Greatest Common Factor of 6684/906, 1790/6757

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6684/906, 1790/6757

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 6684/906,1790/6757

Given fractions are 6684/906,1790/6757

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 6684,1790

Greatest Common Factor of Numerators i.e. GCF of 6684,1790 is 2 .

LCM of Denominators means LCM of 906,6757 as per the given fractions.

LCM of 906,6757 is 6121842 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6684,1790

GCF of Fractions 6684/906,1790/6757 is 2/6121842

2 6684, 1790
3342, 895

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

Greatest Common Factor of 6684,1790 By Matching Biggest Common Factor Method

Greatest Common Factor of 6684,1790 By Matching Biggest Common Factor Method

Factors of 6684

List of positive integer factors of 6684 that divides 6684 without a remainder.

1,2,3,4,6,12,557,1114,1671,2228,3342,6684

Factors of 1790

List of positive integer factors of 1790 that divides 1790 without a remainder.

1,2,5,10,179,358,895,1790

Greatest Common Factor

We found the factors 6684,1790 . The biggest common factor number is the GCF number.
So the greatest common factor 6684,1790 is 2.

Lets's calculate LCM of 906,6757

Given numbers has no common factors except 1. So, there LCM is their product i.e 6121842

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6121842

Therefore, the GCF of Fractions 6684/906,1790/6757 is 2/6121842

Least Common Multiple of 906,6757 with GCF Formula

Least Common Multiple of 906,6757 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 906,6757 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(906,6757) = 1

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

GCF(906,6757) x common factors =1 x 1 = 1

LCM(906,6757) = ( 906 × 6757 ) / 1

LCM(906,6757) = 6121842 / 1

LCM(906,6757) = 6121842


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 6684/906, 1790/6757

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 6684/906, 1790/6757?

Answer: GCF of Numerators as per given numbers 6684/906, 1790/6757 is

GCF of Numerators i.e. for 6684,1790 is 2

LCM of denominators i.e. for 906,6757 is 6121842.

Thus, GCF of Fractions is 2/6121842.Finally, GCF of Fractions for 6684/906, 1790/6757 is 2/6121842.