Greatest Common Factor of 8016/84, 6800/351

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8016/84, 6800/351

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 8016/84,6800/351

Given fractions are 8016/84,6800/351

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 8016,6800

Greatest Common Factor of Numerators i.e. GCF of 8016,6800 is 16 .

LCM of Denominators means LCM of 84,351 as per the given fractions.

LCM of 84,351 is 9828 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8016,6800

GCF of Fractions 8016/84,6800/351 is 16/9828

2 8016, 6800
2 4008, 3400
2 2004, 1700
2 1002, 850
501, 425

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16

Greatest Common Factor of 8016,6800 By Matching Biggest Common Factor Method

Greatest Common Factor of 8016,6800 By Matching Biggest Common Factor Method

Factors of 8016

List of positive integer factors of 8016 that divides 8016 without a remainder.

1,2,3,4,6,8,12,16,24,48,167,334,501,668,1002,1336,2004,2672,4008,8016

Factors of 6800

List of positive integer factors of 6800 that divides 6800 without a remainder.

1,2,4,5,8,10,16,17,20,25,34,40,50,68,80,85,100,136,170,200,272,340,400,425,680,850,1360,1700,3400,6800

Greatest Common Factor

We found the factors 8016,6800 . The biggest common factor number is the GCF number.
So the greatest common factor 8016,6800 is 16.

Lets's calculate LCM of 84,351

3 84, 351
28, 117

∴ So the LCM of the given numbers is 3 x 28 x 117 = 9828

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/9828

Therefore, the GCF of Fractions 8016/84,6800/351 is 16/9828

Least Common Multiple of 84,351 with GCF Formula

Least Common Multiple of 84,351 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 84,351 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,351) = 3

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

GCF(84,351) x common factors =3 x 1 = 3

LCM(84,351) = ( 84 × 351 ) / 3

LCM(84,351) = 29484 / 3

LCM(84,351) = 9828


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 8016/84, 6800/351

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 8016/84, 6800/351?

Answer: GCF of Numerators as per given numbers 8016/84, 6800/351 is

GCF of Numerators i.e. for 8016,6800 is 16

LCM of denominators i.e. for 84,351 is 9828.

Thus, GCF of Fractions is 16/9828.Finally, GCF of Fractions for 8016/84, 6800/351 is 16/9828.