Greatest Common Factor of 6442/626, 2810/7669

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6442/626, 2810/7669

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 6442/626,2810/7669

Given fractions are 6442/626,2810/7669

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 6442,2810

Greatest Common Factor of Numerators i.e. GCF of 6442,2810 is 2 .

LCM of Denominators means LCM of 626,7669 as per the given fractions.

LCM of 626,7669 is 4800794 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6442,2810

GCF of Fractions 6442/626,2810/7669 is 2/4800794

2 6442, 2810
3221, 1405

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

Greatest Common Factor of 6442,2810 By Matching Biggest Common Factor Method

Greatest Common Factor of 6442,2810 By Matching Biggest Common Factor Method

Factors of 6442

List of positive integer factors of 6442 that divides 6442 without a remainder.

1,2,3221,6442

Factors of 2810

List of positive integer factors of 2810 that divides 2810 without a remainder.

1,2,5,10,281,562,1405,2810

Greatest Common Factor

We found the factors 6442,2810 . The biggest common factor number is the GCF number.
So the greatest common factor 6442,2810 is 2.

Lets's calculate LCM of 626,7669

Given numbers has no common factors except 1. So, there LCM is their product i.e 4800794

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4800794

Therefore, the GCF of Fractions 6442/626,2810/7669 is 2/4800794

Least Common Multiple of 626,7669 with GCF Formula

Least Common Multiple of 626,7669 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 626,7669 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(626,7669) = 1

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

GCF(626,7669) x common factors =1 x 1 = 1

LCM(626,7669) = ( 626 × 7669 ) / 1

LCM(626,7669) = 4800794 / 1

LCM(626,7669) = 4800794


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 6442/626, 2810/7669

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 6442/626, 2810/7669?

Answer: GCF of Numerators as per given numbers 6442/626, 2810/7669 is

GCF of Numerators i.e. for 6442,2810 is 2

LCM of denominators i.e. for 626,7669 is 4800794.

Thus, GCF of Fractions is 2/4800794.Finally, GCF of Fractions for 6442/626, 2810/7669 is 2/4800794.