Greatest Common Factor of 9921/687, 7360/205

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9921/687, 7360/205

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 9921/687,7360/205

Given fractions are 9921/687,7360/205

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 9921,7360

Greatest Common Factor of Numerators i.e. GCF of 9921,7360 is 1 .

LCM of Denominators means LCM of 687,205 as per the given fractions.

LCM of 687,205 is 140835 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9921,7360

GCF of Fractions 9921/687,7360/205 is 1/140835

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 9921,7360 By Matching Biggest Common Factor Method

Greatest Common Factor of 9921,7360 By Matching Biggest Common Factor Method

Factors of 9921

List of positive integer factors of 9921 that divides 9921 without a remainder.

1,3,3307,9921

Factors of 7360

List of positive integer factors of 7360 that divides 7360 without a remainder.

1,2,4,5,8,10,16,20,23,32,40,46,64,80,92,115,160,184,230,320,368,460,736,920,1472,1840,3680,7360

Greatest Common Factor

We found the factors 9921,7360 . The biggest common factor number is the GCF number.
So the greatest common factor 9921,7360 is 1.

Lets's calculate LCM of 687,205

Given numbers has no common factors except 1. So, there LCM is their product i.e 140835

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/140835

Therefore, the GCF of Fractions 9921/687,7360/205 is 1/140835

Least Common Multiple of 687,205 with GCF Formula

Least Common Multiple of 687,205 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 687,205 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(687,205) = 1

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

GCF(687,205) x common factors =1 x 1 = 1

LCM(687,205) = ( 687 × 205 ) / 1

LCM(687,205) = 140835 / 1

LCM(687,205) = 140835


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 9921/687, 7360/205

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 9921/687, 7360/205?

Answer: GCF of Numerators as per given numbers 9921/687, 7360/205 is

GCF of Numerators i.e. for 9921,7360 is 1

LCM of denominators i.e. for 687,205 is 140835.

Thus, GCF of Fractions is 1/140835.Finally, GCF of Fractions for 9921/687, 7360/205 is 1/140835.