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 450, 937, 675, 211 i.e. 1 largest integer that divides all the numbers equally.
GCD of 450, 937, 675, 211 is 1
GCD(450, 937, 675, 211) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 450, 937, 675, 211 is 1
GCD(450, 937, 675, 211) = 1
Given Input numbers are 450, 937, 675, 211
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 450
List of positive integer divisors of 450 that divides 450 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
Divisors of 937
List of positive integer divisors of 937 that divides 937 without a remainder.
1, 937
Divisors of 675
List of positive integer divisors of 675 that divides 675 without a remainder.
1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
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 450, 937, 675, 211 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 450, 937, 675, 211 is 1.
Therefore, GCD of numbers 450, 937, 675, 211 is 1
Given Input Data is 450, 937, 675, 211
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 450 is 2 x 3 x 3 x 5 x 5
Prime Factorization of 937 is 937
Prime Factorization of 675 is 3 x 3 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(450, 937) = 421650
GCD(450, 937) = ( 450 x 937 ) / 421650
GCD(450, 937) = 421650 / 421650
GCD(450, 937) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 675
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 675) = 675
GCD(1, 675) = ( 1 x 675 ) / 675
GCD(1, 675) = 675 / 675
GCD(1, 675) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 211
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 211) = 211
GCD(1, 211) = ( 1 x 211 ) / 211
GCD(1, 211) = 211 / 211
GCD(1, 211) = 1
GCD of 450, 937, 675, 211 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 450, 937, 675, 211?
GCD of 450, 937, 675, 211 is 1
2. Where do I get the detailed procedure to find GCD of 450, 937, 675, 211?
You can find a detailed procedure to find GCD of 450, 937, 675, 211 on our page.
3. How to find GCD of 450, 937, 675, 211 on a calculator?
You can find the GCD of 450, 937, 675, 211 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.