Greatest Common Factor of 9207/481, 5005/5173

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9207/481, 5005/5173

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 9207/481,5005/5173

Given fractions are 9207/481,5005/5173

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 9207,5005

Greatest Common Factor of Numerators i.e. GCF of 9207,5005 is 11 .

LCM of Denominators means LCM of 481,5173 as per the given fractions.

LCM of 481,5173 is 2488213 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9207,5005

GCF of Fractions 9207/481,5005/5173 is 11/2488213

11 9207, 5005
837, 455

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 9207,5005 By Matching Biggest Common Factor Method

Greatest Common Factor of 9207,5005 By Matching Biggest Common Factor Method

Factors of 9207

List of positive integer factors of 9207 that divides 9207 without a remainder.

1,3,9,11,27,31,33,93,99,279,297,341,837,1023,3069,9207

Factors of 5005

List of positive integer factors of 5005 that divides 5005 without a remainder.

1,5,7,11,13,35,55,65,77,91,143,385,455,715,1001,5005

Greatest Common Factor

We found the factors 9207,5005 . The biggest common factor number is the GCF number.
So the greatest common factor 9207,5005 is 11.

Lets's calculate LCM of 481,5173

Given numbers has no common factors except 1. So, there LCM is their product i.e 2488213

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/2488213

Therefore, the GCF of Fractions 9207/481,5005/5173 is 11/2488213

Least Common Multiple of 481,5173 with GCF Formula

Least Common Multiple of 481,5173 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 481,5173 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(481,5173) = 1

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

GCF(481,5173) x common factors =1 x 1 = 1

LCM(481,5173) = ( 481 × 5173 ) / 1

LCM(481,5173) = 2488213 / 1

LCM(481,5173) = 2488213


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 9207/481, 5005/5173

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 9207/481, 5005/5173?

Answer: GCF of Numerators as per given numbers 9207/481, 5005/5173 is

GCF of Numerators i.e. for 9207,5005 is 11

LCM of denominators i.e. for 481,5173 is 2488213.

Thus, GCF of Fractions is 11/2488213.Finally, GCF of Fractions for 9207/481, 5005/5173 is 11/2488213.