Greatest Common Factor of 827/6643, 893/9319

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 827/6643, 893/9319

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 827/6643,893/9319

Given fractions are 827/6643,893/9319

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 827,893

Greatest Common Factor of Numerators i.e. GCF of 827,893 is 1 .

LCM of Denominators means LCM of 6643,9319 as per the given fractions.

LCM of 6643,9319 is 61906117 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 827,893

GCF of Fractions 827/6643,893/9319 is 1/61906117

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

Greatest Common Factor of 827,893 By Matching Biggest Common Factor Method

Greatest Common Factor of 827,893 By Matching Biggest Common Factor Method

Factors of 827

List of positive integer factors of 827 that divides 827 without a remainder.

1,827

Factors of 893

List of positive integer factors of 893 that divides 893 without a remainder.

1,19,47,893

Greatest Common Factor

We found the factors 827,893 . The biggest common factor number is the GCF number.
So the greatest common factor 827,893 is 1.

Lets's calculate LCM of 6643,9319

Given numbers has no common factors except 1. So, there LCM is their product i.e 61906117

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/61906117

Therefore, the GCF of Fractions 827/6643,893/9319 is 1/61906117

Least Common Multiple of 6643,9319 with GCF Formula

Least Common Multiple of 6643,9319 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 6643,9319 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6643,9319) = 1

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

GCF(6643,9319) x common factors =1 x 1 = 1

LCM(6643,9319) = ( 6643 × 9319 ) / 1

LCM(6643,9319) = 61906117 / 1

LCM(6643,9319) = 61906117


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 827/6643, 893/9319

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 827/6643, 893/9319?

Answer: GCF of Numerators as per given numbers 827/6643, 893/9319 is

GCF of Numerators i.e. for 827,893 is 1

LCM of denominators i.e. for 6643,9319 is 61906117.

Thus, GCF of Fractions is 1/61906117.Finally, GCF of Fractions for 827/6643, 893/9319 is 1/61906117.