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, 907, 453, 420 i.e. 1 largest integer that divides all the numbers equally.
GCD of 212, 907, 453, 420 is 1
GCD(212, 907, 453, 420) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 212, 907, 453, 420 is 1
GCD(212, 907, 453, 420) = 1
Given Input numbers are 212, 907, 453, 420
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 907
List of positive integer divisors of 907 that divides 907 without a remainder.
1, 907
Divisors of 453
List of positive integer divisors of 453 that divides 453 without a remainder.
1, 3, 151, 453
Divisors of 420
List of positive integer divisors of 420 that divides 420 without a remainder.
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
Greatest Common Divisior
We found the divisors of 212, 907, 453, 420 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 212, 907, 453, 420 is 1.
Therefore, GCD of numbers 212, 907, 453, 420 is 1
Given Input Data is 212, 907, 453, 420
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 907 is 907
Prime Factorization of 453 is 3 x 151
Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7
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, 907) = 192284
GCD(212, 907) = ( 212 x 907 ) / 192284
GCD(212, 907) = 192284 / 192284
GCD(212, 907) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 453
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 453) = 453
GCD(1, 453) = ( 1 x 453 ) / 453
GCD(1, 453) = 453 / 453
GCD(1, 453) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 420
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 420) = 420
GCD(1, 420) = ( 1 x 420 ) / 420
GCD(1, 420) = 420 / 420
GCD(1, 420) = 1
GCD of 212, 907, 453, 420 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 212, 907, 453, 420?
GCD of 212, 907, 453, 420 is 1
2. Where do I get the detailed procedure to find GCD of 212, 907, 453, 420?
You can find a detailed procedure to find GCD of 212, 907, 453, 420 on our page.
3. How to find GCD of 212, 907, 453, 420 on a calculator?
You can find the GCD of 212, 907, 453, 420 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.