Greatest Common Factor of 192/12, 100/1211

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 192/12, 100/1211

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 192/12,100/1211

Given fractions are 192/12,100/1211

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 192,100

Greatest Common Factor of Numerators i.e. GCF of 192,100 is 4 .

LCM of Denominators means LCM of 12,1211 as per the given fractions.

LCM of 12,1211 is 14532 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 192,100

GCF of Fractions 192/12,100/1211 is 4/14532

2 192, 100
2 96, 50
48, 25

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 192,100 By Matching Biggest Common Factor Method

Greatest Common Factor of 192,100 By Matching Biggest Common Factor Method

Factors of 192

List of positive integer factors of 192 that divides 192 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,192

Factors of 100

List of positive integer factors of 100 that divides 100 without a remainder.

1,2,4,5,10,20,25,50,100

Greatest Common Factor

We found the factors 192,100 . The biggest common factor number is the GCF number.
So the greatest common factor 192,100 is 4.

Lets's calculate LCM of 12,1211

Given numbers has no common factors except 1. So, there LCM is their product i.e 14532

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/14532

Therefore, the GCF of Fractions 192/12,100/1211 is 4/14532

Least Common Multiple of 12,1211 with GCF Formula

Least Common Multiple of 12,1211 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 12,1211 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,1211) = 1

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

GCF(12,1211) x common factors =1 x 1 = 1

LCM(12,1211) = ( 12 × 1211 ) / 1

LCM(12,1211) = 14532 / 1

LCM(12,1211) = 14532


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 192/12, 100/1211

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 192/12, 100/1211?

Answer: GCF of Numerators as per given numbers 192/12, 100/1211 is

GCF of Numerators i.e. for 192,100 is 4

LCM of denominators i.e. for 12,1211 is 14532.

Thus, GCF of Fractions is 4/14532.Finally, GCF of Fractions for 192/12, 100/1211 is 4/14532.