Greatest Common Factor of 9315/945, 5967/253

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9315/945, 5967/253

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 9315/945,5967/253

Given fractions are 9315/945,5967/253

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 9315,5967

Greatest Common Factor of Numerators i.e. GCF of 9315,5967 is 27 .

LCM of Denominators means LCM of 945,253 as per the given fractions.

LCM of 945,253 is 239085 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9315,5967

GCF of Fractions 9315/945,5967/253 is 27/239085

3 9315, 5967
3 3105, 1989
3 1035, 663
345, 221

∴ So the GCF of the given numbers is 3 x 3 x 3 = 27

Greatest Common Factor of 9315,5967 By Matching Biggest Common Factor Method

Greatest Common Factor of 9315,5967 By Matching Biggest Common Factor Method

Factors of 9315

List of positive integer factors of 9315 that divides 9315 without a remainder.

1,3,5,9,15,23,27,45,69,81,115,135,207,345,405,621,1035,1863,3105,9315

Factors of 5967

List of positive integer factors of 5967 that divides 5967 without a remainder.

1,3,9,13,17,27,39,51,117,153,221,351,459,663,1989,5967

Greatest Common Factor

We found the factors 9315,5967 . The biggest common factor number is the GCF number.
So the greatest common factor 9315,5967 is 27.

Lets's calculate LCM of 945,253

Given numbers has no common factors except 1. So, there LCM is their product i.e 239085

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 27/239085

Therefore, the GCF of Fractions 9315/945,5967/253 is 27/239085

Least Common Multiple of 945,253 with GCF Formula

Least Common Multiple of 945,253 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 945,253 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(945,253) = 1

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

GCF(945,253) x common factors =1 x 1 = 1

LCM(945,253) = ( 945 × 253 ) / 1

LCM(945,253) = 239085 / 1

LCM(945,253) = 239085


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 9315/945, 5967/253

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 9315/945, 5967/253?

Answer: GCF of Numerators as per given numbers 9315/945, 5967/253 is

GCF of Numerators i.e. for 9315,5967 is 27

LCM of denominators i.e. for 945,253 is 239085.

Thus, GCF of Fractions is 27/239085.Finally, GCF of Fractions for 9315/945, 5967/253 is 27/239085.