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 920, 660, 212, 233 i.e. 1 largest integer that divides all the numbers equally.
GCD of 920, 660, 212, 233 is 1
GCD(920, 660, 212, 233) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 920, 660, 212, 233 is 1
GCD(920, 660, 212, 233) = 1
Given Input numbers are 920, 660, 212, 233
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 920
List of positive integer divisors of 920 that divides 920 without a remainder.
1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
Divisors of 660
List of positive integer divisors of 660 that divides 660 without a remainder.
1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
Divisors of 212
List of positive integer divisors of 212 that divides 212 without a remainder.
1, 2, 4, 53, 106, 212
Divisors of 233
List of positive integer divisors of 233 that divides 233 without a remainder.
1, 233
Greatest Common Divisior
We found the divisors of 920, 660, 212, 233 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 920, 660, 212, 233 is 1.
Therefore, GCD of numbers 920, 660, 212, 233 is 1
Given Input Data is 920, 660, 212, 233
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23
Prime Factorization of 660 is 2 x 2 x 3 x 5 x 11
Prime Factorization of 212 is 2 x 2 x 53
Prime Factorization of 233 is 233
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(920, 660) = 30360
GCD(920, 660) = ( 920 x 660 ) / 30360
GCD(920, 660) = 607200 / 30360
GCD(920, 660) = 20
Step2:
Here we consider the GCD from the above i.e. 20 as first number and the next as 212
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(20, 212) = 1060
GCD(20, 212) = ( 20 x 212 ) / 1060
GCD(20, 212) = 4240 / 1060
GCD(20, 212) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 233
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 233) = 932
GCD(4, 233) = ( 4 x 233 ) / 932
GCD(4, 233) = 932 / 932
GCD(4, 233) = 1
GCD of 920, 660, 212, 233 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 920, 660, 212, 233?
GCD of 920, 660, 212, 233 is 1
2. Where do I get the detailed procedure to find GCD of 920, 660, 212, 233?
You can find a detailed procedure to find GCD of 920, 660, 212, 233 on our page.
3. How to find GCD of 920, 660, 212, 233 on a calculator?
You can find the GCD of 920, 660, 212, 233 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.