Greatest Common Factor of 5439/505, 9363/4825

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5439/505, 9363/4825

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 5439/505,9363/4825

Given fractions are 5439/505,9363/4825

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 5439,9363

Greatest Common Factor of Numerators i.e. GCF of 5439,9363 is 3 .

LCM of Denominators means LCM of 505,4825 as per the given fractions.

LCM of 505,4825 is 487325 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5439,9363

GCF of Fractions 5439/505,9363/4825 is 3/487325

3 5439, 9363
1813, 3121

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 5439,9363 By Matching Biggest Common Factor Method

Greatest Common Factor of 5439,9363 By Matching Biggest Common Factor Method

Factors of 5439

List of positive integer factors of 5439 that divides 5439 without a remainder.

1,3,7,21,37,49,111,147,259,777,1813,5439

Factors of 9363

List of positive integer factors of 9363 that divides 9363 without a remainder.

1,3,3121,9363

Greatest Common Factor

We found the factors 5439,9363 . The biggest common factor number is the GCF number.
So the greatest common factor 5439,9363 is 3.

Lets's calculate LCM of 505,4825

5 505, 4825
101, 965

∴ So the LCM of the given numbers is 5 x 101 x 965 = 487325

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/487325

Therefore, the GCF of Fractions 5439/505,9363/4825 is 3/487325

Least Common Multiple of 505,4825 with GCF Formula

Least Common Multiple of 505,4825 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 505,4825 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(505,4825) = 5

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

GCF(505,4825) x common factors =5 x 1 = 5

LCM(505,4825) = ( 505 × 4825 ) / 5

LCM(505,4825) = 2436625 / 5

LCM(505,4825) = 487325


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 5439/505, 9363/4825

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 5439/505, 9363/4825?

Answer: GCF of Numerators as per given numbers 5439/505, 9363/4825 is

GCF of Numerators i.e. for 5439,9363 is 3

LCM of denominators i.e. for 505,4825 is 487325.

Thus, GCF of Fractions is 3/487325.Finally, GCF of Fractions for 5439/505, 9363/4825 is 3/487325.