Greatest Common Factor of 104/891, 250/209, 714/731

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 104/891, 250/209, 714/731

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 104/891,250/209,714/731

Given fractions are 104/891,250/209,714/731

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 104,250,714

Greatest Common Factor of Numerators i.e. GCF of 104,250,714 is 2 .

LCM of Denominators means LCM of 891,209,731 as per the given fractions.

LCM of 891,209,731 is 12375099 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 104,250,714

GCF of Fractions 104/891,250/209,714/731 is 2/12375099

2 104, 250, 714
52, 125, 357

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

Greatest Common Factor of 104,250,714 By Matching Biggest Common Factor Method

Greatest Common Factor of 104,250,714 By Matching Biggest Common Factor Method

Factors of 104

List of positive integer factors of 104 that divides 104 without a remainder.

1,2,4,8,13,26,52,104

Factors of 250

List of positive integer factors of 250 that divides 250 without a remainder.

1,2,5,10,25,50,125,250

Factors of 714

List of positive integer factors of 714 that divides 714 without a remainder.

1,2,3,6,7,14,17,21,34,42,51,102,119,238,357,714

Greatest Common Factor

We found the factors 104,250,714 . The biggest common factor number is the GCF number.
So the greatest common factor 104,250,714 is 2.

Lets's calculate LCM of 891,209,731

11 891, 209, 731
81, 19, 731

∴ So the LCM of the given numbers is 11 x 81 x 19 x 731 = 12375099

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/12375099

Therefore, the GCF of Fractions 104/891,250/209,714/731 is 2/12375099

Least Common Multiple of 891,209,731 with GCF Formula

Least Common Multiple of 891,209,731 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 891,209,731 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(891,209,731) = 1

common factors(in case of two or more numbers have common factors) = 11

GCF(891,209,731) x common factors =1 x 11 = 11

LCM(891,209,731) = ( 891 × 209 × 731 ) / 11

LCM(891,209,731) = 136126089 / 11

LCM(891,209,731) = 12375099


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 104/891, 250/209, 714/731

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 104/891, 250/209, 714/731?

Answer: GCF of Numerators as per given numbers 104/891, 250/209, 714/731 is

GCF of Numerators i.e. for 104,250,714 is 2

LCM of denominators i.e. for 891,209,731 is 12375099.

Thus, GCF of Fractions is 2/12375099.Finally, GCF of Fractions for 104/891, 250/209, 714/731 is 2/12375099.