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, 215, 69, 113 i.e. 1 largest integer that divides all the numbers equally.
GCD of 212, 215, 69, 113 is 1
GCD(212, 215, 69, 113) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 212, 215, 69, 113 is 1
GCD(212, 215, 69, 113) = 1
Given Input numbers are 212, 215, 69, 113
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 215
List of positive integer divisors of 215 that divides 215 without a remainder.
1, 5, 43, 215
Divisors of 69
List of positive integer divisors of 69 that divides 69 without a remainder.
1, 3, 23, 69
Divisors of 113
List of positive integer divisors of 113 that divides 113 without a remainder.
1, 113
Greatest Common Divisior
We found the divisors of 212, 215, 69, 113 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 212, 215, 69, 113 is 1.
Therefore, GCD of numbers 212, 215, 69, 113 is 1
Given Input Data is 212, 215, 69, 113
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 215 is 5 x 43
Prime Factorization of 69 is 3 x 23
Prime Factorization of 113 is 113
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, 215) = 45580
GCD(212, 215) = ( 212 x 215 ) / 45580
GCD(212, 215) = 45580 / 45580
GCD(212, 215) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 69
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 69) = 69
GCD(1, 69) = ( 1 x 69 ) / 69
GCD(1, 69) = 69 / 69
GCD(1, 69) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 113
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 113) = 113
GCD(1, 113) = ( 1 x 113 ) / 113
GCD(1, 113) = 113 / 113
GCD(1, 113) = 1
GCD of 212, 215, 69, 113 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 212, 215, 69, 113?
GCD of 212, 215, 69, 113 is 1
2. Where do I get the detailed procedure to find GCD of 212, 215, 69, 113?
You can find a detailed procedure to find GCD of 212, 215, 69, 113 on our page.
3. How to find GCD of 212, 215, 69, 113 on a calculator?
You can find the GCD of 212, 215, 69, 113 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.