GCD of 933, 870, 20 Calculator
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 933, 870, 20 i.e. 1 largest integer that divides all the numbers equally.
GCD of 933, 870, 20 is 1
GCD(933, 870, 20) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 933, 870, 20 is 1
GCD(933, 870, 20) = 1
GCDof 933,870,20 is 1
Given Input numbers are 933, 870, 20
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 933
List of positive integer divisors of 933 that divides 933 without a remainder.
1, 3, 311, 933
Divisors of 870
List of positive integer divisors of 870 that divides 870 without a remainder.
1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
Divisors of 20
List of positive integer divisors of 20 that divides 20 without a remainder.
1, 2, 4, 5, 10, 20
Greatest Common Divisior
We found the divisors of 933, 870, 20 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 933, 870, 20 is 1.
Therefore, GCD of numbers 933, 870, 20 is 1
Given Input Data is 933, 870, 20
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 933 is 3 x 311
Prime Factorization of 870 is 2 x 3 x 5 x 29
Prime Factorization of 20 is 2 x 2 x 5
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 933, 870, 20 using LCM Formula
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(933, 870) = 270570
GCD(933, 870) = ( 933 x 870 ) / 270570
GCD(933, 870) = 811710 / 270570
GCD(933, 870) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 20
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 20) = 60
GCD(3, 20) = ( 3 x 20 ) / 60
GCD(3, 20) = 60 / 60
GCD(3, 20) = 1
GCD of 933, 870, 20 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
FAQs on GCD of numbers 933, 870, 20
1. What is the GCD of 933, 870, 20?
GCD of 933, 870, 20 is 1
2. Where do I get the detailed procedure to find GCD of 933, 870, 20?
You can find a detailed procedure to find GCD of 933, 870, 20 on our page.
3. How to find GCD of 933, 870, 20 on a calculator?
You can find the GCD of 933, 870, 20 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.