Greatest Common Factor of 5809/689, 6361/101

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5809/689, 6361/101

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 5809/689,6361/101

Given fractions are 5809/689,6361/101

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 5809,6361

Greatest Common Factor of Numerators i.e. GCF of 5809,6361 is 1 .

LCM of Denominators means LCM of 689,101 as per the given fractions.

LCM of 689,101 is 69589 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5809,6361

GCF of Fractions 5809/689,6361/101 is 1/69589

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

Greatest Common Factor of 5809,6361 By Matching Biggest Common Factor Method

Greatest Common Factor of 5809,6361 By Matching Biggest Common Factor Method

Factors of 5809

List of positive integer factors of 5809 that divides 5809 without a remainder.

1,37,157,5809

Factors of 6361

List of positive integer factors of 6361 that divides 6361 without a remainder.

1,6361

Greatest Common Factor

We found the factors 5809,6361 . The biggest common factor number is the GCF number.
So the greatest common factor 5809,6361 is 1.

Lets's calculate LCM of 689,101

Given numbers has no common factors except 1. So, there LCM is their product i.e 69589

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/69589

Therefore, the GCF of Fractions 5809/689,6361/101 is 1/69589

Least Common Multiple of 689,101 with GCF Formula

Least Common Multiple of 689,101 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 689,101 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(689,101) = 1

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

GCF(689,101) x common factors =1 x 1 = 1

LCM(689,101) = ( 689 × 101 ) / 1

LCM(689,101) = 69589 / 1

LCM(689,101) = 69589


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 5809/689, 6361/101

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 5809/689, 6361/101?

Answer: GCF of Numerators as per given numbers 5809/689, 6361/101 is

GCF of Numerators i.e. for 5809,6361 is 1

LCM of denominators i.e. for 689,101 is 69589.

Thus, GCF of Fractions is 1/69589.Finally, GCF of Fractions for 5809/689, 6361/101 is 1/69589.