Greatest Common Factor of 9108/597, 8360/832

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9108/597, 8360/832

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 9108/597,8360/832

Given fractions are 9108/597,8360/832

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 9108,8360

Greatest Common Factor of Numerators i.e. GCF of 9108,8360 is 44 .

LCM of Denominators means LCM of 597,832 as per the given fractions.

LCM of 597,832 is 496704 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9108,8360

GCF of Fractions 9108/597,8360/832 is 44/496704

2 9108, 8360
2 4554, 4180
11 2277, 2090
207, 190

∴ So the GCF of the given numbers is 2 x 2 x 11 = 44

Greatest Common Factor of 9108,8360 By Matching Biggest Common Factor Method

Greatest Common Factor of 9108,8360 By Matching Biggest Common Factor Method

Factors of 9108

List of positive integer factors of 9108 that divides 9108 without a remainder.

1,2,3,4,6,9,11,12,18,22,23,33,36,44,46,66,69,92,99,132,138,198,207,253,276,396,414,506,759,828,1012,1518,2277,3036,4554,9108

Factors of 8360

List of positive integer factors of 8360 that divides 8360 without a remainder.

1,2,4,5,8,10,11,19,20,22,38,40,44,55,76,88,95,110,152,190,209,220,380,418,440,760,836,1045,1672,2090,4180,8360

Greatest Common Factor

We found the factors 9108,8360 . The biggest common factor number is the GCF number.
So the greatest common factor 9108,8360 is 44.

Lets's calculate LCM of 597,832

Given numbers has no common factors except 1. So, there LCM is their product i.e 496704

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 44/496704

Therefore, the GCF of Fractions 9108/597,8360/832 is 44/496704

Least Common Multiple of 597,832 with GCF Formula

Least Common Multiple of 597,832 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 597,832 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(597,832) = 1

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

GCF(597,832) x common factors =1 x 1 = 1

LCM(597,832) = ( 597 × 832 ) / 1

LCM(597,832) = 496704 / 1

LCM(597,832) = 496704


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 9108/597, 8360/832

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 9108/597, 8360/832?

Answer: GCF of Numerators as per given numbers 9108/597, 8360/832 is

GCF of Numerators i.e. for 9108,8360 is 44

LCM of denominators i.e. for 597,832 is 496704.

Thus, GCF of Fractions is 44/496704.Finally, GCF of Fractions for 9108/597, 8360/832 is 44/496704.