Greatest Common Factor of 76/289, 646/103

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 76/289, 646/103

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 76/289,646/103

Given fractions are 76/289,646/103

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 76,646

Greatest Common Factor of Numerators i.e. GCF of 76,646 is 38 .

LCM of Denominators means LCM of 289,103 as per the given fractions.

LCM of 289,103 is 29767 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 76,646

GCF of Fractions 76/289,646/103 is 38/29767

2 76, 646
19 38, 323
2, 17

∴ So the GCF of the given numbers is 2 x 19 = 38

Greatest Common Factor of 76,646 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,646 By Matching Biggest Common Factor Method

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 646

List of positive integer factors of 646 that divides 646 without a remainder.

1,2,17,19,34,38,323,646

Greatest Common Factor

We found the factors 76,646 . The biggest common factor number is the GCF number.
So the greatest common factor 76,646 is 38.

Lets's calculate LCM of 289,103

Given numbers has no common factors except 1. So, there LCM is their product i.e 29767

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 38/29767

Therefore, the GCF of Fractions 76/289,646/103 is 38/29767

Least Common Multiple of 289,103 with GCF Formula

Least Common Multiple of 289,103 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 289,103 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(289,103) = 1

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

GCF(289,103) x common factors =1 x 1 = 1

LCM(289,103) = ( 289 × 103 ) / 1

LCM(289,103) = 29767 / 1

LCM(289,103) = 29767


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 76/289, 646/103

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 76/289, 646/103?

Answer: GCF of Numerators as per given numbers 76/289, 646/103 is

GCF of Numerators i.e. for 76,646 is 38

LCM of denominators i.e. for 289,103 is 29767.

Thus, GCF of Fractions is 38/29767.Finally, GCF of Fractions for 76/289, 646/103 is 38/29767.