Greatest Common Factor of 254/79, 529/95, 718/104

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 254/79, 529/95, 718/104

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 254/79,529/95,718/104

Given fractions are 254/79,529/95,718/104

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 254,529,718

Greatest Common Factor of Numerators i.e. GCF of 254,529,718 is 1 .

LCM of Denominators means LCM of 79,95,104 as per the given fractions.

LCM of 79,95,104 is 780520 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 254,529,718

GCF of Fractions 254/79,529/95,718/104 is 1/780520

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

Greatest Common Factor of 254,529,718 By Matching Biggest Common Factor Method

Greatest Common Factor of 254,529,718 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 529

List of positive integer factors of 529 that divides 529 without a remainder.

1,23,529

Factors of 718

List of positive integer factors of 718 that divides 718 without a remainder.

1,2,359,718

Greatest Common Factor

We found the factors 254,529,718 . The biggest common factor number is the GCF number.
So the greatest common factor 254,529,718 is 1.

Lets's calculate LCM of 79,95,104

Given numbers has no common factors except 1. So, there LCM is their product i.e 780520

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/780520

Therefore, the GCF of Fractions 254/79,529/95,718/104 is 1/780520

Least Common Multiple of 79,95,104 with GCF Formula

Least Common Multiple of 79,95,104 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 79,95,104 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(79,95,104) = 1

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

GCF(79,95,104) x common factors =1 x 1 = 1

LCM(79,95,104) = ( 79 × 95 × 104 ) / 1

LCM(79,95,104) = 780520 / 1

LCM(79,95,104) = 780520


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 254/79, 529/95, 718/104

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 254/79, 529/95, 718/104?

Answer: GCF of Numerators as per given numbers 254/79, 529/95, 718/104 is

GCF of Numerators i.e. for 254,529,718 is 1

LCM of denominators i.e. for 79,95,104 is 780520.

Thus, GCF of Fractions is 1/780520.Finally, GCF of Fractions for 254/79, 529/95, 718/104 is 1/780520.