Greatest Common Factor of 5694/11, 7830/961

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5694/11, 7830/961

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 5694/11,7830/961

Given fractions are 5694/11,7830/961

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 5694,7830

Greatest Common Factor of Numerators i.e. GCF of 5694,7830 is 6 .

LCM of Denominators means LCM of 11,961 as per the given fractions.

LCM of 11,961 is 10571 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5694,7830

GCF of Fractions 5694/11,7830/961 is 6/10571

2 5694, 7830
3 2847, 3915
949, 1305

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 5694,7830 By Matching Biggest Common Factor Method

Greatest Common Factor of 5694,7830 By Matching Biggest Common Factor Method

Factors of 5694

List of positive integer factors of 5694 that divides 5694 without a remainder.

1,2,3,6,13,26,39,73,78,146,219,438,949,1898,2847,5694

Factors of 7830

List of positive integer factors of 7830 that divides 7830 without a remainder.

1,2,3,5,6,9,10,15,18,27,29,30,45,54,58,87,90,135,145,174,261,270,290,435,522,783,870,1305,1566,2610,3915,7830

Greatest Common Factor

We found the factors 5694,7830 . The biggest common factor number is the GCF number.
So the greatest common factor 5694,7830 is 6.

Lets's calculate LCM of 11,961

Given numbers has no common factors except 1. So, there LCM is their product i.e 10571

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/10571

Therefore, the GCF of Fractions 5694/11,7830/961 is 6/10571

Least Common Multiple of 11,961 with GCF Formula

Least Common Multiple of 11,961 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 11,961 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,961) = 1

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

GCF(11,961) x common factors =1 x 1 = 1

LCM(11,961) = ( 11 × 961 ) / 1

LCM(11,961) = 10571 / 1

LCM(11,961) = 10571


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 5694/11, 7830/961

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 5694/11, 7830/961?

Answer: GCF of Numerators as per given numbers 5694/11, 7830/961 is

GCF of Numerators i.e. for 5694,7830 is 6

LCM of denominators i.e. for 11,961 is 10571.

Thus, GCF of Fractions is 6/10571.Finally, GCF of Fractions for 5694/11, 7830/961 is 6/10571.