Greatest Common Factor of 2196/22, 1244/984

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2196/22, 1244/984

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 2196/22,1244/984

Given fractions are 2196/22,1244/984

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 2196,1244

Greatest Common Factor of Numerators i.e. GCF of 2196,1244 is 4 .

LCM of Denominators means LCM of 22,984 as per the given fractions.

LCM of 22,984 is 10824 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2196,1244

GCF of Fractions 2196/22,1244/984 is 4/10824

2 2196, 1244
2 1098, 622
549, 311

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

Greatest Common Factor of 2196,1244 By Matching Biggest Common Factor Method

Greatest Common Factor of 2196,1244 By Matching Biggest Common Factor Method

Factors of 2196

List of positive integer factors of 2196 that divides 2196 without a remainder.

1,2,3,4,6,9,12,18,36,61,122,183,244,366,549,732,1098,2196

Factors of 1244

List of positive integer factors of 1244 that divides 1244 without a remainder.

1,2,4,311,622,1244

Greatest Common Factor

We found the factors 2196,1244 . The biggest common factor number is the GCF number.
So the greatest common factor 2196,1244 is 4.

Lets's calculate LCM of 22,984

2 22, 984
11, 492

∴ So the LCM of the given numbers is 2 x 11 x 492 = 10824

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/10824

Therefore, the GCF of Fractions 2196/22,1244/984 is 4/10824

Least Common Multiple of 22,984 with GCF Formula

Least Common Multiple of 22,984 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 22,984 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,984) = 2

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

GCF(22,984) x common factors =2 x 1 = 2

LCM(22,984) = ( 22 × 984 ) / 2

LCM(22,984) = 21648 / 2

LCM(22,984) = 10824


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 2196/22, 1244/984

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 2196/22, 1244/984?

Answer: GCF of Numerators as per given numbers 2196/22, 1244/984 is

GCF of Numerators i.e. for 2196,1244 is 4

LCM of denominators i.e. for 22,984 is 10824.

Thus, GCF of Fractions is 4/10824.Finally, GCF of Fractions for 2196/22, 1244/984 is 4/10824.