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 465, 621, 431, 536 i.e. 1 largest integer that divides all the numbers equally.
GCD of 465, 621, 431, 536 is 1
GCD(465, 621, 431, 536) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 465, 621, 431, 536 is 1
GCD(465, 621, 431, 536) = 1
Given Input numbers are 465, 621, 431, 536
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 465
List of positive integer divisors of 465 that divides 465 without a remainder.
1, 3, 5, 15, 31, 93, 155, 465
Divisors of 621
List of positive integer divisors of 621 that divides 621 without a remainder.
1, 3, 9, 23, 27, 69, 207, 621
Divisors of 431
List of positive integer divisors of 431 that divides 431 without a remainder.
1, 431
Divisors of 536
List of positive integer divisors of 536 that divides 536 without a remainder.
1, 2, 4, 8, 67, 134, 268, 536
Greatest Common Divisior
We found the divisors of 465, 621, 431, 536 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 465, 621, 431, 536 is 1.
Therefore, GCD of numbers 465, 621, 431, 536 is 1
Given Input Data is 465, 621, 431, 536
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 465 is 3 x 5 x 31
Prime Factorization of 621 is 3 x 3 x 3 x 23
Prime Factorization of 431 is 431
Prime Factorization of 536 is 2 x 2 x 2 x 67
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(465, 621) = 96255
GCD(465, 621) = ( 465 x 621 ) / 96255
GCD(465, 621) = 288765 / 96255
GCD(465, 621) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 431
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 431) = 1293
GCD(3, 431) = ( 3 x 431 ) / 1293
GCD(3, 431) = 1293 / 1293
GCD(3, 431) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 536
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 536) = 536
GCD(1, 536) = ( 1 x 536 ) / 536
GCD(1, 536) = 536 / 536
GCD(1, 536) = 1
GCD of 465, 621, 431, 536 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 465, 621, 431, 536?
GCD of 465, 621, 431, 536 is 1
2. Where do I get the detailed procedure to find GCD of 465, 621, 431, 536?
You can find a detailed procedure to find GCD of 465, 621, 431, 536 on our page.
3. How to find GCD of 465, 621, 431, 536 on a calculator?
You can find the GCD of 465, 621, 431, 536 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.