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, 263, 492, 561 i.e. 1 largest integer that divides all the numbers equally.
GCD of 212, 263, 492, 561 is 1
GCD(212, 263, 492, 561) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 212, 263, 492, 561 is 1
GCD(212, 263, 492, 561) = 1
Given Input numbers are 212, 263, 492, 561
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 263
List of positive integer divisors of 263 that divides 263 without a remainder.
1, 263
Divisors of 492
List of positive integer divisors of 492 that divides 492 without a remainder.
1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
Divisors of 561
List of positive integer divisors of 561 that divides 561 without a remainder.
1, 3, 11, 17, 33, 51, 187, 561
Greatest Common Divisior
We found the divisors of 212, 263, 492, 561 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 212, 263, 492, 561 is 1.
Therefore, GCD of numbers 212, 263, 492, 561 is 1
Given Input Data is 212, 263, 492, 561
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 263 is 263
Prime Factorization of 492 is 2 x 2 x 3 x 41
Prime Factorization of 561 is 3 x 11 x 17
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, 263) = 55756
GCD(212, 263) = ( 212 x 263 ) / 55756
GCD(212, 263) = 55756 / 55756
GCD(212, 263) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 492
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 492) = 492
GCD(1, 492) = ( 1 x 492 ) / 492
GCD(1, 492) = 492 / 492
GCD(1, 492) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 561
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 561) = 561
GCD(1, 561) = ( 1 x 561 ) / 561
GCD(1, 561) = 561 / 561
GCD(1, 561) = 1
GCD of 212, 263, 492, 561 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 212, 263, 492, 561?
GCD of 212, 263, 492, 561 is 1
2. Where do I get the detailed procedure to find GCD of 212, 263, 492, 561?
You can find a detailed procedure to find GCD of 212, 263, 492, 561 on our page.
3. How to find GCD of 212, 263, 492, 561 on a calculator?
You can find the GCD of 212, 263, 492, 561 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.