Greatest Common Factor of 675/945, 9807/123

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 675/945, 9807/123

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 675/945,9807/123

Given fractions are 675/945,9807/123

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 675,9807

Greatest Common Factor of Numerators i.e. GCF of 675,9807 is 3 .

LCM of Denominators means LCM of 945,123 as per the given fractions.

LCM of 945,123 is 38745 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 675,9807

GCF of Fractions 675/945,9807/123 is 3/38745

3 675, 9807
225, 3269

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 675,9807 By Matching Biggest Common Factor Method

Greatest Common Factor of 675,9807 By Matching Biggest Common Factor Method

Factors of 675

List of positive integer factors of 675 that divides 675 without a remainder.

1,3,5,9,15,25,27,45,75,135,225,675

Factors of 9807

List of positive integer factors of 9807 that divides 9807 without a remainder.

1,3,7,21,467,1401,3269,9807

Greatest Common Factor

We found the factors 675,9807 . The biggest common factor number is the GCF number.
So the greatest common factor 675,9807 is 3.

Lets's calculate LCM of 945,123

3 945, 123
315, 41

∴ So the LCM of the given numbers is 3 x 315 x 41 = 38745

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/38745

Therefore, the GCF of Fractions 675/945,9807/123 is 3/38745

Least Common Multiple of 945,123 with GCF Formula

Least Common Multiple of 945,123 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 945,123 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(945,123) = 3

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

GCF(945,123) x common factors =3 x 1 = 3

LCM(945,123) = ( 945 × 123 ) / 3

LCM(945,123) = 116235 / 3

LCM(945,123) = 38745


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 675/945, 9807/123

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 675/945, 9807/123?

Answer: GCF of Numerators as per given numbers 675/945, 9807/123 is

GCF of Numerators i.e. for 675,9807 is 3

LCM of denominators i.e. for 945,123 is 38745.

Thus, GCF of Fractions is 3/38745.Finally, GCF of Fractions for 675/945, 9807/123 is 3/38745.