Greatest Common Factor of 5409/492, 7759/9867

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5409/492, 7759/9867

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 5409/492,7759/9867

Given fractions are 5409/492,7759/9867

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 5409,7759

Greatest Common Factor of Numerators i.e. GCF of 5409,7759 is 1 .

LCM of Denominators means LCM of 492,9867 as per the given fractions.

LCM of 492,9867 is 1618188 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5409,7759

GCF of Fractions 5409/492,7759/9867 is 1/1618188

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

Greatest Common Factor of 5409,7759 By Matching Biggest Common Factor Method

Greatest Common Factor of 5409,7759 By Matching Biggest Common Factor Method

Factors of 5409

List of positive integer factors of 5409 that divides 5409 without a remainder.

1,3,9,601,1803,5409

Factors of 7759

List of positive integer factors of 7759 that divides 7759 without a remainder.

1,7759

Greatest Common Factor

We found the factors 5409,7759 . The biggest common factor number is the GCF number.
So the greatest common factor 5409,7759 is 1.

Lets's calculate LCM of 492,9867

3 492, 9867
164, 3289

∴ So the LCM of the given numbers is 3 x 164 x 3289 = 1618188

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1618188

Therefore, the GCF of Fractions 5409/492,7759/9867 is 1/1618188

Least Common Multiple of 492,9867 with GCF Formula

Least Common Multiple of 492,9867 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 492,9867 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(492,9867) = 3

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

GCF(492,9867) x common factors =3 x 1 = 3

LCM(492,9867) = ( 492 × 9867 ) / 3

LCM(492,9867) = 4854564 / 3

LCM(492,9867) = 1618188


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 5409/492, 7759/9867

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 5409/492, 7759/9867?

Answer: GCF of Numerators as per given numbers 5409/492, 7759/9867 is

GCF of Numerators i.e. for 5409,7759 is 1

LCM of denominators i.e. for 492,9867 is 1618188.

Thus, GCF of Fractions is 1/1618188.Finally, GCF of Fractions for 5409/492, 7759/9867 is 1/1618188.