Greatest Common Factor of 1516/20, 9993/305

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1516/20, 9993/305

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 1516/20,9993/305

Given fractions are 1516/20,9993/305

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 1516,9993

Greatest Common Factor of Numerators i.e. GCF of 1516,9993 is 1 .

LCM of Denominators means LCM of 20,305 as per the given fractions.

LCM of 20,305 is 1220 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1516,9993

GCF of Fractions 1516/20,9993/305 is 1/1220

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

Greatest Common Factor of 1516,9993 By Matching Biggest Common Factor Method

Greatest Common Factor of 1516,9993 By Matching Biggest Common Factor Method

Factors of 1516

List of positive integer factors of 1516 that divides 1516 without a remainder.

1,2,4,379,758,1516

Factors of 9993

List of positive integer factors of 9993 that divides 9993 without a remainder.

1,3,3331,9993

Greatest Common Factor

We found the factors 1516,9993 . The biggest common factor number is the GCF number.
So the greatest common factor 1516,9993 is 1.

Lets's calculate LCM of 20,305

5 20, 305
4, 61

∴ So the LCM of the given numbers is 5 x 4 x 61 = 1220

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1220

Therefore, the GCF of Fractions 1516/20,9993/305 is 1/1220

Least Common Multiple of 20,305 with GCF Formula

Least Common Multiple of 20,305 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 20,305 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,305) = 5

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

GCF(20,305) x common factors =5 x 1 = 5

LCM(20,305) = ( 20 × 305 ) / 5

LCM(20,305) = 6100 / 5

LCM(20,305) = 1220


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 1516/20, 9993/305

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 1516/20, 9993/305?

Answer: GCF of Numerators as per given numbers 1516/20, 9993/305 is

GCF of Numerators i.e. for 1516,9993 is 1

LCM of denominators i.e. for 20,305 is 1220.

Thus, GCF of Fractions is 1/1220.Finally, GCF of Fractions for 1516/20, 9993/305 is 1/1220.