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 83, 477, 553, 936 i.e. 1 largest integer that divides all the numbers equally.
GCD of 83, 477, 553, 936 is 1
GCD(83, 477, 553, 936) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 83, 477, 553, 936 is 1
GCD(83, 477, 553, 936) = 1
Given Input numbers are 83, 477, 553, 936
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 83
List of positive integer divisors of 83 that divides 83 without a remainder.
1, 83
Divisors of 477
List of positive integer divisors of 477 that divides 477 without a remainder.
1, 3, 9, 53, 159, 477
Divisors of 553
List of positive integer divisors of 553 that divides 553 without a remainder.
1, 7, 79, 553
Divisors of 936
List of positive integer divisors of 936 that divides 936 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
Greatest Common Divisior
We found the divisors of 83, 477, 553, 936 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 83, 477, 553, 936 is 1.
Therefore, GCD of numbers 83, 477, 553, 936 is 1
Given Input Data is 83, 477, 553, 936
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 83 is 83
Prime Factorization of 477 is 3 x 3 x 53
Prime Factorization of 553 is 7 x 79
Prime Factorization of 936 is 2 x 2 x 2 x 3 x 3 x 13
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(83, 477) = 39591
GCD(83, 477) = ( 83 x 477 ) / 39591
GCD(83, 477) = 39591 / 39591
GCD(83, 477) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 553
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 553) = 553
GCD(1, 553) = ( 1 x 553 ) / 553
GCD(1, 553) = 553 / 553
GCD(1, 553) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 936
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 936) = 936
GCD(1, 936) = ( 1 x 936 ) / 936
GCD(1, 936) = 936 / 936
GCD(1, 936) = 1
GCD of 83, 477, 553, 936 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 83, 477, 553, 936?
GCD of 83, 477, 553, 936 is 1
2. Where do I get the detailed procedure to find GCD of 83, 477, 553, 936?
You can find a detailed procedure to find GCD of 83, 477, 553, 936 on our page.
3. How to find GCD of 83, 477, 553, 936 on a calculator?
You can find the GCD of 83, 477, 553, 936 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.