Greatest Common Factor of 6806/749, 7622/388

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6806/749, 7622/388

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 6806/749,7622/388

Given fractions are 6806/749,7622/388

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 6806,7622

Greatest Common Factor of Numerators i.e. GCF of 6806,7622 is 2 .

LCM of Denominators means LCM of 749,388 as per the given fractions.

LCM of 749,388 is 290612 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6806,7622

GCF of Fractions 6806/749,7622/388 is 2/290612

2 6806, 7622
3403, 3811

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

Greatest Common Factor of 6806,7622 By Matching Biggest Common Factor Method

Greatest Common Factor of 6806,7622 By Matching Biggest Common Factor Method

Factors of 6806

List of positive integer factors of 6806 that divides 6806 without a remainder.

1,2,41,82,83,166,3403,6806

Factors of 7622

List of positive integer factors of 7622 that divides 7622 without a remainder.

1,2,37,74,103,206,3811,7622

Greatest Common Factor

We found the factors 6806,7622 . The biggest common factor number is the GCF number.
So the greatest common factor 6806,7622 is 2.

Lets's calculate LCM of 749,388

Given numbers has no common factors except 1. So, there LCM is their product i.e 290612

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/290612

Therefore, the GCF of Fractions 6806/749,7622/388 is 2/290612

Least Common Multiple of 749,388 with GCF Formula

Least Common Multiple of 749,388 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 749,388 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(749,388) = 1

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

GCF(749,388) x common factors =1 x 1 = 1

LCM(749,388) = ( 749 × 388 ) / 1

LCM(749,388) = 290612 / 1

LCM(749,388) = 290612


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 6806/749, 7622/388

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 6806/749, 7622/388?

Answer: GCF of Numerators as per given numbers 6806/749, 7622/388 is

GCF of Numerators i.e. for 6806,7622 is 2

LCM of denominators i.e. for 749,388 is 290612.

Thus, GCF of Fractions is 2/290612.Finally, GCF of Fractions for 6806/749, 7622/388 is 2/290612.