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 358, 106, 84, 593 i.e. 1 largest integer that divides all the numbers equally.
GCD of 358, 106, 84, 593 is 1
GCD(358, 106, 84, 593) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 358, 106, 84, 593 is 1
GCD(358, 106, 84, 593) = 1
Given Input numbers are 358, 106, 84, 593
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 358
List of positive integer divisors of 358 that divides 358 without a remainder.
1, 2, 179, 358
Divisors of 106
List of positive integer divisors of 106 that divides 106 without a remainder.
1, 2, 53, 106
Divisors of 84
List of positive integer divisors of 84 that divides 84 without a remainder.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
Divisors of 593
List of positive integer divisors of 593 that divides 593 without a remainder.
1, 593
Greatest Common Divisior
We found the divisors of 358, 106, 84, 593 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 358, 106, 84, 593 is 1.
Therefore, GCD of numbers 358, 106, 84, 593 is 1
Given Input Data is 358, 106, 84, 593
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 358 is 2 x 179
Prime Factorization of 106 is 2 x 53
Prime Factorization of 84 is 2 x 2 x 3 x 7
Prime Factorization of 593 is 593
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(358, 106) = 18974
GCD(358, 106) = ( 358 x 106 ) / 18974
GCD(358, 106) = 37948 / 18974
GCD(358, 106) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 84
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 84) = 84
GCD(2, 84) = ( 2 x 84 ) / 84
GCD(2, 84) = 168 / 84
GCD(2, 84) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 593
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 593) = 1186
GCD(2, 593) = ( 2 x 593 ) / 1186
GCD(2, 593) = 1186 / 1186
GCD(2, 593) = 1
GCD of 358, 106, 84, 593 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 358, 106, 84, 593?
GCD of 358, 106, 84, 593 is 1
2. Where do I get the detailed procedure to find GCD of 358, 106, 84, 593?
You can find a detailed procedure to find GCD of 358, 106, 84, 593 on our page.
3. How to find GCD of 358, 106, 84, 593 on a calculator?
You can find the GCD of 358, 106, 84, 593 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.