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, 836, 45, 402 i.e. 1 largest integer that divides all the numbers equally.
GCD of 212, 836, 45, 402 is 1
GCD(212, 836, 45, 402) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 212, 836, 45, 402 is 1
GCD(212, 836, 45, 402) = 1
Given Input numbers are 212, 836, 45, 402
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 836
List of positive integer divisors of 836 that divides 836 without a remainder.
1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
Divisors of 45
List of positive integer divisors of 45 that divides 45 without a remainder.
1, 3, 5, 9, 15, 45
Divisors of 402
List of positive integer divisors of 402 that divides 402 without a remainder.
1, 2, 3, 6, 67, 134, 201, 402
Greatest Common Divisior
We found the divisors of 212, 836, 45, 402 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 212, 836, 45, 402 is 1.
Therefore, GCD of numbers 212, 836, 45, 402 is 1
Given Input Data is 212, 836, 45, 402
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 836 is 2 x 2 x 11 x 19
Prime Factorization of 45 is 3 x 3 x 5
Prime Factorization of 402 is 2 x 3 x 67
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, 836) = 44308
GCD(212, 836) = ( 212 x 836 ) / 44308
GCD(212, 836) = 177232 / 44308
GCD(212, 836) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 45
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 45) = 180
GCD(4, 45) = ( 4 x 45 ) / 180
GCD(4, 45) = 180 / 180
GCD(4, 45) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 402
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 402) = 402
GCD(1, 402) = ( 1 x 402 ) / 402
GCD(1, 402) = 402 / 402
GCD(1, 402) = 1
GCD of 212, 836, 45, 402 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 212, 836, 45, 402?
GCD of 212, 836, 45, 402 is 1
2. Where do I get the detailed procedure to find GCD of 212, 836, 45, 402?
You can find a detailed procedure to find GCD of 212, 836, 45, 402 on our page.
3. How to find GCD of 212, 836, 45, 402 on a calculator?
You can find the GCD of 212, 836, 45, 402 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.