Greatest Common Factor of 876/987, 781/381, 945/160

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 876/987, 781/381, 945/160

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 876/987,781/381,945/160

Given fractions are 876/987,781/381,945/160

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 876,781,945

Greatest Common Factor of Numerators i.e. GCF of 876,781,945 is 1 .

LCM of Denominators means LCM of 987,381,160 as per the given fractions.

LCM of 987,381,160 is 20055840 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 876,781,945

GCF of Fractions 876/987,781/381,945/160 is 1/20055840

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

Greatest Common Factor of 876,781,945 By Matching Biggest Common Factor Method

Greatest Common Factor of 876,781,945 By Matching Biggest Common Factor Method

Factors of 876

List of positive integer factors of 876 that divides 876 without a remainder.

1,2,3,4,6,12,73,146,219,292,438,876

Factors of 781

List of positive integer factors of 781 that divides 781 without a remainder.

1,11,71,781

Factors of 945

List of positive integer factors of 945 that divides 945 without a remainder.

1,3,5,7,9,15,21,27,35,45,63,105,135,189,315,945

Greatest Common Factor

We found the factors 876,781,945 . The biggest common factor number is the GCF number.
So the greatest common factor 876,781,945 is 1.

Lets's calculate LCM of 987,381,160

3 987, 381, 160
329, 127, 160

∴ So the LCM of the given numbers is 3 x 329 x 127 x 160 = 20055840

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/20055840

Therefore, the GCF of Fractions 876/987,781/381,945/160 is 1/20055840

Least Common Multiple of 987,381,160 with GCF Formula

Least Common Multiple of 987,381,160 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 987,381,160 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(987,381,160) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(987,381,160) x common factors =1 x 3 = 3

LCM(987,381,160) = ( 987 × 381 × 160 ) / 3

LCM(987,381,160) = 60167520 / 3

LCM(987,381,160) = 20055840


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 876/987, 781/381, 945/160

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 876/987, 781/381, 945/160?

Answer: GCF of Numerators as per given numbers 876/987, 781/381, 945/160 is

GCF of Numerators i.e. for 876,781,945 is 1

LCM of denominators i.e. for 987,381,160 is 20055840.

Thus, GCF of Fractions is 1/20055840.Finally, GCF of Fractions for 876/987, 781/381, 945/160 is 1/20055840.