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 170, 122, 655, 587 i.e. 1 largest integer that divides all the numbers equally.
GCD of 170, 122, 655, 587 is 1
GCD(170, 122, 655, 587) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 170, 122, 655, 587 is 1
GCD(170, 122, 655, 587) = 1
Given Input numbers are 170, 122, 655, 587
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 170
List of positive integer divisors of 170 that divides 170 without a remainder.
1, 2, 5, 10, 17, 34, 85, 170
Divisors of 122
List of positive integer divisors of 122 that divides 122 without a remainder.
1, 2, 61, 122
Divisors of 655
List of positive integer divisors of 655 that divides 655 without a remainder.
1, 5, 131, 655
Divisors of 587
List of positive integer divisors of 587 that divides 587 without a remainder.
1, 587
Greatest Common Divisior
We found the divisors of 170, 122, 655, 587 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 170, 122, 655, 587 is 1.
Therefore, GCD of numbers 170, 122, 655, 587 is 1
Given Input Data is 170, 122, 655, 587
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 170 is 2 x 5 x 17
Prime Factorization of 122 is 2 x 61
Prime Factorization of 655 is 5 x 131
Prime Factorization of 587 is 587
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(170, 122) = 10370
GCD(170, 122) = ( 170 x 122 ) / 10370
GCD(170, 122) = 20740 / 10370
GCD(170, 122) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 655
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 655) = 1310
GCD(2, 655) = ( 2 x 655 ) / 1310
GCD(2, 655) = 1310 / 1310
GCD(2, 655) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 587
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 587) = 587
GCD(1, 587) = ( 1 x 587 ) / 587
GCD(1, 587) = 587 / 587
GCD(1, 587) = 1
GCD of 170, 122, 655, 587 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 170, 122, 655, 587?
GCD of 170, 122, 655, 587 is 1
2. Where do I get the detailed procedure to find GCD of 170, 122, 655, 587?
You can find a detailed procedure to find GCD of 170, 122, 655, 587 on our page.
3. How to find GCD of 170, 122, 655, 587 on a calculator?
You can find the GCD of 170, 122, 655, 587 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.