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, 180, 93, 510 i.e. 1 largest integer that divides all the numbers equally.
GCD of 359, 180, 93, 510 is 1
GCD(359, 180, 93, 510) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 359, 180, 93, 510 is 1
GCD(359, 180, 93, 510) = 1
Given Input numbers are 359, 180, 93, 510
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 180
List of positive integer divisors of 180 that divides 180 without a remainder.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
Divisors of 93
List of positive integer divisors of 93 that divides 93 without a remainder.
1, 3, 31, 93
Divisors of 510
List of positive integer divisors of 510 that divides 510 without a remainder.
1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
Greatest Common Divisior
We found the divisors of 359, 180, 93, 510 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 359, 180, 93, 510 is 1.
Therefore, GCD of numbers 359, 180, 93, 510 is 1
Given Input Data is 359, 180, 93, 510
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 359 is 359
Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5
Prime Factorization of 93 is 3 x 31
Prime Factorization of 510 is 2 x 3 x 5 x 17
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, 180) = 64620
GCD(359, 180) = ( 359 x 180 ) / 64620
GCD(359, 180) = 64620 / 64620
GCD(359, 180) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 93
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 93) = 93
GCD(1, 93) = ( 1 x 93 ) / 93
GCD(1, 93) = 93 / 93
GCD(1, 93) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 510
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 510) = 510
GCD(1, 510) = ( 1 x 510 ) / 510
GCD(1, 510) = 510 / 510
GCD(1, 510) = 1
GCD of 359, 180, 93, 510 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 359, 180, 93, 510?
GCD of 359, 180, 93, 510 is 1
2. Where do I get the detailed procedure to find GCD of 359, 180, 93, 510?
You can find a detailed procedure to find GCD of 359, 180, 93, 510 on our page.
3. How to find GCD of 359, 180, 93, 510 on a calculator?
You can find the GCD of 359, 180, 93, 510 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.