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 137, 402, 256, 589 i.e. 1 largest integer that divides all the numbers equally.
GCD of 137, 402, 256, 589 is 1
GCD(137, 402, 256, 589) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 137, 402, 256, 589 is 1
GCD(137, 402, 256, 589) = 1
Given Input numbers are 137, 402, 256, 589
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 137
List of positive integer divisors of 137 that divides 137 without a remainder.
1, 137
Divisors of 402
List of positive integer divisors of 402 that divides 402 without a remainder.
1, 2, 3, 6, 67, 134, 201, 402
Divisors of 256
List of positive integer divisors of 256 that divides 256 without a remainder.
1, 2, 4, 8, 16, 32, 64, 128, 256
Divisors of 589
List of positive integer divisors of 589 that divides 589 without a remainder.
1, 19, 31, 589
Greatest Common Divisior
We found the divisors of 137, 402, 256, 589 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 137, 402, 256, 589 is 1.
Therefore, GCD of numbers 137, 402, 256, 589 is 1
Given Input Data is 137, 402, 256, 589
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 137 is 137
Prime Factorization of 402 is 2 x 3 x 67
Prime Factorization of 256 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2
Prime Factorization of 589 is 19 x 31
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(137, 402) = 55074
GCD(137, 402) = ( 137 x 402 ) / 55074
GCD(137, 402) = 55074 / 55074
GCD(137, 402) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 256
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 256) = 256
GCD(1, 256) = ( 1 x 256 ) / 256
GCD(1, 256) = 256 / 256
GCD(1, 256) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 589
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 589) = 589
GCD(1, 589) = ( 1 x 589 ) / 589
GCD(1, 589) = 589 / 589
GCD(1, 589) = 1
GCD of 137, 402, 256, 589 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 137, 402, 256, 589?
GCD of 137, 402, 256, 589 is 1
2. Where do I get the detailed procedure to find GCD of 137, 402, 256, 589?
You can find a detailed procedure to find GCD of 137, 402, 256, 589 on our page.
3. How to find GCD of 137, 402, 256, 589 on a calculator?
You can find the GCD of 137, 402, 256, 589 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.