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 552, 622, 300, 211 i.e. 1 largest integer that divides all the numbers equally.
GCD of 552, 622, 300, 211 is 1
GCD(552, 622, 300, 211) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 552, 622, 300, 211 is 1
GCD(552, 622, 300, 211) = 1
Given Input numbers are 552, 622, 300, 211
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 552
List of positive integer divisors of 552 that divides 552 without a remainder.
1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
Divisors of 622
List of positive integer divisors of 622 that divides 622 without a remainder.
1, 2, 311, 622
Divisors of 300
List of positive integer divisors of 300 that divides 300 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
Divisors of 211
List of positive integer divisors of 211 that divides 211 without a remainder.
1, 211
Greatest Common Divisior
We found the divisors of 552, 622, 300, 211 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 552, 622, 300, 211 is 1.
Therefore, GCD of numbers 552, 622, 300, 211 is 1
Given Input Data is 552, 622, 300, 211
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 552 is 2 x 2 x 2 x 3 x 23
Prime Factorization of 622 is 2 x 311
Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5
Prime Factorization of 211 is 211
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(552, 622) = 171672
GCD(552, 622) = ( 552 x 622 ) / 171672
GCD(552, 622) = 343344 / 171672
GCD(552, 622) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 300
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 300) = 300
GCD(2, 300) = ( 2 x 300 ) / 300
GCD(2, 300) = 600 / 300
GCD(2, 300) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 211
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 211) = 422
GCD(2, 211) = ( 2 x 211 ) / 422
GCD(2, 211) = 422 / 422
GCD(2, 211) = 1
GCD of 552, 622, 300, 211 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 552, 622, 300, 211?
GCD of 552, 622, 300, 211 is 1
2. Where do I get the detailed procedure to find GCD of 552, 622, 300, 211?
You can find a detailed procedure to find GCD of 552, 622, 300, 211 on our page.
3. How to find GCD of 552, 622, 300, 211 on a calculator?
You can find the GCD of 552, 622, 300, 211 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.