Greatest Common Factor of 945/7889, 845/1089

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 945/7889, 845/1089

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 945/7889,845/1089

Given fractions are 945/7889,845/1089

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 945,845

Greatest Common Factor of Numerators i.e. GCF of 945,845 is 5 .

LCM of Denominators means LCM of 7889,1089 as per the given fractions.

LCM of 7889,1089 is 8591121 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 945,845

GCF of Fractions 945/7889,845/1089 is 5/8591121

5 945, 845
189, 169

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 945,845 By Matching Biggest Common Factor Method

Greatest Common Factor of 945,845 By Matching Biggest Common Factor Method

Factors of 945

List of positive integer factors of 945 that divides 945 without a remainder.

1,3,5,7,9,15,21,27,35,45,63,105,135,189,315,945

Factors of 845

List of positive integer factors of 845 that divides 845 without a remainder.

1,5,13,65,169,845

Greatest Common Factor

We found the factors 945,845 . The biggest common factor number is the GCF number.
So the greatest common factor 945,845 is 5.

Lets's calculate LCM of 7889,1089

Given numbers has no common factors except 1. So, there LCM is their product i.e 8591121

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/8591121

Therefore, the GCF of Fractions 945/7889,845/1089 is 5/8591121

Least Common Multiple of 7889,1089 with GCF Formula

Least Common Multiple of 7889,1089 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 7889,1089 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7889,1089) = 1

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

GCF(7889,1089) x common factors =1 x 1 = 1

LCM(7889,1089) = ( 7889 × 1089 ) / 1

LCM(7889,1089) = 8591121 / 1

LCM(7889,1089) = 8591121


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 945/7889, 845/1089

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 945/7889, 845/1089?

Answer: GCF of Numerators as per given numbers 945/7889, 845/1089 is

GCF of Numerators i.e. for 945,845 is 5

LCM of denominators i.e. for 7889,1089 is 8591121.

Thus, GCF of Fractions is 5/8591121.Finally, GCF of Fractions for 945/7889, 845/1089 is 5/8591121.