Greatest Common Factor of 725/834, 847/876, 764/371

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 725/834, 847/876, 764/371

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 725/834,847/876,764/371

Given fractions are 725/834,847/876,764/371

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 725,847,764

Greatest Common Factor of Numerators i.e. GCF of 725,847,764 is 1 .

LCM of Denominators means LCM of 834,876,371 as per the given fractions.

LCM of 834,876,371 is 45174444 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 725,847,764

GCF of Fractions 725/834,847/876,764/371 is 1/45174444

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

Greatest Common Factor of 725,847,764 By Matching Biggest Common Factor Method

Greatest Common Factor of 725,847,764 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 847

List of positive integer factors of 847 that divides 847 without a remainder.

1,7,11,77,121,847

Factors of 764

List of positive integer factors of 764 that divides 764 without a remainder.

1,2,4,191,382,764

Greatest Common Factor

We found the factors 725,847,764 . The biggest common factor number is the GCF number.
So the greatest common factor 725,847,764 is 1.

Lets's calculate LCM of 834,876,371

2 834, 876, 371
3 417, 438, 371
139, 146, 371

∴ So the LCM of the given numbers is 2 x 3 x 139 x 146 x 371 = 45174444

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/45174444

Therefore, the GCF of Fractions 725/834,847/876,764/371 is 1/45174444

Least Common Multiple of 834,876,371 with GCF Formula

Least Common Multiple of 834,876,371 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 834,876,371 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(834,876,371) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(834,876,371) x common factors =1 x 6 = 6

LCM(834,876,371) = ( 834 × 876 × 371 ) / 6

LCM(834,876,371) = 271046664 / 6

LCM(834,876,371) = 45174444


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 725/834, 847/876, 764/371

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 725/834, 847/876, 764/371?

Answer: GCF of Numerators as per given numbers 725/834, 847/876, 764/371 is

GCF of Numerators i.e. for 725,847,764 is 1

LCM of denominators i.e. for 834,876,371 is 45174444.

Thus, GCF of Fractions is 1/45174444.Finally, GCF of Fractions for 725/834, 847/876, 764/371 is 1/45174444.