Greatest Common Factor of 289/59, 7463/956

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 289/59, 7463/956

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 289/59,7463/956

Given fractions are 289/59,7463/956

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 289,7463

Greatest Common Factor of Numerators i.e. GCF of 289,7463 is 17 .

LCM of Denominators means LCM of 59,956 as per the given fractions.

LCM of 59,956 is 56404 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 289,7463

GCF of Fractions 289/59,7463/956 is 17/56404

17 289, 7463
17, 439

∴ So the GCF of the given numbers is 17 = 17

Greatest Common Factor of 289,7463 By Matching Biggest Common Factor Method

Greatest Common Factor of 289,7463 By Matching Biggest Common Factor Method

Factors of 289

List of positive integer factors of 289 that divides 289 without a remainder.

1,17,289

Factors of 7463

List of positive integer factors of 7463 that divides 7463 without a remainder.

1,17,439,7463

Greatest Common Factor

We found the factors 289,7463 . The biggest common factor number is the GCF number.
So the greatest common factor 289,7463 is 17.

Lets's calculate LCM of 59,956

Given numbers has no common factors except 1. So, there LCM is their product i.e 56404

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/56404

Therefore, the GCF of Fractions 289/59,7463/956 is 17/56404

Least Common Multiple of 59,956 with GCF Formula

Least Common Multiple of 59,956 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 59,956 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,956) = 1

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

GCF(59,956) x common factors =1 x 1 = 1

LCM(59,956) = ( 59 × 956 ) / 1

LCM(59,956) = 56404 / 1

LCM(59,956) = 56404


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 289/59, 7463/956

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 289/59, 7463/956?

Answer: GCF of Numerators as per given numbers 289/59, 7463/956 is

GCF of Numerators i.e. for 289,7463 is 17

LCM of denominators i.e. for 59,956 is 56404.

Thus, GCF of Fractions is 17/56404.Finally, GCF of Fractions for 289/59, 7463/956 is 17/56404.