Greatest Common Factor of 6622/652, 2720/826

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6622/652, 2720/826

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 6622/652,2720/826

Given fractions are 6622/652,2720/826

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 6622,2720

Greatest Common Factor of Numerators i.e. GCF of 6622,2720 is 2 .

LCM of Denominators means LCM of 652,826 as per the given fractions.

LCM of 652,826 is 269276 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6622,2720

GCF of Fractions 6622/652,2720/826 is 2/269276

2 6622, 2720
3311, 1360

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 6622,2720 By Matching Biggest Common Factor Method

Greatest Common Factor of 6622,2720 By Matching Biggest Common Factor Method

Factors of 6622

List of positive integer factors of 6622 that divides 6622 without a remainder.

1,2,7,11,14,22,43,77,86,154,301,473,602,946,3311,6622

Factors of 2720

List of positive integer factors of 2720 that divides 2720 without a remainder.

1,2,4,5,8,10,16,17,20,32,34,40,68,80,85,136,160,170,272,340,544,680,1360,2720

Greatest Common Factor

We found the factors 6622,2720 . The biggest common factor number is the GCF number.
So the greatest common factor 6622,2720 is 2.

Lets's calculate LCM of 652,826

2 652, 826
326, 413

∴ So the LCM of the given numbers is 2 x 326 x 413 = 269276

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/269276

Therefore, the GCF of Fractions 6622/652,2720/826 is 2/269276

Least Common Multiple of 652,826 with GCF Formula

Least Common Multiple of 652,826 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 652,826 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(652,826) = 2

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

GCF(652,826) x common factors =2 x 1 = 2

LCM(652,826) = ( 652 × 826 ) / 2

LCM(652,826) = 538552 / 2

LCM(652,826) = 269276


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 6622/652, 2720/826

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 6622/652, 2720/826?

Answer: GCF of Numerators as per given numbers 6622/652, 2720/826 is

GCF of Numerators i.e. for 6622,2720 is 2

LCM of denominators i.e. for 652,826 is 269276.

Thus, GCF of Fractions is 2/269276.Finally, GCF of Fractions for 6622/652, 2720/826 is 2/269276.