Greatest Common Factor of 26/269, 912/385, 262/866

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 26/269, 912/385, 262/866

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 26/269,912/385,262/866

Given fractions are 26/269,912/385,262/866

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 26,912,262

Greatest Common Factor of Numerators i.e. GCF of 26,912,262 is 2 .

LCM of Denominators means LCM of 269,385,866 as per the given fractions.

LCM of 269,385,866 is 89687290 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 26,912,262

GCF of Fractions 26/269,912/385,262/866 is 2/89687290

2 26, 912, 262
13, 456, 131

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 26,912,262 By Matching Biggest Common Factor Method

Greatest Common Factor of 26,912,262 By Matching Biggest Common Factor Method

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 912

List of positive integer factors of 912 that divides 912 without a remainder.

1,2,3,4,6,8,12,16,19,24,38,48,57,76,114,152,228,304,456,912

Factors of 262

List of positive integer factors of 262 that divides 262 without a remainder.

1,2,131,262

Greatest Common Factor

We found the factors 26,912,262 . The biggest common factor number is the GCF number.
So the greatest common factor 26,912,262 is 2.

Lets's calculate LCM of 269,385,866

Given numbers has no common factors except 1. So, there LCM is their product i.e 89687290

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/89687290

Therefore, the GCF of Fractions 26/269,912/385,262/866 is 2/89687290

Least Common Multiple of 269,385,866 with GCF Formula

Least Common Multiple of 269,385,866 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 269,385,866 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(269,385,866) = 1

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

GCF(269,385,866) x common factors =1 x 1 = 1

LCM(269,385,866) = ( 269 × 385 × 866 ) / 1

LCM(269,385,866) = 89687290 / 1

LCM(269,385,866) = 89687290


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 26/269, 912/385, 262/866

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 26/269, 912/385, 262/866?

Answer: GCF of Numerators as per given numbers 26/269, 912/385, 262/866 is

GCF of Numerators i.e. for 26,912,262 is 2

LCM of denominators i.e. for 269,385,866 is 89687290.

Thus, GCF of Fractions is 2/89687290.Finally, GCF of Fractions for 26/269, 912/385, 262/866 is 2/89687290.