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 359, 642, 570, 915 i.e. 1 largest integer that divides all the numbers equally.
GCD of 359, 642, 570, 915 is 1
GCD(359, 642, 570, 915) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 359, 642, 570, 915 is 1
GCD(359, 642, 570, 915) = 1
Given Input numbers are 359, 642, 570, 915
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 359
List of positive integer divisors of 359 that divides 359 without a remainder.
1, 359
Divisors of 642
List of positive integer divisors of 642 that divides 642 without a remainder.
1, 2, 3, 6, 107, 214, 321, 642
Divisors of 570
List of positive integer divisors of 570 that divides 570 without a remainder.
1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570
Divisors of 915
List of positive integer divisors of 915 that divides 915 without a remainder.
1, 3, 5, 15, 61, 183, 305, 915
Greatest Common Divisior
We found the divisors of 359, 642, 570, 915 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 359, 642, 570, 915 is 1.
Therefore, GCD of numbers 359, 642, 570, 915 is 1
Given Input Data is 359, 642, 570, 915
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 359 is 359
Prime Factorization of 642 is 2 x 3 x 107
Prime Factorization of 570 is 2 x 3 x 5 x 19
Prime Factorization of 915 is 3 x 5 x 61
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(359, 642) = 230478
GCD(359, 642) = ( 359 x 642 ) / 230478
GCD(359, 642) = 230478 / 230478
GCD(359, 642) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 570
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 570) = 570
GCD(1, 570) = ( 1 x 570 ) / 570
GCD(1, 570) = 570 / 570
GCD(1, 570) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 915
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 915) = 915
GCD(1, 915) = ( 1 x 915 ) / 915
GCD(1, 915) = 915 / 915
GCD(1, 915) = 1
GCD of 359, 642, 570, 915 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 359, 642, 570, 915?
GCD of 359, 642, 570, 915 is 1
2. Where do I get the detailed procedure to find GCD of 359, 642, 570, 915?
You can find a detailed procedure to find GCD of 359, 642, 570, 915 on our page.
3. How to find GCD of 359, 642, 570, 915 on a calculator?
You can find the GCD of 359, 642, 570, 915 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.