Greatest Common Factor of 859/741, 775/818, 814/878

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 859/741, 775/818, 814/878

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 859/741,775/818,814/878

Given fractions are 859/741,775/818,814/878

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 859,775,814

Greatest Common Factor of Numerators i.e. GCF of 859,775,814 is 1 .

LCM of Denominators means LCM of 741,818,878 as per the given fractions.

LCM of 741,818,878 is 266094582 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 859,775,814

GCF of Fractions 859/741,775/818,814/878 is 1/266094582

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

Greatest Common Factor of 859,775,814 By Matching Biggest Common Factor Method

Greatest Common Factor of 859,775,814 By Matching Biggest Common Factor Method

Factors of 859

List of positive integer factors of 859 that divides 859 without a remainder.

1,859

Factors of 775

List of positive integer factors of 775 that divides 775 without a remainder.

1,5,25,31,155,775

Factors of 814

List of positive integer factors of 814 that divides 814 without a remainder.

1,2,11,22,37,74,407,814

Greatest Common Factor

We found the factors 859,775,814 . The biggest common factor number is the GCF number.
So the greatest common factor 859,775,814 is 1.

Lets's calculate LCM of 741,818,878

2 741, 818, 878
741, 409, 439

∴ So the LCM of the given numbers is 2 x 741 x 409 x 439 = 266094582

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/266094582

Therefore, the GCF of Fractions 859/741,775/818,814/878 is 1/266094582

Least Common Multiple of 741,818,878 with GCF Formula

Least Common Multiple of 741,818,878 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 741,818,878 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(741,818,878) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(741,818,878) x common factors =1 x 2 = 2

LCM(741,818,878) = ( 741 × 818 × 878 ) / 2

LCM(741,818,878) = 532189164 / 2

LCM(741,818,878) = 266094582


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 859/741, 775/818, 814/878

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 859/741, 775/818, 814/878?

Answer: GCF of Numerators as per given numbers 859/741, 775/818, 814/878 is

GCF of Numerators i.e. for 859,775,814 is 1

LCM of denominators i.e. for 741,818,878 is 266094582.

Thus, GCF of Fractions is 1/266094582.Finally, GCF of Fractions for 859/741, 775/818, 814/878 is 1/266094582.