

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 4264,5291 By Matching Biggest Common Factor Method

Greatest Common Factor of 4264,5291 By Matching Biggest Common Factor Method

Factors of 4264

List of positive integer factors of 4264 that divides 4264 without a remainder.

1,2,4,8,13,26,41,52,82,104,164,328,533,1066,2132,4264

Factors of 5291

List of positive integer factors of 5291 that divides 5291 without a remainder.

1,11,13,37,143,407,481,5291

Greatest Common Factor

We found the factors 4264,5291 . The biggest common factor number is the GCF number.
So the greatest common factor 4264,5291 is 13.

Lets's calculate LCM of 23,207

23 23, 207
1, 9

∴ So the LCM of the given numbers is 23 x 1 x 9 = 207

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/207

Therefore, the GCF of Fractions 4264/23,5291/207 is 13/207

Least Common Multiple of 23,207 with GCF Formula

Least Common Multiple of 23,207 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 23,207 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,207) = 23

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

GCF(23,207) x common factors =23 x 1 = 23

LCM(23,207) = ( 23 × 207 ) / 23

LCM(23,207) = 4761 / 23

LCM(23,207) = 207


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 4264/23, 5291/207

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 4264/23, 5291/207?

Answer: GCF of Numerators as per given numbers 4264/23, 5291/207 is

GCF of Numerators i.e. for 4264,5291 is 13

LCM of denominators i.e. for 23,207 is 207.

Thus, GCF of Fractions is 13/207.Finally, GCF of Fractions for 4264/23, 5291/207 is 13/207.