Greatest Common Factor of 5005/17, 9516/121

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5005/17, 9516/121

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 5005/17,9516/121

Given fractions are 5005/17,9516/121

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 5005,9516

Greatest Common Factor of Numerators i.e. GCF of 5005,9516 is 13 .

LCM of Denominators means LCM of 17,121 as per the given fractions.

LCM of 17,121 is 2057 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5005,9516

GCF of Fractions 5005/17,9516/121 is 13/2057

13 5005, 9516
385, 732

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 5005,9516 By Matching Biggest Common Factor Method

Greatest Common Factor of 5005,9516 By Matching Biggest Common Factor Method

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

Factors of 9516

List of positive integer factors of 9516 that divides 9516 without a remainder.

1,2,3,4,6,12,13,26,39,52,61,78,122,156,183,244,366,732,793,1586,2379,3172,4758,9516

Greatest Common Factor

We found the factors 5005,9516 . The biggest common factor number is the GCF number.
So the greatest common factor 5005,9516 is 13.

Lets's calculate LCM of 17,121

Given numbers has no common factors except 1. So, there LCM is their product i.e 2057

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/2057

Therefore, the GCF of Fractions 5005/17,9516/121 is 13/2057

Least Common Multiple of 17,121 with GCF Formula

Least Common Multiple of 17,121 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 17,121 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,121) = 1

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

GCF(17,121) x common factors =1 x 1 = 1

LCM(17,121) = ( 17 × 121 ) / 1

LCM(17,121) = 2057 / 1

LCM(17,121) = 2057


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 5005/17, 9516/121

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 5005/17, 9516/121?

Answer: GCF of Numerators as per given numbers 5005/17, 9516/121 is

GCF of Numerators i.e. for 5005,9516 is 13

LCM of denominators i.e. for 17,121 is 2057.

Thus, GCF of Fractions is 13/2057.Finally, GCF of Fractions for 5005/17, 9516/121 is 13/2057.