Greatest Common Factor of 5505/37, 3133/144

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5505/37, 3133/144

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 5505/37,3133/144

Given fractions are 5505/37,3133/144

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 5505,3133

Greatest Common Factor of Numerators i.e. GCF of 5505,3133 is 1 .

LCM of Denominators means LCM of 37,144 as per the given fractions.

LCM of 37,144 is 5328 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5505,3133

GCF of Fractions 5505/37,3133/144 is 1/5328

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 5505,3133 By Matching Biggest Common Factor Method

Greatest Common Factor of 5505,3133 By Matching Biggest Common Factor Method

Factors of 5505

List of positive integer factors of 5505 that divides 5505 without a remainder.

1,3,5,15,367,1101,1835,5505

Factors of 3133

List of positive integer factors of 3133 that divides 3133 without a remainder.

1,13,241,3133

Greatest Common Factor

We found the factors 5505,3133 . The biggest common factor number is the GCF number.
So the greatest common factor 5505,3133 is 1.

Lets's calculate LCM of 37,144

Given numbers has no common factors except 1. So, there LCM is their product i.e 5328

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5328

Therefore, the GCF of Fractions 5505/37,3133/144 is 1/5328

Least Common Multiple of 37,144 with GCF Formula

Least Common Multiple of 37,144 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 37,144 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,144) = 1

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

GCF(37,144) x common factors =1 x 1 = 1

LCM(37,144) = ( 37 × 144 ) / 1

LCM(37,144) = 5328 / 1

LCM(37,144) = 5328


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 5505/37, 3133/144

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 5505/37, 3133/144?

Answer: GCF of Numerators as per given numbers 5505/37, 3133/144 is

GCF of Numerators i.e. for 5505,3133 is 1

LCM of denominators i.e. for 37,144 is 5328.

Thus, GCF of Fractions is 1/5328.Finally, GCF of Fractions for 5505/37, 3133/144 is 1/5328.