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 620, 455, 31, 529 i.e. 1 largest integer that divides all the numbers equally.
GCD of 620, 455, 31, 529 is 1
GCD(620, 455, 31, 529) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 620, 455, 31, 529 is 1
GCD(620, 455, 31, 529) = 1
Given Input numbers are 620, 455, 31, 529
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 620
List of positive integer divisors of 620 that divides 620 without a remainder.
1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620
Divisors of 455
List of positive integer divisors of 455 that divides 455 without a remainder.
1, 5, 7, 13, 35, 65, 91, 455
Divisors of 31
List of positive integer divisors of 31 that divides 31 without a remainder.
1, 31
Divisors of 529
List of positive integer divisors of 529 that divides 529 without a remainder.
1, 23, 529
Greatest Common Divisior
We found the divisors of 620, 455, 31, 529 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 620, 455, 31, 529 is 1.
Therefore, GCD of numbers 620, 455, 31, 529 is 1
Given Input Data is 620, 455, 31, 529
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 620 is 2 x 2 x 5 x 31
Prime Factorization of 455 is 5 x 7 x 13
Prime Factorization of 31 is 31
Prime Factorization of 529 is 23 x 23
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(620, 455) = 56420
GCD(620, 455) = ( 620 x 455 ) / 56420
GCD(620, 455) = 282100 / 56420
GCD(620, 455) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 31
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 31) = 155
GCD(5, 31) = ( 5 x 31 ) / 155
GCD(5, 31) = 155 / 155
GCD(5, 31) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 529
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 529) = 529
GCD(1, 529) = ( 1 x 529 ) / 529
GCD(1, 529) = 529 / 529
GCD(1, 529) = 1
GCD of 620, 455, 31, 529 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 620, 455, 31, 529?
GCD of 620, 455, 31, 529 is 1
2. Where do I get the detailed procedure to find GCD of 620, 455, 31, 529?
You can find a detailed procedure to find GCD of 620, 455, 31, 529 on our page.
3. How to find GCD of 620, 455, 31, 529 on a calculator?
You can find the GCD of 620, 455, 31, 529 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.