Greatest Common Factor of 8194/77, 7628/136

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8194/77, 7628/136

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 8194/77,7628/136

Given fractions are 8194/77,7628/136

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 8194,7628

Greatest Common Factor of Numerators i.e. GCF of 8194,7628 is 2 .

LCM of Denominators means LCM of 77,136 as per the given fractions.

LCM of 77,136 is 10472 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8194,7628

GCF of Fractions 8194/77,7628/136 is 2/10472

2 8194, 7628
4097, 3814

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

Greatest Common Factor of 8194,7628 By Matching Biggest Common Factor Method

Greatest Common Factor of 8194,7628 By Matching Biggest Common Factor Method

Factors of 8194

List of positive integer factors of 8194 that divides 8194 without a remainder.

1,2,17,34,241,482,4097,8194

Factors of 7628

List of positive integer factors of 7628 that divides 7628 without a remainder.

1,2,4,1907,3814,7628

Greatest Common Factor

We found the factors 8194,7628 . The biggest common factor number is the GCF number.
So the greatest common factor 8194,7628 is 2.

Lets's calculate LCM of 77,136

Given numbers has no common factors except 1. So, there LCM is their product i.e 10472

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/10472

Therefore, the GCF of Fractions 8194/77,7628/136 is 2/10472

Least Common Multiple of 77,136 with GCF Formula

Least Common Multiple of 77,136 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 77,136 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,136) = 1

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

GCF(77,136) x common factors =1 x 1 = 1

LCM(77,136) = ( 77 × 136 ) / 1

LCM(77,136) = 10472 / 1

LCM(77,136) = 10472


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 8194/77, 7628/136

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 8194/77, 7628/136?

Answer: GCF of Numerators as per given numbers 8194/77, 7628/136 is

GCF of Numerators i.e. for 8194,7628 is 2

LCM of denominators i.e. for 77,136 is 10472.

Thus, GCF of Fractions is 2/10472.Finally, GCF of Fractions for 8194/77, 7628/136 is 2/10472.