Greatest Common Factor of 859/722, 851/819

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 859/722, 851/819

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 859/722,851/819

Given fractions are 859/722,851/819

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 859,851

Greatest Common Factor of Numerators i.e. GCF of 859,851 is 1 .

LCM of Denominators means LCM of 722,819 as per the given fractions.

LCM of 722,819 is 591318 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 859,851

GCF of Fractions 859/722,851/819 is 1/591318

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

Greatest Common Factor of 859,851 By Matching Biggest Common Factor Method

Greatest Common Factor of 859,851 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 851

List of positive integer factors of 851 that divides 851 without a remainder.

1,23,37,851

Greatest Common Factor

We found the factors 859,851 . The biggest common factor number is the GCF number.
So the greatest common factor 859,851 is 1.

Lets's calculate LCM of 722,819

Given numbers has no common factors except 1. So, there LCM is their product i.e 591318

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/591318

Therefore, the GCF of Fractions 859/722,851/819 is 1/591318

Least Common Multiple of 722,819 with GCF Formula

Least Common Multiple of 722,819 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 722,819 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(722,819) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(722,819) x common factors =1 x 1 = 1

LCM(722,819) = ( 722 × 819 ) / 1

LCM(722,819) = 591318 / 1

LCM(722,819) = 591318


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 859/722, 851/819

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 859/722, 851/819?

Answer: GCF of Numerators as per given numbers 859/722, 851/819 is

GCF of Numerators i.e. for 859,851 is 1

LCM of denominators i.e. for 722,819 is 591318.

Thus, GCF of Fractions is 1/591318.Finally, GCF of Fractions for 859/722, 851/819 is 1/591318.