Greatest Common Factor of 51/23, 198/15, 105/90

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 51/23, 198/15, 105/90

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 51/23,198/15,105/90

Given fractions are 51/23,198/15,105/90

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 51,198,105

Greatest Common Factor of Numerators i.e. GCF of 51,198,105 is 3 .

LCM of Denominators means LCM of 23,15,90 as per the given fractions.

LCM of 23,15,90 is 2070 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 51,198,105

GCF of Fractions 51/23,198/15,105/90 is 3/2070

3 51, 198, 105
17, 66, 35

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

Greatest Common Factor of 51,198,105 By Matching Biggest Common Factor Method

Greatest Common Factor of 51,198,105 By Matching Biggest Common Factor Method

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 198

List of positive integer factors of 198 that divides 198 without a remainder.

1,2,3,6,9,11,18,22,33,66,99,198

Factors of 105

List of positive integer factors of 105 that divides 105 without a remainder.

1,3,5,7,15,21,35,105

Greatest Common Factor

We found the factors 51,198,105 . The biggest common factor number is the GCF number.
So the greatest common factor 51,198,105 is 3.

Lets's calculate LCM of 23,15,90

3 23, 15, 90
5 23, 5, 30
23, 1, 6

∴ So the LCM of the given numbers is 3 x 5 x 23 x 1 x 6 = 2070

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2070

Therefore, the GCF of Fractions 51/23,198/15,105/90 is 3/2070

Least Common Multiple of 23,15,90 with GCF Formula

Least Common Multiple of 23,15,90 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 23,15,90 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,15,90) = 1

common factors(in case of two or more numbers have common factors) = 15

GCF(23,15,90) x common factors =1 x 15 = 15

LCM(23,15,90) = ( 23 × 15 × 90 ) / 15

LCM(23,15,90) = 31050 / 15

LCM(23,15,90) = 2070


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 51/23, 198/15, 105/90

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 51/23, 198/15, 105/90?

Answer: GCF of Numerators as per given numbers 51/23, 198/15, 105/90 is

GCF of Numerators i.e. for 51,198,105 is 3

LCM of denominators i.e. for 23,15,90 is 2070.

Thus, GCF of Fractions is 3/2070.Finally, GCF of Fractions for 51/23, 198/15, 105/90 is 3/2070.