Greatest Common Factor of 106/27, 676/3390

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 106/27, 676/3390

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 106/27,676/3390

Given fractions are 106/27,676/3390

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 106,676

Greatest Common Factor of Numerators i.e. GCF of 106,676 is 2 .

LCM of Denominators means LCM of 27,3390 as per the given fractions.

LCM of 27,3390 is 30510 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 106,676

GCF of Fractions 106/27,676/3390 is 2/30510

2 106, 676
53, 338

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

Greatest Common Factor of 106,676 By Matching Biggest Common Factor Method

Greatest Common Factor of 106,676 By Matching Biggest Common Factor Method

Factors of 106

List of positive integer factors of 106 that divides 106 without a remainder.

1,2,53,106

Factors of 676

List of positive integer factors of 676 that divides 676 without a remainder.

1,2,4,13,26,52,169,338,676

Greatest Common Factor

We found the factors 106,676 . The biggest common factor number is the GCF number.
So the greatest common factor 106,676 is 2.

Lets's calculate LCM of 27,3390

3 27, 3390
9, 1130

∴ So the LCM of the given numbers is 3 x 9 x 1130 = 30510

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/30510

Therefore, the GCF of Fractions 106/27,676/3390 is 2/30510

Least Common Multiple of 27,3390 with GCF Formula

Least Common Multiple of 27,3390 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 27,3390 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,3390) = 3

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

GCF(27,3390) x common factors =3 x 1 = 3

LCM(27,3390) = ( 27 × 3390 ) / 3

LCM(27,3390) = 91530 / 3

LCM(27,3390) = 30510


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 106/27, 676/3390

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 106/27, 676/3390?

Answer: GCF of Numerators as per given numbers 106/27, 676/3390 is

GCF of Numerators i.e. for 106,676 is 2

LCM of denominators i.e. for 27,3390 is 30510.

Thus, GCF of Fractions is 2/30510.Finally, GCF of Fractions for 106/27, 676/3390 is 2/30510.