Greatest Common Factor of 5974/53, 5823/824

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5974/53, 5823/824

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 5974/53,5823/824

Given fractions are 5974/53,5823/824

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 5974,5823

Greatest Common Factor of Numerators i.e. GCF of 5974,5823 is 1 .

LCM of Denominators means LCM of 53,824 as per the given fractions.

LCM of 53,824 is 43672 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5974,5823

GCF of Fractions 5974/53,5823/824 is 1/43672

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

Greatest Common Factor of 5974,5823 By Matching Biggest Common Factor Method

Greatest Common Factor of 5974,5823 By Matching Biggest Common Factor Method

Factors of 5974

List of positive integer factors of 5974 that divides 5974 without a remainder.

1,2,29,58,103,206,2987,5974

Factors of 5823

List of positive integer factors of 5823 that divides 5823 without a remainder.

1,3,9,647,1941,5823

Greatest Common Factor

We found the factors 5974,5823 . The biggest common factor number is the GCF number.
So the greatest common factor 5974,5823 is 1.

Lets's calculate LCM of 53,824

Given numbers has no common factors except 1. So, there LCM is their product i.e 43672

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/43672

Therefore, the GCF of Fractions 5974/53,5823/824 is 1/43672

Least Common Multiple of 53,824 with GCF Formula

Least Common Multiple of 53,824 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 53,824 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,824) = 1

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

GCF(53,824) x common factors =1 x 1 = 1

LCM(53,824) = ( 53 × 824 ) / 1

LCM(53,824) = 43672 / 1

LCM(53,824) = 43672


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 5974/53, 5823/824

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 5974/53, 5823/824?

Answer: GCF of Numerators as per given numbers 5974/53, 5823/824 is

GCF of Numerators i.e. for 5974,5823 is 1

LCM of denominators i.e. for 53,824 is 43672.

Thus, GCF of Fractions is 1/43672.Finally, GCF of Fractions for 5974/53, 5823/824 is 1/43672.