Greatest Common Factor of 198/38, 516/47, 105/917

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 198/38, 516/47, 105/917

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 198/38,516/47,105/917

Given fractions are 198/38,516/47,105/917

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 198,516,105

Greatest Common Factor of Numerators i.e. GCF of 198,516,105 is 3 .

LCM of Denominators means LCM of 38,47,917 as per the given fractions.

LCM of 38,47,917 is 1637762 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 198,516,105

GCF of Fractions 198/38,516/47,105/917 is 3/1637762

3 198, 516, 105
66, 172, 35

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

Greatest Common Factor of 198,516,105 By Matching Biggest Common Factor Method

Greatest Common Factor of 198,516,105 By Matching Biggest Common Factor Method

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 516

List of positive integer factors of 516 that divides 516 without a remainder.

1,2,3,4,6,12,43,86,129,172,258,516

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 198,516,105 . The biggest common factor number is the GCF number.
So the greatest common factor 198,516,105 is 3.

Lets's calculate LCM of 38,47,917

Given numbers has no common factors except 1. So, there LCM is their product i.e 1637762

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1637762

Therefore, the GCF of Fractions 198/38,516/47,105/917 is 3/1637762

Least Common Multiple of 38,47,917 with GCF Formula

Least Common Multiple of 38,47,917 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 38,47,917 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,47,917) = 1

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

GCF(38,47,917) x common factors =1 x 1 = 1

LCM(38,47,917) = ( 38 × 47 × 917 ) / 1

LCM(38,47,917) = 1637762 / 1

LCM(38,47,917) = 1637762


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 198/38, 516/47, 105/917

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 198/38, 516/47, 105/917?

Answer: GCF of Numerators as per given numbers 198/38, 516/47, 105/917 is

GCF of Numerators i.e. for 198,516,105 is 3

LCM of denominators i.e. for 38,47,917 is 1637762.

Thus, GCF of Fractions is 3/1637762.Finally, GCF of Fractions for 198/38, 516/47, 105/917 is 3/1637762.