Greatest Common Factor of 5981/654, 5223/9767

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5981/654, 5223/9767

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 5981/654,5223/9767

Given fractions are 5981/654,5223/9767

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 5981,5223

Greatest Common Factor of Numerators i.e. GCF of 5981,5223 is 1 .

LCM of Denominators means LCM of 654,9767 as per the given fractions.

LCM of 654,9767 is 6387618 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5981,5223

GCF of Fractions 5981/654,5223/9767 is 1/6387618

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

Greatest Common Factor of 5981,5223 By Matching Biggest Common Factor Method

Greatest Common Factor of 5981,5223 By Matching Biggest Common Factor Method

Factors of 5981

List of positive integer factors of 5981 that divides 5981 without a remainder.

1,5981

Factors of 5223

List of positive integer factors of 5223 that divides 5223 without a remainder.

1,3,1741,5223

Greatest Common Factor

We found the factors 5981,5223 . The biggest common factor number is the GCF number.
So the greatest common factor 5981,5223 is 1.

Lets's calculate LCM of 654,9767

Given numbers has no common factors except 1. So, there LCM is their product i.e 6387618

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6387618

Therefore, the GCF of Fractions 5981/654,5223/9767 is 1/6387618

Least Common Multiple of 654,9767 with GCF Formula

Least Common Multiple of 654,9767 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 654,9767 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(654,9767) = 1

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

GCF(654,9767) x common factors =1 x 1 = 1

LCM(654,9767) = ( 654 × 9767 ) / 1

LCM(654,9767) = 6387618 / 1

LCM(654,9767) = 6387618


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 5981/654, 5223/9767

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 5981/654, 5223/9767?

Answer: GCF of Numerators as per given numbers 5981/654, 5223/9767 is

GCF of Numerators i.e. for 5981,5223 is 1

LCM of denominators i.e. for 654,9767 is 6387618.

Thus, GCF of Fractions is 1/6387618.Finally, GCF of Fractions for 5981/654, 5223/9767 is 1/6387618.