Greatest Common Factor of 2732/421, 2016/6786

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2732/421, 2016/6786

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 2732/421,2016/6786

Given fractions are 2732/421,2016/6786

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 2732,2016

Greatest Common Factor of Numerators i.e. GCF of 2732,2016 is 4 .

LCM of Denominators means LCM of 421,6786 as per the given fractions.

LCM of 421,6786 is 2856906 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2732,2016

GCF of Fractions 2732/421,2016/6786 is 4/2856906

2 2732, 2016
2 1366, 1008
683, 504

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 2732,2016 By Matching Biggest Common Factor Method

Greatest Common Factor of 2732,2016 By Matching Biggest Common Factor Method

Factors of 2732

List of positive integer factors of 2732 that divides 2732 without a remainder.

1,2,4,683,1366,2732

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

Greatest Common Factor

We found the factors 2732,2016 . The biggest common factor number is the GCF number.
So the greatest common factor 2732,2016 is 4.

Lets's calculate LCM of 421,6786

Given numbers has no common factors except 1. So, there LCM is their product i.e 2856906

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/2856906

Therefore, the GCF of Fractions 2732/421,2016/6786 is 4/2856906

Least Common Multiple of 421,6786 with GCF Formula

Least Common Multiple of 421,6786 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 421,6786 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(421,6786) = 1

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

GCF(421,6786) x common factors =1 x 1 = 1

LCM(421,6786) = ( 421 × 6786 ) / 1

LCM(421,6786) = 2856906 / 1

LCM(421,6786) = 2856906


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 2732/421, 2016/6786

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 2732/421, 2016/6786?

Answer: GCF of Numerators as per given numbers 2732/421, 2016/6786 is

GCF of Numerators i.e. for 2732,2016 is 4

LCM of denominators i.e. for 421,6786 is 2856906.

Thus, GCF of Fractions is 4/2856906.Finally, GCF of Fractions for 2732/421, 2016/6786 is 4/2856906.