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 15, 452, 620, 257 i.e. 1 largest integer that divides all the numbers equally.
GCD of 15, 452, 620, 257 is 1
GCD(15, 452, 620, 257) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 15, 452, 620, 257 is 1
GCD(15, 452, 620, 257) = 1
Given Input numbers are 15, 452, 620, 257
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 15
List of positive integer divisors of 15 that divides 15 without a remainder.
1, 3, 5, 15
Divisors of 452
List of positive integer divisors of 452 that divides 452 without a remainder.
1, 2, 4, 113, 226, 452
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 257
List of positive integer divisors of 257 that divides 257 without a remainder.
1, 257
Greatest Common Divisior
We found the divisors of 15, 452, 620, 257 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 15, 452, 620, 257 is 1.
Therefore, GCD of numbers 15, 452, 620, 257 is 1
Given Input Data is 15, 452, 620, 257
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 15 is 3 x 5
Prime Factorization of 452 is 2 x 2 x 113
Prime Factorization of 620 is 2 x 2 x 5 x 31
Prime Factorization of 257 is 257
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(15, 452) = 6780
GCD(15, 452) = ( 15 x 452 ) / 6780
GCD(15, 452) = 6780 / 6780
GCD(15, 452) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 620
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 620) = 620
GCD(1, 620) = ( 1 x 620 ) / 620
GCD(1, 620) = 620 / 620
GCD(1, 620) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 257
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 257) = 257
GCD(1, 257) = ( 1 x 257 ) / 257
GCD(1, 257) = 257 / 257
GCD(1, 257) = 1
GCD of 15, 452, 620, 257 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 15, 452, 620, 257?
GCD of 15, 452, 620, 257 is 1
2. Where do I get the detailed procedure to find GCD of 15, 452, 620, 257?
You can find a detailed procedure to find GCD of 15, 452, 620, 257 on our page.
3. How to find GCD of 15, 452, 620, 257 on a calculator?
You can find the GCD of 15, 452, 620, 257 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.