Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 72, 836, 483, 540 i.e. 1 largest integer that divides all the numbers equally.
GCD of 72, 836, 483, 540 is 1
GCD(72, 836, 483, 540) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 72, 836, 483, 540 is 1
GCD(72, 836, 483, 540) = 1
Given Input numbers are 72, 836, 483, 540
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 72
List of positive integer divisors of 72 that divides 72 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
Divisors of 836
List of positive integer divisors of 836 that divides 836 without a remainder.
1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
Divisors of 483
List of positive integer divisors of 483 that divides 483 without a remainder.
1, 3, 7, 21, 23, 69, 161, 483
Divisors of 540
List of positive integer divisors of 540 that divides 540 without a remainder.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
Greatest Common Divisior
We found the divisors of 72, 836, 483, 540 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 72, 836, 483, 540 is 1.
Therefore, GCD of numbers 72, 836, 483, 540 is 1
Given Input Data is 72, 836, 483, 540
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3
Prime Factorization of 836 is 2 x 2 x 11 x 19
Prime Factorization of 483 is 3 x 7 x 23
Prime Factorization of 540 is 2 x 2 x 3 x 3 x 3 x 5
The above numbers do not have any common prime factor. So GCD is 1
Step1:
Let's calculate the GCD of first two numbers
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(72, 836) = 15048
GCD(72, 836) = ( 72 x 836 ) / 15048
GCD(72, 836) = 60192 / 15048
GCD(72, 836) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 483
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 483) = 1932
GCD(4, 483) = ( 4 x 483 ) / 1932
GCD(4, 483) = 1932 / 1932
GCD(4, 483) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 540
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 540) = 540
GCD(1, 540) = ( 1 x 540 ) / 540
GCD(1, 540) = 540 / 540
GCD(1, 540) = 1
GCD of 72, 836, 483, 540 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 72, 836, 483, 540?
GCD of 72, 836, 483, 540 is 1
2. Where do I get the detailed procedure to find GCD of 72, 836, 483, 540?
You can find a detailed procedure to find GCD of 72, 836, 483, 540 on our page.
3. How to find GCD of 72, 836, 483, 540 on a calculator?
You can find the GCD of 72, 836, 483, 540 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.