Greatest Common Factor of 254/97, 523/75, 287/144

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 254/97, 523/75, 287/144

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 254/97,523/75,287/144

Given fractions are 254/97,523/75,287/144

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 254,523,287

Greatest Common Factor of Numerators i.e. GCF of 254,523,287 is 1 .

LCM of Denominators means LCM of 97,75,144 as per the given fractions.

LCM of 97,75,144 is 349200 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 254,523,287

GCF of Fractions 254/97,523/75,287/144 is 1/349200

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

Greatest Common Factor of 254,523,287 By Matching Biggest Common Factor Method

Greatest Common Factor of 254,523,287 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 523

List of positive integer factors of 523 that divides 523 without a remainder.

1,523

Factors of 287

List of positive integer factors of 287 that divides 287 without a remainder.

1,7,41,287

Greatest Common Factor

We found the factors 254,523,287 . The biggest common factor number is the GCF number.
So the greatest common factor 254,523,287 is 1.

Lets's calculate LCM of 97,75,144

3 97, 75, 144
97, 25, 48

∴ So the LCM of the given numbers is 3 x 97 x 25 x 48 = 349200

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/349200

Therefore, the GCF of Fractions 254/97,523/75,287/144 is 1/349200

Least Common Multiple of 97,75,144 with GCF Formula

Least Common Multiple of 97,75,144 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 97,75,144 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(97,75,144) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(97,75,144) x common factors =1 x 3 = 3

LCM(97,75,144) = ( 97 × 75 × 144 ) / 3

LCM(97,75,144) = 1047600 / 3

LCM(97,75,144) = 349200


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 254/97, 523/75, 287/144

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 254/97, 523/75, 287/144?

Answer: GCF of Numerators as per given numbers 254/97, 523/75, 287/144 is

GCF of Numerators i.e. for 254,523,287 is 1

LCM of denominators i.e. for 97,75,144 is 349200.

Thus, GCF of Fractions is 1/349200.Finally, GCF of Fractions for 254/97, 523/75, 287/144 is 1/349200.