Greatest Common Factor of 850/676, 945/800, 859/593

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 850/676, 945/800, 859/593

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 850/676,945/800,859/593

Given fractions are 850/676,945/800,859/593

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 850,945,859

Greatest Common Factor of Numerators i.e. GCF of 850,945,859 is 1 .

LCM of Denominators means LCM of 676,800,593 as per the given fractions.

LCM of 676,800,593 is 80173600 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 850,945,859

GCF of Fractions 850/676,945/800,859/593 is 1/80173600

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

Greatest Common Factor of 850,945,859 By Matching Biggest Common Factor Method

Greatest Common Factor of 850,945,859 By Matching Biggest Common Factor Method

Factors of 850

List of positive integer factors of 850 that divides 850 without a remainder.

1,2,5,10,17,25,34,50,85,170,425,850

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

Factors of 859

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

1,859

Greatest Common Factor

We found the factors 850,945,859 . The biggest common factor number is the GCF number.
So the greatest common factor 850,945,859 is 1.

Lets's calculate LCM of 676,800,593

2 676, 800, 593
2 338, 400, 593
169, 200, 593

∴ So the LCM of the given numbers is 2 x 2 x 169 x 200 x 593 = 80173600

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/80173600

Therefore, the GCF of Fractions 850/676,945/800,859/593 is 1/80173600

Least Common Multiple of 676,800,593 with GCF Formula

Least Common Multiple of 676,800,593 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 676,800,593 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(676,800,593) = 1

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

GCF(676,800,593) x common factors =1 x 4 = 4

LCM(676,800,593) = ( 676 × 800 × 593 ) / 4

LCM(676,800,593) = 320694400 / 4

LCM(676,800,593) = 80173600


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 850/676, 945/800, 859/593

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 850/676, 945/800, 859/593?

Answer: GCF of Numerators as per given numbers 850/676, 945/800, 859/593 is

GCF of Numerators i.e. for 850,945,859 is 1

LCM of denominators i.e. for 676,800,593 is 80173600.

Thus, GCF of Fractions is 1/80173600.Finally, GCF of Fractions for 850/676, 945/800, 859/593 is 1/80173600.