Greatest Common Factor of 675/654, 366/298

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 675/654, 366/298

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 675/654,366/298

Given fractions are 675/654,366/298

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 675,366

Greatest Common Factor of Numerators i.e. GCF of 675,366 is 3 .

LCM of Denominators means LCM of 654,298 as per the given fractions.

LCM of 654,298 is 97446 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 675,366

GCF of Fractions 675/654,366/298 is 3/97446

3 675, 366
225, 122

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 675,366 By Matching Biggest Common Factor Method

Greatest Common Factor of 675,366 By Matching Biggest Common Factor Method

Factors of 675

List of positive integer factors of 675 that divides 675 without a remainder.

1,3,5,9,15,25,27,45,75,135,225,675

Factors of 366

List of positive integer factors of 366 that divides 366 without a remainder.

1,2,3,6,61,122,183,366

Greatest Common Factor

We found the factors 675,366 . The biggest common factor number is the GCF number.
So the greatest common factor 675,366 is 3.

Lets's calculate LCM of 654,298

2 654, 298
327, 149

∴ So the LCM of the given numbers is 2 x 327 x 149 = 97446

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/97446

Therefore, the GCF of Fractions 675/654,366/298 is 3/97446

Least Common Multiple of 654,298 with GCF Formula

Least Common Multiple of 654,298 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 654,298 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(654,298) = 2

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

GCF(654,298) x common factors =2 x 1 = 2

LCM(654,298) = ( 654 × 298 ) / 2

LCM(654,298) = 194892 / 2

LCM(654,298) = 97446


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 675/654, 366/298

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 675/654, 366/298?

Answer: GCF of Numerators as per given numbers 675/654, 366/298 is

GCF of Numerators i.e. for 675,366 is 3

LCM of denominators i.e. for 654,298 is 97446.

Thus, GCF of Fractions is 3/97446.Finally, GCF of Fractions for 675/654, 366/298 is 3/97446.