Greatest Common Factor of 26/49, 25/87, 334/231

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 26/49, 25/87, 334/231

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 26/49,25/87,334/231

Given fractions are 26/49,25/87,334/231

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 26,25,334

Greatest Common Factor of Numerators i.e. GCF of 26,25,334 is 1 .

LCM of Denominators means LCM of 49,87,231 as per the given fractions.

LCM of 49,87,231 is 46893 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 26,25,334

GCF of Fractions 26/49,25/87,334/231 is 1/46893

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

Greatest Common Factor of 26,25,334 By Matching Biggest Common Factor Method

Greatest Common Factor of 26,25,334 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 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

Factors of 334

List of positive integer factors of 334 that divides 334 without a remainder.

1,2,167,334

Greatest Common Factor

We found the factors 26,25,334 . The biggest common factor number is the GCF number.
So the greatest common factor 26,25,334 is 1.

Lets's calculate LCM of 49,87,231

3 49, 87, 231
7 49, 29, 77
7, 29, 11

∴ So the LCM of the given numbers is 3 x 7 x 7 x 29 x 11 = 46893

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/46893

Therefore, the GCF of Fractions 26/49,25/87,334/231 is 1/46893

Least Common Multiple of 49,87,231 with GCF Formula

Least Common Multiple of 49,87,231 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 49,87,231 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,87,231) = 1

common factors(in case of two or more numbers have common factors) = 21

GCF(49,87,231) x common factors =1 x 21 = 21

LCM(49,87,231) = ( 49 × 87 × 231 ) / 21

LCM(49,87,231) = 984753 / 21

LCM(49,87,231) = 46893


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 26/49, 25/87, 334/231

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 26/49, 25/87, 334/231?

Answer: GCF of Numerators as per given numbers 26/49, 25/87, 334/231 is

GCF of Numerators i.e. for 26,25,334 is 1

LCM of denominators i.e. for 49,87,231 is 46893.

Thus, GCF of Fractions is 1/46893.Finally, GCF of Fractions for 26/49, 25/87, 334/231 is 1/46893.