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 212, 184, 69, 220 i.e. 1 largest integer that divides all the numbers equally.
GCD of 212, 184, 69, 220 is 1
GCD(212, 184, 69, 220) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 212, 184, 69, 220 is 1
GCD(212, 184, 69, 220) = 1
Given Input numbers are 212, 184, 69, 220
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 212
List of positive integer divisors of 212 that divides 212 without a remainder.
1, 2, 4, 53, 106, 212
Divisors of 184
List of positive integer divisors of 184 that divides 184 without a remainder.
1, 2, 4, 8, 23, 46, 92, 184
Divisors of 69
List of positive integer divisors of 69 that divides 69 without a remainder.
1, 3, 23, 69
Divisors of 220
List of positive integer divisors of 220 that divides 220 without a remainder.
1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
Greatest Common Divisior
We found the divisors of 212, 184, 69, 220 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 212, 184, 69, 220 is 1.
Therefore, GCD of numbers 212, 184, 69, 220 is 1
Given Input Data is 212, 184, 69, 220
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 212 is 2 x 2 x 53
Prime Factorization of 184 is 2 x 2 x 2 x 23
Prime Factorization of 69 is 3 x 23
Prime Factorization of 220 is 2 x 2 x 5 x 11
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(212, 184) = 9752
GCD(212, 184) = ( 212 x 184 ) / 9752
GCD(212, 184) = 39008 / 9752
GCD(212, 184) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 69
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 69) = 276
GCD(4, 69) = ( 4 x 69 ) / 276
GCD(4, 69) = 276 / 276
GCD(4, 69) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 220
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 220) = 220
GCD(1, 220) = ( 1 x 220 ) / 220
GCD(1, 220) = 220 / 220
GCD(1, 220) = 1
GCD of 212, 184, 69, 220 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 212, 184, 69, 220?
GCD of 212, 184, 69, 220 is 1
2. Where do I get the detailed procedure to find GCD of 212, 184, 69, 220?
You can find a detailed procedure to find GCD of 212, 184, 69, 220 on our page.
3. How to find GCD of 212, 184, 69, 220 on a calculator?
You can find the GCD of 212, 184, 69, 220 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.