Greatest Common Factor of 1444/198, 6162/112

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1444/198, 6162/112

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 1444/198,6162/112

Given fractions are 1444/198,6162/112

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 1444,6162

Greatest Common Factor of Numerators i.e. GCF of 1444,6162 is 2 .

LCM of Denominators means LCM of 198,112 as per the given fractions.

LCM of 198,112 is 11088 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1444,6162

GCF of Fractions 1444/198,6162/112 is 2/11088

2 1444, 6162
722, 3081

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

Greatest Common Factor of 1444,6162 By Matching Biggest Common Factor Method

Greatest Common Factor of 1444,6162 By Matching Biggest Common Factor Method

Factors of 1444

List of positive integer factors of 1444 that divides 1444 without a remainder.

1,2,4,19,38,76,361,722,1444

Factors of 6162

List of positive integer factors of 6162 that divides 6162 without a remainder.

1,2,3,6,13,26,39,78,79,158,237,474,1027,2054,3081,6162

Greatest Common Factor

We found the factors 1444,6162 . The biggest common factor number is the GCF number.
So the greatest common factor 1444,6162 is 2.

Lets's calculate LCM of 198,112

2 198, 112
99, 56

∴ So the LCM of the given numbers is 2 x 99 x 56 = 11088

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/11088

Therefore, the GCF of Fractions 1444/198,6162/112 is 2/11088

Least Common Multiple of 198,112 with GCF Formula

Least Common Multiple of 198,112 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 198,112 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(198,112) = 2

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

GCF(198,112) x common factors =2 x 1 = 2

LCM(198,112) = ( 198 × 112 ) / 2

LCM(198,112) = 22176 / 2

LCM(198,112) = 11088


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 1444/198, 6162/112

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 1444/198, 6162/112?

Answer: GCF of Numerators as per given numbers 1444/198, 6162/112 is

GCF of Numerators i.e. for 1444,6162 is 2

LCM of denominators i.e. for 198,112 is 11088.

Thus, GCF of Fractions is 2/11088.Finally, GCF of Fractions for 1444/198, 6162/112 is 2/11088.