Greatest Common Factor of 254/26, 9472/671

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 254/26, 9472/671

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 254/26,9472/671

Given fractions are 254/26,9472/671

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 254,9472

Greatest Common Factor of Numerators i.e. GCF of 254,9472 is 2 .

LCM of Denominators means LCM of 26,671 as per the given fractions.

LCM of 26,671 is 17446 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 254,9472

GCF of Fractions 254/26,9472/671 is 2/17446

2 254, 9472
127, 4736

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

Greatest Common Factor of 254,9472 By Matching Biggest Common Factor Method

Greatest Common Factor of 254,9472 By Matching Biggest Common Factor Method

Factors of 254

List of positive integer factors of 254 that divides 254 without a remainder.

1,2,127,254

Factors of 9472

List of positive integer factors of 9472 that divides 9472 without a remainder.

1,2,4,8,16,32,37,64,74,128,148,256,296,592,1184,2368,4736,9472

Greatest Common Factor

We found the factors 254,9472 . The biggest common factor number is the GCF number.
So the greatest common factor 254,9472 is 2.

Lets's calculate LCM of 26,671

Given numbers has no common factors except 1. So, there LCM is their product i.e 17446

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/17446

Therefore, the GCF of Fractions 254/26,9472/671 is 2/17446

Least Common Multiple of 26,671 with GCF Formula

Least Common Multiple of 26,671 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 26,671 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,671) = 1

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

GCF(26,671) x common factors =1 x 1 = 1

LCM(26,671) = ( 26 × 671 ) / 1

LCM(26,671) = 17446 / 1

LCM(26,671) = 17446


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 254/26, 9472/671

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 254/26, 9472/671?

Answer: GCF of Numerators as per given numbers 254/26, 9472/671 is

GCF of Numerators i.e. for 254,9472 is 2

LCM of denominators i.e. for 26,671 is 17446.

Thus, GCF of Fractions is 2/17446.Finally, GCF of Fractions for 254/26, 9472/671 is 2/17446.