Greatest Common Factor of 7106/273, 7146/300

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7106/273, 7146/300

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 7106/273,7146/300

Given fractions are 7106/273,7146/300

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 7106,7146

Greatest Common Factor of Numerators i.e. GCF of 7106,7146 is 2 .

LCM of Denominators means LCM of 273,300 as per the given fractions.

LCM of 273,300 is 27300 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7106,7146

GCF of Fractions 7106/273,7146/300 is 2/27300

2 7106, 7146
3553, 3573

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

Greatest Common Factor of 7106,7146 By Matching Biggest Common Factor Method

Greatest Common Factor of 7106,7146 By Matching Biggest Common Factor Method

Factors of 7106

List of positive integer factors of 7106 that divides 7106 without a remainder.

1,2,11,17,19,22,34,38,187,209,323,374,418,646,3553,7106

Factors of 7146

List of positive integer factors of 7146 that divides 7146 without a remainder.

1,2,3,6,9,18,397,794,1191,2382,3573,7146

Greatest Common Factor

We found the factors 7106,7146 . The biggest common factor number is the GCF number.
So the greatest common factor 7106,7146 is 2.

Lets's calculate LCM of 273,300

3 273, 300
91, 100

∴ So the LCM of the given numbers is 3 x 91 x 100 = 27300

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/27300

Therefore, the GCF of Fractions 7106/273,7146/300 is 2/27300

Least Common Multiple of 273,300 with GCF Formula

Least Common Multiple of 273,300 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 273,300 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(273,300) = 3

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

GCF(273,300) x common factors =3 x 1 = 3

LCM(273,300) = ( 273 × 300 ) / 3

LCM(273,300) = 81900 / 3

LCM(273,300) = 27300


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 7106/273, 7146/300

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 7106/273, 7146/300?

Answer: GCF of Numerators as per given numbers 7106/273, 7146/300 is

GCF of Numerators i.e. for 7106,7146 is 2

LCM of denominators i.e. for 273,300 is 27300.

Thus, GCF of Fractions is 2/27300.Finally, GCF of Fractions for 7106/273, 7146/300 is 2/27300.