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 633, 582, 567, 172 i.e. 1 largest integer that divides all the numbers equally.
GCD of 633, 582, 567, 172 is 1
GCD(633, 582, 567, 172) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 633, 582, 567, 172 is 1
GCD(633, 582, 567, 172) = 1
Given Input numbers are 633, 582, 567, 172
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 633
List of positive integer divisors of 633 that divides 633 without a remainder.
1, 3, 211, 633
Divisors of 582
List of positive integer divisors of 582 that divides 582 without a remainder.
1, 2, 3, 6, 97, 194, 291, 582
Divisors of 567
List of positive integer divisors of 567 that divides 567 without a remainder.
1, 3, 7, 9, 21, 27, 63, 81, 189, 567
Divisors of 172
List of positive integer divisors of 172 that divides 172 without a remainder.
1, 2, 4, 43, 86, 172
Greatest Common Divisior
We found the divisors of 633, 582, 567, 172 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 633, 582, 567, 172 is 1.
Therefore, GCD of numbers 633, 582, 567, 172 is 1
Given Input Data is 633, 582, 567, 172
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 633 is 3 x 211
Prime Factorization of 582 is 2 x 3 x 97
Prime Factorization of 567 is 3 x 3 x 3 x 3 x 7
Prime Factorization of 172 is 2 x 2 x 43
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(633, 582) = 122802
GCD(633, 582) = ( 633 x 582 ) / 122802
GCD(633, 582) = 368406 / 122802
GCD(633, 582) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 567
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 567) = 567
GCD(3, 567) = ( 3 x 567 ) / 567
GCD(3, 567) = 1701 / 567
GCD(3, 567) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 172
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 172) = 516
GCD(3, 172) = ( 3 x 172 ) / 516
GCD(3, 172) = 516 / 516
GCD(3, 172) = 1
GCD of 633, 582, 567, 172 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 633, 582, 567, 172?
GCD of 633, 582, 567, 172 is 1
2. Where do I get the detailed procedure to find GCD of 633, 582, 567, 172?
You can find a detailed procedure to find GCD of 633, 582, 567, 172 on our page.
3. How to find GCD of 633, 582, 567, 172 on a calculator?
You can find the GCD of 633, 582, 567, 172 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.