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, 893, 20, 860 i.e. 1 largest integer that divides all the numbers equally.
GCD of 359, 893, 20, 860 is 1
GCD(359, 893, 20, 860) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 359, 893, 20, 860 is 1
GCD(359, 893, 20, 860) = 1
Given Input numbers are 359, 893, 20, 860
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 893
List of positive integer divisors of 893 that divides 893 without a remainder.
1, 19, 47, 893
Divisors of 20
List of positive integer divisors of 20 that divides 20 without a remainder.
1, 2, 4, 5, 10, 20
Divisors of 860
List of positive integer divisors of 860 that divides 860 without a remainder.
1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860
Greatest Common Divisior
We found the divisors of 359, 893, 20, 860 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 359, 893, 20, 860 is 1.
Therefore, GCD of numbers 359, 893, 20, 860 is 1
Given Input Data is 359, 893, 20, 860
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 359 is 359
Prime Factorization of 893 is 19 x 47
Prime Factorization of 20 is 2 x 2 x 5
Prime Factorization of 860 is 2 x 2 x 5 x 43
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, 893) = 320587
GCD(359, 893) = ( 359 x 893 ) / 320587
GCD(359, 893) = 320587 / 320587
GCD(359, 893) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 20
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 20) = 20
GCD(1, 20) = ( 1 x 20 ) / 20
GCD(1, 20) = 20 / 20
GCD(1, 20) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 860
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 860) = 860
GCD(1, 860) = ( 1 x 860 ) / 860
GCD(1, 860) = 860 / 860
GCD(1, 860) = 1
GCD of 359, 893, 20, 860 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 359, 893, 20, 860?
GCD of 359, 893, 20, 860 is 1
2. Where do I get the detailed procedure to find GCD of 359, 893, 20, 860?
You can find a detailed procedure to find GCD of 359, 893, 20, 860 on our page.
3. How to find GCD of 359, 893, 20, 860 on a calculator?
You can find the GCD of 359, 893, 20, 860 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.