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 256, 534, 89, 137 i.e. 1 largest integer that divides all the numbers equally.
GCD of 256, 534, 89, 137 is 1
GCD(256, 534, 89, 137) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 256, 534, 89, 137 is 1
GCD(256, 534, 89, 137) = 1
Given Input numbers are 256, 534, 89, 137
To find the GCD of numbers using factoring list out all the divisors of each number
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 534
List of positive integer divisors of 534 that divides 534 without a remainder.
1, 2, 3, 6, 89, 178, 267, 534
Divisors of 89
List of positive integer divisors of 89 that divides 89 without a remainder.
1, 89
Divisors of 137
List of positive integer divisors of 137 that divides 137 without a remainder.
1, 137
Greatest Common Divisior
We found the divisors of 256, 534, 89, 137 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 256, 534, 89, 137 is 1.
Therefore, GCD of numbers 256, 534, 89, 137 is 1
Given Input Data is 256, 534, 89, 137
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 256 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2
Prime Factorization of 534 is 2 x 3 x 89
Prime Factorization of 89 is 89
Prime Factorization of 137 is 137
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(256, 534) = 68352
GCD(256, 534) = ( 256 x 534 ) / 68352
GCD(256, 534) = 136704 / 68352
GCD(256, 534) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 89
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 89) = 178
GCD(2, 89) = ( 2 x 89 ) / 178
GCD(2, 89) = 178 / 178
GCD(2, 89) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 137
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 137) = 137
GCD(1, 137) = ( 1 x 137 ) / 137
GCD(1, 137) = 137 / 137
GCD(1, 137) = 1
GCD of 256, 534, 89, 137 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 256, 534, 89, 137?
GCD of 256, 534, 89, 137 is 1
2. Where do I get the detailed procedure to find GCD of 256, 534, 89, 137?
You can find a detailed procedure to find GCD of 256, 534, 89, 137 on our page.
3. How to find GCD of 256, 534, 89, 137 on a calculator?
You can find the GCD of 256, 534, 89, 137 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.