Greatest Common Factor of 6559/58, 9133/422

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6559/58, 9133/422

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 6559/58,9133/422

Given fractions are 6559/58,9133/422

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 6559,9133

Greatest Common Factor of Numerators i.e. GCF of 6559,9133 is 1 .

LCM of Denominators means LCM of 58,422 as per the given fractions.

LCM of 58,422 is 12238 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6559,9133

GCF of Fractions 6559/58,9133/422 is 1/12238

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 6559,9133 By Matching Biggest Common Factor Method

Greatest Common Factor of 6559,9133 By Matching Biggest Common Factor Method

Factors of 6559

List of positive integer factors of 6559 that divides 6559 without a remainder.

1,7,937,6559

Factors of 9133

List of positive integer factors of 9133 that divides 9133 without a remainder.

1,9133

Greatest Common Factor

We found the factors 6559,9133 . The biggest common factor number is the GCF number.
So the greatest common factor 6559,9133 is 1.

Lets's calculate LCM of 58,422

2 58, 422
29, 211

∴ So the LCM of the given numbers is 2 x 29 x 211 = 12238

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12238

Therefore, the GCF of Fractions 6559/58,9133/422 is 1/12238

Least Common Multiple of 58,422 with GCF Formula

Least Common Multiple of 58,422 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 58,422 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,422) = 2

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

GCF(58,422) x common factors =2 x 1 = 2

LCM(58,422) = ( 58 × 422 ) / 2

LCM(58,422) = 24476 / 2

LCM(58,422) = 12238


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 6559/58, 9133/422

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 6559/58, 9133/422?

Answer: GCF of Numerators as per given numbers 6559/58, 9133/422 is

GCF of Numerators i.e. for 6559,9133 is 1

LCM of denominators i.e. for 58,422 is 12238.

Thus, GCF of Fractions is 1/12238.Finally, GCF of Fractions for 6559/58, 9133/422 is 1/12238.