Greatest Common Factor of 8690/927, 7369/5791

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8690/927, 7369/5791

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 8690/927,7369/5791

Given fractions are 8690/927,7369/5791

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 8690,7369

Greatest Common Factor of Numerators i.e. GCF of 8690,7369 is 1 .

LCM of Denominators means LCM of 927,5791 as per the given fractions.

LCM of 927,5791 is 5368257 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8690,7369

GCF of Fractions 8690/927,7369/5791 is 1/5368257

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

Greatest Common Factor of 8690,7369 By Matching Biggest Common Factor Method

Greatest Common Factor of 8690,7369 By Matching Biggest Common Factor Method

Factors of 8690

List of positive integer factors of 8690 that divides 8690 without a remainder.

1,2,5,10,11,22,55,79,110,158,395,790,869,1738,4345,8690

Factors of 7369

List of positive integer factors of 7369 that divides 7369 without a remainder.

1,7369

Greatest Common Factor

We found the factors 8690,7369 . The biggest common factor number is the GCF number.
So the greatest common factor 8690,7369 is 1.

Lets's calculate LCM of 927,5791

Given numbers has no common factors except 1. So, there LCM is their product i.e 5368257

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5368257

Therefore, the GCF of Fractions 8690/927,7369/5791 is 1/5368257

Least Common Multiple of 927,5791 with GCF Formula

Least Common Multiple of 927,5791 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 927,5791 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(927,5791) = 1

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

GCF(927,5791) x common factors =1 x 1 = 1

LCM(927,5791) = ( 927 × 5791 ) / 1

LCM(927,5791) = 5368257 / 1

LCM(927,5791) = 5368257


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 8690/927, 7369/5791

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 8690/927, 7369/5791?

Answer: GCF of Numerators as per given numbers 8690/927, 7369/5791 is

GCF of Numerators i.e. for 8690,7369 is 1

LCM of denominators i.e. for 927,5791 is 5368257.

Thus, GCF of Fractions is 1/5368257.Finally, GCF of Fractions for 8690/927, 7369/5791 is 1/5368257.