Greatest Common Factor of 2013/85, 5216/997

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2013/85, 5216/997

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 2013/85,5216/997

Given fractions are 2013/85,5216/997

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 2013,5216

Greatest Common Factor of Numerators i.e. GCF of 2013,5216 is 1 .

LCM of Denominators means LCM of 85,997 as per the given fractions.

LCM of 85,997 is 84745 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2013,5216

GCF of Fractions 2013/85,5216/997 is 1/84745

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

Greatest Common Factor of 2013,5216 By Matching Biggest Common Factor Method

Greatest Common Factor of 2013,5216 By Matching Biggest Common Factor Method

Factors of 2013

List of positive integer factors of 2013 that divides 2013 without a remainder.

1,3,11,33,61,183,671,2013

Factors of 5216

List of positive integer factors of 5216 that divides 5216 without a remainder.

1,2,4,8,16,32,163,326,652,1304,2608,5216

Greatest Common Factor

We found the factors 2013,5216 . The biggest common factor number is the GCF number.
So the greatest common factor 2013,5216 is 1.

Lets's calculate LCM of 85,997

Given numbers has no common factors except 1. So, there LCM is their product i.e 84745

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/84745

Therefore, the GCF of Fractions 2013/85,5216/997 is 1/84745

Least Common Multiple of 85,997 with GCF Formula

Least Common Multiple of 85,997 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 85,997 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,997) = 1

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

GCF(85,997) x common factors =1 x 1 = 1

LCM(85,997) = ( 85 × 997 ) / 1

LCM(85,997) = 84745 / 1

LCM(85,997) = 84745


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 2013/85, 5216/997

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 2013/85, 5216/997?

Answer: GCF of Numerators as per given numbers 2013/85, 5216/997 is

GCF of Numerators i.e. for 2013,5216 is 1

LCM of denominators i.e. for 85,997 is 84745.

Thus, GCF of Fractions is 1/84745.Finally, GCF of Fractions for 2013/85, 5216/997 is 1/84745.