Greatest Common Factor of 9165/38, 1464/657

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9165/38, 1464/657

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 9165/38,1464/657

Given fractions are 9165/38,1464/657

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 9165,1464

Greatest Common Factor of Numerators i.e. GCF of 9165,1464 is 3 .

LCM of Denominators means LCM of 38,657 as per the given fractions.

LCM of 38,657 is 24966 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9165,1464

GCF of Fractions 9165/38,1464/657 is 3/24966

3 9165, 1464
3055, 488

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

Greatest Common Factor of 9165,1464 By Matching Biggest Common Factor Method

Greatest Common Factor of 9165,1464 By Matching Biggest Common Factor Method

Factors of 9165

List of positive integer factors of 9165 that divides 9165 without a remainder.

1,3,5,13,15,39,47,65,141,195,235,611,705,1833,3055,9165

Factors of 1464

List of positive integer factors of 1464 that divides 1464 without a remainder.

1,2,3,4,6,8,12,24,61,122,183,244,366,488,732,1464

Greatest Common Factor

We found the factors 9165,1464 . The biggest common factor number is the GCF number.
So the greatest common factor 9165,1464 is 3.

Lets's calculate LCM of 38,657

Given numbers has no common factors except 1. So, there LCM is their product i.e 24966

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/24966

Therefore, the GCF of Fractions 9165/38,1464/657 is 3/24966

Least Common Multiple of 38,657 with GCF Formula

Least Common Multiple of 38,657 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 38,657 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,657) = 1

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

GCF(38,657) x common factors =1 x 1 = 1

LCM(38,657) = ( 38 × 657 ) / 1

LCM(38,657) = 24966 / 1

LCM(38,657) = 24966


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 9165/38, 1464/657

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 9165/38, 1464/657?

Answer: GCF of Numerators as per given numbers 9165/38, 1464/657 is

GCF of Numerators i.e. for 9165,1464 is 3

LCM of denominators i.e. for 38,657 is 24966.

Thus, GCF of Fractions is 3/24966.Finally, GCF of Fractions for 9165/38, 1464/657 is 3/24966.