Greatest Common Factor of 5990/457, 5105/2638

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5990/457, 5105/2638

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 5990/457,5105/2638

Given fractions are 5990/457,5105/2638

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 5990,5105

Greatest Common Factor of Numerators i.e. GCF of 5990,5105 is 5 .

LCM of Denominators means LCM of 457,2638 as per the given fractions.

LCM of 457,2638 is 1205566 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5990,5105

GCF of Fractions 5990/457,5105/2638 is 5/1205566

5 5990, 5105
1198, 1021

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 5990,5105 By Matching Biggest Common Factor Method

Greatest Common Factor of 5990,5105 By Matching Biggest Common Factor Method

Factors of 5990

List of positive integer factors of 5990 that divides 5990 without a remainder.

1,2,5,10,599,1198,2995,5990

Factors of 5105

List of positive integer factors of 5105 that divides 5105 without a remainder.

1,5,1021,5105

Greatest Common Factor

We found the factors 5990,5105 . The biggest common factor number is the GCF number.
So the greatest common factor 5990,5105 is 5.

Lets's calculate LCM of 457,2638

Given numbers has no common factors except 1. So, there LCM is their product i.e 1205566

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/1205566

Therefore, the GCF of Fractions 5990/457,5105/2638 is 5/1205566

Least Common Multiple of 457,2638 with GCF Formula

Least Common Multiple of 457,2638 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 457,2638 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(457,2638) = 1

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

GCF(457,2638) x common factors =1 x 1 = 1

LCM(457,2638) = ( 457 × 2638 ) / 1

LCM(457,2638) = 1205566 / 1

LCM(457,2638) = 1205566


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 5990/457, 5105/2638

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 5990/457, 5105/2638?

Answer: GCF of Numerators as per given numbers 5990/457, 5105/2638 is

GCF of Numerators i.e. for 5990,5105 is 5

LCM of denominators i.e. for 457,2638 is 1205566.

Thus, GCF of Fractions is 5/1205566.Finally, GCF of Fractions for 5990/457, 5105/2638 is 5/1205566.