Greatest Common Factor of 2821/826, 9667/5178

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2821/826, 9667/5178

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 2821/826,9667/5178

Given fractions are 2821/826,9667/5178

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 2821,9667

Greatest Common Factor of Numerators i.e. GCF of 2821,9667 is 7 .

LCM of Denominators means LCM of 826,5178 as per the given fractions.

LCM of 826,5178 is 2138514 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2821,9667

GCF of Fractions 2821/826,9667/5178 is 7/2138514

7 2821, 9667
403, 1381

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 2821,9667 By Matching Biggest Common Factor Method

Greatest Common Factor of 2821,9667 By Matching Biggest Common Factor Method

Factors of 2821

List of positive integer factors of 2821 that divides 2821 without a remainder.

1,7,13,31,91,217,403,2821

Factors of 9667

List of positive integer factors of 9667 that divides 9667 without a remainder.

1,7,1381,9667

Greatest Common Factor

We found the factors 2821,9667 . The biggest common factor number is the GCF number.
So the greatest common factor 2821,9667 is 7.

Lets's calculate LCM of 826,5178

2 826, 5178
413, 2589

∴ So the LCM of the given numbers is 2 x 413 x 2589 = 2138514

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/2138514

Therefore, the GCF of Fractions 2821/826,9667/5178 is 7/2138514

Least Common Multiple of 826,5178 with GCF Formula

Least Common Multiple of 826,5178 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 826,5178 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(826,5178) = 2

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

GCF(826,5178) x common factors =2 x 1 = 2

LCM(826,5178) = ( 826 × 5178 ) / 2

LCM(826,5178) = 4277028 / 2

LCM(826,5178) = 2138514


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 2821/826, 9667/5178

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 2821/826, 9667/5178?

Answer: GCF of Numerators as per given numbers 2821/826, 9667/5178 is

GCF of Numerators i.e. for 2821,9667 is 7

LCM of denominators i.e. for 826,5178 is 2138514.

Thus, GCF of Fractions is 7/2138514.Finally, GCF of Fractions for 2821/826, 9667/5178 is 7/2138514.