Greatest Common Factor of 268/261, 239/784, 470/924

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 268/261, 239/784, 470/924

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 268/261,239/784,470/924

Given fractions are 268/261,239/784,470/924

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 268,239,470

Greatest Common Factor of Numerators i.e. GCF of 268,239,470 is 1 .

LCM of Denominators means LCM of 261,784,924 as per the given fractions.

LCM of 261,784,924 is 2250864 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 268,239,470

GCF of Fractions 268/261,239/784,470/924 is 1/2250864

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

Greatest Common Factor of 268,239,470 By Matching Biggest Common Factor Method

Greatest Common Factor of 268,239,470 By Matching Biggest Common Factor Method

Factors of 268

List of positive integer factors of 268 that divides 268 without a remainder.

1,2,4,67,134,268

Factors of 239

List of positive integer factors of 239 that divides 239 without a remainder.

1,239

Factors of 470

List of positive integer factors of 470 that divides 470 without a remainder.

1,2,5,10,47,94,235,470

Greatest Common Factor

We found the factors 268,239,470 . The biggest common factor number is the GCF number.
So the greatest common factor 268,239,470 is 1.

Lets's calculate LCM of 261,784,924

2 261, 784, 924
2 261, 392, 462
3 261, 196, 231
7 87, 196, 77
87, 28, 11

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 87 x 28 x 11 = 2250864

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2250864

Therefore, the GCF of Fractions 268/261,239/784,470/924 is 1/2250864

Least Common Multiple of 261,784,924 with GCF Formula

Least Common Multiple of 261,784,924 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 261,784,924 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(261,784,924) = 1

common factors(in case of two or more numbers have common factors) = 84

GCF(261,784,924) x common factors =1 x 84 = 84

LCM(261,784,924) = ( 261 × 784 × 924 ) / 84

LCM(261,784,924) = 189072576 / 84

LCM(261,784,924) = 2250864


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 268/261, 239/784, 470/924

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 268/261, 239/784, 470/924?

Answer: GCF of Numerators as per given numbers 268/261, 239/784, 470/924 is

GCF of Numerators i.e. for 268,239,470 is 1

LCM of denominators i.e. for 261,784,924 is 2250864.

Thus, GCF of Fractions is 1/2250864.Finally, GCF of Fractions for 268/261, 239/784, 470/924 is 1/2250864.