Greatest Common Factor of 5522/43, 1944/649

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5522/43, 1944/649

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 5522/43,1944/649

Given fractions are 5522/43,1944/649

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 5522,1944

Greatest Common Factor of Numerators i.e. GCF of 5522,1944 is 2 .

LCM of Denominators means LCM of 43,649 as per the given fractions.

LCM of 43,649 is 27907 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5522,1944

GCF of Fractions 5522/43,1944/649 is 2/27907

2 5522, 1944
2761, 972

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

Greatest Common Factor of 5522,1944 By Matching Biggest Common Factor Method

Greatest Common Factor of 5522,1944 By Matching Biggest Common Factor Method

Factors of 5522

List of positive integer factors of 5522 that divides 5522 without a remainder.

1,2,11,22,251,502,2761,5522

Factors of 1944

List of positive integer factors of 1944 that divides 1944 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,81,108,162,216,243,324,486,648,972,1944

Greatest Common Factor

We found the factors 5522,1944 . The biggest common factor number is the GCF number.
So the greatest common factor 5522,1944 is 2.

Lets's calculate LCM of 43,649

Given numbers has no common factors except 1. So, there LCM is their product i.e 27907

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/27907

Therefore, the GCF of Fractions 5522/43,1944/649 is 2/27907

Least Common Multiple of 43,649 with GCF Formula

Least Common Multiple of 43,649 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 43,649 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,649) = 1

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

GCF(43,649) x common factors =1 x 1 = 1

LCM(43,649) = ( 43 × 649 ) / 1

LCM(43,649) = 27907 / 1

LCM(43,649) = 27907


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 5522/43, 1944/649

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 5522/43, 1944/649?

Answer: GCF of Numerators as per given numbers 5522/43, 1944/649 is

GCF of Numerators i.e. for 5522,1944 is 2

LCM of denominators i.e. for 43,649 is 27907.

Thus, GCF of Fractions is 2/27907.Finally, GCF of Fractions for 5522/43, 1944/649 is 2/27907.