Greatest Common Factor of 368/582, 5689/432

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 368/582, 5689/432

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 368/582,5689/432

Given fractions are 368/582,5689/432

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 368,5689

Greatest Common Factor of Numerators i.e. GCF of 368,5689 is 1 .

LCM of Denominators means LCM of 582,432 as per the given fractions.

LCM of 582,432 is 41904 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 368,5689

GCF of Fractions 368/582,5689/432 is 1/41904

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

Greatest Common Factor of 368,5689 By Matching Biggest Common Factor Method

Greatest Common Factor of 368,5689 By Matching Biggest Common Factor Method

Factors of 368

List of positive integer factors of 368 that divides 368 without a remainder.

1,2,4,8,16,23,46,92,184,368

Factors of 5689

List of positive integer factors of 5689 that divides 5689 without a remainder.

1,5689

Greatest Common Factor

We found the factors 368,5689 . The biggest common factor number is the GCF number.
So the greatest common factor 368,5689 is 1.

Lets's calculate LCM of 582,432

2 582, 432
3 291, 216
97, 72

∴ So the LCM of the given numbers is 2 x 3 x 97 x 72 = 41904

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/41904

Therefore, the GCF of Fractions 368/582,5689/432 is 1/41904

Least Common Multiple of 582,432 with GCF Formula

Least Common Multiple of 582,432 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 582,432 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(582,432) = 6

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

GCF(582,432) x common factors =6 x 1 = 6

LCM(582,432) = ( 582 × 432 ) / 6

LCM(582,432) = 251424 / 6

LCM(582,432) = 41904


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 368/582, 5689/432

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 368/582, 5689/432?

Answer: GCF of Numerators as per given numbers 368/582, 5689/432 is

GCF of Numerators i.e. for 368,5689 is 1

LCM of denominators i.e. for 582,432 is 41904.

Thus, GCF of Fractions is 1/41904.Finally, GCF of Fractions for 368/582, 5689/432 is 1/41904.