Greatest Common Factor of 818/725, 369/293, 624/879

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 818/725, 369/293, 624/879

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 818/725,369/293,624/879

Given fractions are 818/725,369/293,624/879

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 818,369,624

Greatest Common Factor of Numerators i.e. GCF of 818,369,624 is 1 .

LCM of Denominators means LCM of 725,293,879 as per the given fractions.

LCM of 725,293,879 is 637275 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 818,369,624

GCF of Fractions 818/725,369/293,624/879 is 1/637275

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

Greatest Common Factor of 818,369,624 By Matching Biggest Common Factor Method

Greatest Common Factor of 818,369,624 By Matching Biggest Common Factor Method

Factors of 818

List of positive integer factors of 818 that divides 818 without a remainder.

1,2,409,818

Factors of 369

List of positive integer factors of 369 that divides 369 without a remainder.

1,3,9,41,123,369

Factors of 624

List of positive integer factors of 624 that divides 624 without a remainder.

1,2,3,4,6,8,12,13,16,24,26,39,48,52,78,104,156,208,312,624

Greatest Common Factor

We found the factors 818,369,624 . The biggest common factor number is the GCF number.
So the greatest common factor 818,369,624 is 1.

Lets's calculate LCM of 725,293,879

293 725, 293, 879
725, 1, 3

∴ So the LCM of the given numbers is 293 x 725 x 1 x 3 = 637275

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/637275

Therefore, the GCF of Fractions 818/725,369/293,624/879 is 1/637275

Least Common Multiple of 725,293,879 with GCF Formula

Least Common Multiple of 725,293,879 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 725,293,879 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(725,293,879) = 1

common factors(in case of two or more numbers have common factors) = 293

GCF(725,293,879) x common factors =1 x 293 = 293

LCM(725,293,879) = ( 725 × 293 × 879 ) / 293

LCM(725,293,879) = 186721575 / 293

LCM(725,293,879) = 637275


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 818/725, 369/293, 624/879

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 818/725, 369/293, 624/879?

Answer: GCF of Numerators as per given numbers 818/725, 369/293, 624/879 is

GCF of Numerators i.e. for 818,369,624 is 1

LCM of denominators i.e. for 725,293,879 is 637275.

Thus, GCF of Fractions is 1/637275.Finally, GCF of Fractions for 818/725, 369/293, 624/879 is 1/637275.