Greatest Common Factor of 725/780, 292/881, 860/844

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 725/780, 292/881, 860/844

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 725/780,292/881,860/844

Given fractions are 725/780,292/881,860/844

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 725,292,860

Greatest Common Factor of Numerators i.e. GCF of 725,292,860 is 1 .

LCM of Denominators means LCM of 780,881,844 as per the given fractions.

LCM of 780,881,844 is 144994980 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 725,292,860

GCF of Fractions 725/780,292/881,860/844 is 1/144994980

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

Greatest Common Factor of 725,292,860 By Matching Biggest Common Factor Method

Greatest Common Factor of 725,292,860 By Matching Biggest Common Factor Method

Factors of 725

List of positive integer factors of 725 that divides 725 without a remainder.

1,5,25,29,145,725

Factors of 292

List of positive integer factors of 292 that divides 292 without a remainder.

1,2,4,73,146,292

Factors of 860

List of positive integer factors of 860 that divides 860 without a remainder.

1,2,4,5,10,20,43,86,172,215,430,860

Greatest Common Factor

We found the factors 725,292,860 . The biggest common factor number is the GCF number.
So the greatest common factor 725,292,860 is 1.

Lets's calculate LCM of 780,881,844

2 780, 881, 844
2 390, 881, 422
195, 881, 211

∴ So the LCM of the given numbers is 2 x 2 x 195 x 881 x 211 = 144994980

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/144994980

Therefore, the GCF of Fractions 725/780,292/881,860/844 is 1/144994980

Least Common Multiple of 780,881,844 with GCF Formula

Least Common Multiple of 780,881,844 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 780,881,844 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(780,881,844) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(780,881,844) x common factors =1 x 4 = 4

LCM(780,881,844) = ( 780 × 881 × 844 ) / 4

LCM(780,881,844) = 579979920 / 4

LCM(780,881,844) = 144994980


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 725/780, 292/881, 860/844

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 725/780, 292/881, 860/844?

Answer: GCF of Numerators as per given numbers 725/780, 292/881, 860/844 is

GCF of Numerators i.e. for 725,292,860 is 1

LCM of denominators i.e. for 780,881,844 is 144994980.

Thus, GCF of Fractions is 1/144994980.Finally, GCF of Fractions for 725/780, 292/881, 860/844 is 1/144994980.