Greatest Common Factor of 9431/568, 2569/1636

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9431/568, 2569/1636

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 9431/568,2569/1636

Given fractions are 9431/568,2569/1636

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 9431,2569

Greatest Common Factor of Numerators i.e. GCF of 9431,2569 is 1 .

LCM of Denominators means LCM of 568,1636 as per the given fractions.

LCM of 568,1636 is 232312 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9431,2569

GCF of Fractions 9431/568,2569/1636 is 1/232312

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

Greatest Common Factor of 9431,2569 By Matching Biggest Common Factor Method

Greatest Common Factor of 9431,2569 By Matching Biggest Common Factor Method

Factors of 9431

List of positive integer factors of 9431 that divides 9431 without a remainder.

1,9431

Factors of 2569

List of positive integer factors of 2569 that divides 2569 without a remainder.

1,7,367,2569

Greatest Common Factor

We found the factors 9431,2569 . The biggest common factor number is the GCF number.
So the greatest common factor 9431,2569 is 1.

Lets's calculate LCM of 568,1636

2 568, 1636
2 284, 818
142, 409

∴ So the LCM of the given numbers is 2 x 2 x 142 x 409 = 232312

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/232312

Therefore, the GCF of Fractions 9431/568,2569/1636 is 1/232312

Least Common Multiple of 568,1636 with GCF Formula

Least Common Multiple of 568,1636 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 568,1636 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(568,1636) = 4

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

GCF(568,1636) x common factors =4 x 1 = 4

LCM(568,1636) = ( 568 × 1636 ) / 4

LCM(568,1636) = 929248 / 4

LCM(568,1636) = 232312


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 9431/568, 2569/1636

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 9431/568, 2569/1636?

Answer: GCF of Numerators as per given numbers 9431/568, 2569/1636 is

GCF of Numerators i.e. for 9431,2569 is 1

LCM of denominators i.e. for 568,1636 is 232312.

Thus, GCF of Fractions is 1/232312.Finally, GCF of Fractions for 9431/568, 2569/1636 is 1/232312.