Greatest Common Factor of 5829/381, 6034/5440

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5829/381, 6034/5440

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 5829/381,6034/5440

Given fractions are 5829/381,6034/5440

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 5829,6034

Greatest Common Factor of Numerators i.e. GCF of 5829,6034 is 1 .

LCM of Denominators means LCM of 381,5440 as per the given fractions.

LCM of 381,5440 is 2072640 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5829,6034

GCF of Fractions 5829/381,6034/5440 is 1/2072640

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

Greatest Common Factor of 5829,6034 By Matching Biggest Common Factor Method

Greatest Common Factor of 5829,6034 By Matching Biggest Common Factor Method

Factors of 5829

List of positive integer factors of 5829 that divides 5829 without a remainder.

1,3,29,67,87,201,1943,5829

Factors of 6034

List of positive integer factors of 6034 that divides 6034 without a remainder.

1,2,7,14,431,862,3017,6034

Greatest Common Factor

We found the factors 5829,6034 . The biggest common factor number is the GCF number.
So the greatest common factor 5829,6034 is 1.

Lets's calculate LCM of 381,5440

Given numbers has no common factors except 1. So, there LCM is their product i.e 2072640

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2072640

Therefore, the GCF of Fractions 5829/381,6034/5440 is 1/2072640

Least Common Multiple of 381,5440 with GCF Formula

Least Common Multiple of 381,5440 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 381,5440 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(381,5440) = 1

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

GCF(381,5440) x common factors =1 x 1 = 1

LCM(381,5440) = ( 381 × 5440 ) / 1

LCM(381,5440) = 2072640 / 1

LCM(381,5440) = 2072640


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 5829/381, 6034/5440

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 5829/381, 6034/5440?

Answer: GCF of Numerators as per given numbers 5829/381, 6034/5440 is

GCF of Numerators i.e. for 5829,6034 is 1

LCM of denominators i.e. for 381,5440 is 2072640.

Thus, GCF of Fractions is 1/2072640.Finally, GCF of Fractions for 5829/381, 6034/5440 is 1/2072640.