Greatest Common Factor of 846/817, 6726/851

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 846/817, 6726/851

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 846/817,6726/851

Given fractions are 846/817,6726/851

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 846,6726

Greatest Common Factor of Numerators i.e. GCF of 846,6726 is 6 .

LCM of Denominators means LCM of 817,851 as per the given fractions.

LCM of 817,851 is 695267 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 846,6726

GCF of Fractions 846/817,6726/851 is 6/695267

2 846, 6726
3 423, 3363
141, 1121

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 846,6726 By Matching Biggest Common Factor Method

Greatest Common Factor of 846,6726 By Matching Biggest Common Factor Method

Factors of 846

List of positive integer factors of 846 that divides 846 without a remainder.

1,2,3,6,9,18,47,94,141,282,423,846

Factors of 6726

List of positive integer factors of 6726 that divides 6726 without a remainder.

1,2,3,6,19,38,57,59,114,118,177,354,1121,2242,3363,6726

Greatest Common Factor

We found the factors 846,6726 . The biggest common factor number is the GCF number.
So the greatest common factor 846,6726 is 6.

Lets's calculate LCM of 817,851

Given numbers has no common factors except 1. So, there LCM is their product i.e 695267

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/695267

Therefore, the GCF of Fractions 846/817,6726/851 is 6/695267

Least Common Multiple of 817,851 with GCF Formula

Least Common Multiple of 817,851 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 817,851 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(817,851) = 1

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

GCF(817,851) x common factors =1 x 1 = 1

LCM(817,851) = ( 817 × 851 ) / 1

LCM(817,851) = 695267 / 1

LCM(817,851) = 695267


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 846/817, 6726/851

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 846/817, 6726/851?

Answer: GCF of Numerators as per given numbers 846/817, 6726/851 is

GCF of Numerators i.e. for 846,6726 is 6

LCM of denominators i.e. for 817,851 is 695267.

Thus, GCF of Fractions is 6/695267.Finally, GCF of Fractions for 846/817, 6726/851 is 6/695267.