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 552, 731, 59, 405 i.e. 1 largest integer that divides all the numbers equally.
GCD of 552, 731, 59, 405 is 1
GCD(552, 731, 59, 405) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 552, 731, 59, 405 is 1
GCD(552, 731, 59, 405) = 1
Given Input numbers are 552, 731, 59, 405
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 552
List of positive integer divisors of 552 that divides 552 without a remainder.
1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
Divisors of 731
List of positive integer divisors of 731 that divides 731 without a remainder.
1, 17, 43, 731
Divisors of 59
List of positive integer divisors of 59 that divides 59 without a remainder.
1, 59
Divisors of 405
List of positive integer divisors of 405 that divides 405 without a remainder.
1, 3, 5, 9, 15, 27, 45, 81, 135, 405
Greatest Common Divisior
We found the divisors of 552, 731, 59, 405 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 552, 731, 59, 405 is 1.
Therefore, GCD of numbers 552, 731, 59, 405 is 1
Given Input Data is 552, 731, 59, 405
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 552 is 2 x 2 x 2 x 3 x 23
Prime Factorization of 731 is 17 x 43
Prime Factorization of 59 is 59
Prime Factorization of 405 is 3 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(552, 731) = 403512
GCD(552, 731) = ( 552 x 731 ) / 403512
GCD(552, 731) = 403512 / 403512
GCD(552, 731) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 59
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 59) = 59
GCD(1, 59) = ( 1 x 59 ) / 59
GCD(1, 59) = 59 / 59
GCD(1, 59) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 405
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 405) = 405
GCD(1, 405) = ( 1 x 405 ) / 405
GCD(1, 405) = 405 / 405
GCD(1, 405) = 1
GCD of 552, 731, 59, 405 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 552, 731, 59, 405?
GCD of 552, 731, 59, 405 is 1
2. Where do I get the detailed procedure to find GCD of 552, 731, 59, 405?
You can find a detailed procedure to find GCD of 552, 731, 59, 405 on our page.
3. How to find GCD of 552, 731, 59, 405 on a calculator?
You can find the GCD of 552, 731, 59, 405 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.