Greatest Common Factor of 671/2592, 781/8009

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 671/2592, 781/8009

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 671/2592,781/8009

Given fractions are 671/2592,781/8009

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 671,781

Greatest Common Factor of Numerators i.e. GCF of 671,781 is 11 .

LCM of Denominators means LCM of 2592,8009 as per the given fractions.

LCM of 2592,8009 is 20759328 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 671,781

GCF of Fractions 671/2592,781/8009 is 11/20759328

11 671, 781
61, 71

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 671,781 By Matching Biggest Common Factor Method

Greatest Common Factor of 671,781 By Matching Biggest Common Factor Method

Factors of 671

List of positive integer factors of 671 that divides 671 without a remainder.

1,11,61,671

Factors of 781

List of positive integer factors of 781 that divides 781 without a remainder.

1,11,71,781

Greatest Common Factor

We found the factors 671,781 . The biggest common factor number is the GCF number.
So the greatest common factor 671,781 is 11.

Lets's calculate LCM of 2592,8009

Given numbers has no common factors except 1. So, there LCM is their product i.e 20759328

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/20759328

Therefore, the GCF of Fractions 671/2592,781/8009 is 11/20759328

Least Common Multiple of 2592,8009 with GCF Formula

Least Common Multiple of 2592,8009 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 2592,8009 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2592,8009) = 1

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

GCF(2592,8009) x common factors =1 x 1 = 1

LCM(2592,8009) = ( 2592 × 8009 ) / 1

LCM(2592,8009) = 20759328 / 1

LCM(2592,8009) = 20759328


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 671/2592, 781/8009

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 671/2592, 781/8009?

Answer: GCF of Numerators as per given numbers 671/2592, 781/8009 is

GCF of Numerators i.e. for 671,781 is 11

LCM of denominators i.e. for 2592,8009 is 20759328.

Thus, GCF of Fractions is 11/20759328.Finally, GCF of Fractions for 671/2592, 781/8009 is 11/20759328.