Greatest Common Factor of 8222/640, 1398/5662

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8222/640, 1398/5662

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 8222/640,1398/5662

Given fractions are 8222/640,1398/5662

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 8222,1398

Greatest Common Factor of Numerators i.e. GCF of 8222,1398 is 2 .

LCM of Denominators means LCM of 640,5662 as per the given fractions.

LCM of 640,5662 is 1811840 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8222,1398

GCF of Fractions 8222/640,1398/5662 is 2/1811840

2 8222, 1398
4111, 699

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

Greatest Common Factor of 8222,1398 By Matching Biggest Common Factor Method

Greatest Common Factor of 8222,1398 By Matching Biggest Common Factor Method

Factors of 8222

List of positive integer factors of 8222 that divides 8222 without a remainder.

1,2,4111,8222

Factors of 1398

List of positive integer factors of 1398 that divides 1398 without a remainder.

1,2,3,6,233,466,699,1398

Greatest Common Factor

We found the factors 8222,1398 . The biggest common factor number is the GCF number.
So the greatest common factor 8222,1398 is 2.

Lets's calculate LCM of 640,5662

2 640, 5662
320, 2831

∴ So the LCM of the given numbers is 2 x 320 x 2831 = 1811840

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1811840

Therefore, the GCF of Fractions 8222/640,1398/5662 is 2/1811840

Least Common Multiple of 640,5662 with GCF Formula

Least Common Multiple of 640,5662 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 640,5662 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(640,5662) = 2

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

GCF(640,5662) x common factors =2 x 1 = 2

LCM(640,5662) = ( 640 × 5662 ) / 2

LCM(640,5662) = 3623680 / 2

LCM(640,5662) = 1811840


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 8222/640, 1398/5662

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 8222/640, 1398/5662?

Answer: GCF of Numerators as per given numbers 8222/640, 1398/5662 is

GCF of Numerators i.e. for 8222,1398 is 2

LCM of denominators i.e. for 640,5662 is 1811840.

Thus, GCF of Fractions is 2/1811840.Finally, GCF of Fractions for 8222/640, 1398/5662 is 2/1811840.