Greatest Common Factor of 2016/82, 6984/817

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2016/82, 6984/817

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 2016/82,6984/817

Given fractions are 2016/82,6984/817

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 2016,6984

Greatest Common Factor of Numerators i.e. GCF of 2016,6984 is 72 .

LCM of Denominators means LCM of 82,817 as per the given fractions.

LCM of 82,817 is 66994 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2016,6984

GCF of Fractions 2016/82,6984/817 is 72/66994

2 2016, 6984
2 1008, 3492
2 504, 1746
3 252, 873
3 84, 291
28, 97

∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 x 3 = 72

Greatest Common Factor of 2016,6984 By Matching Biggest Common Factor Method

Greatest Common Factor of 2016,6984 By Matching Biggest Common Factor Method

Factors of 2016

List of positive integer factors of 2016 that divides 2016 without a remainder.

1,2,3,4,6,7,8,9,12,14,16,18,21,24,28,32,36,42,48,56,63,72,84,96,112,126,144,168,224,252,288,336,504,672,1008,2016

Factors of 6984

List of positive integer factors of 6984 that divides 6984 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72,97,194,291,388,582,776,873,1164,1746,2328,3492,6984

Greatest Common Factor

We found the factors 2016,6984 . The biggest common factor number is the GCF number.
So the greatest common factor 2016,6984 is 72.

Lets's calculate LCM of 82,817

Given numbers has no common factors except 1. So, there LCM is their product i.e 66994

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 72/66994

Therefore, the GCF of Fractions 2016/82,6984/817 is 72/66994

Least Common Multiple of 82,817 with GCF Formula

Least Common Multiple of 82,817 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 82,817 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,817) = 1

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

GCF(82,817) x common factors =1 x 1 = 1

LCM(82,817) = ( 82 × 817 ) / 1

LCM(82,817) = 66994 / 1

LCM(82,817) = 66994


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 2016/82, 6984/817

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 2016/82, 6984/817?

Answer: GCF of Numerators as per given numbers 2016/82, 6984/817 is

GCF of Numerators i.e. for 2016,6984 is 72

LCM of denominators i.e. for 82,817 is 66994.

Thus, GCF of Fractions is 72/66994.Finally, GCF of Fractions for 2016/82, 6984/817 is 72/66994.