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 687, 622, 724, 450 i.e. 1 largest integer that divides all the numbers equally.
GCD of 687, 622, 724, 450 is 1
GCD(687, 622, 724, 450) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 687, 622, 724, 450 is 1
GCD(687, 622, 724, 450) = 1
Given Input numbers are 687, 622, 724, 450
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 687
List of positive integer divisors of 687 that divides 687 without a remainder.
1, 3, 229, 687
Divisors of 622
List of positive integer divisors of 622 that divides 622 without a remainder.
1, 2, 311, 622
Divisors of 724
List of positive integer divisors of 724 that divides 724 without a remainder.
1, 2, 4, 181, 362, 724
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
Greatest Common Divisior
We found the divisors of 687, 622, 724, 450 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 687, 622, 724, 450 is 1.
Therefore, GCD of numbers 687, 622, 724, 450 is 1
Given Input Data is 687, 622, 724, 450
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 687 is 3 x 229
Prime Factorization of 622 is 2 x 311
Prime Factorization of 724 is 2 x 2 x 181
Prime Factorization of 450 is 2 x 3 x 3 x 5 x 5
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(687, 622) = 427314
GCD(687, 622) = ( 687 x 622 ) / 427314
GCD(687, 622) = 427314 / 427314
GCD(687, 622) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 724
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 724) = 724
GCD(1, 724) = ( 1 x 724 ) / 724
GCD(1, 724) = 724 / 724
GCD(1, 724) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 450
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 450) = 450
GCD(1, 450) = ( 1 x 450 ) / 450
GCD(1, 450) = 450 / 450
GCD(1, 450) = 1
GCD of 687, 622, 724, 450 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 687, 622, 724, 450?
GCD of 687, 622, 724, 450 is 1
2. Where do I get the detailed procedure to find GCD of 687, 622, 724, 450?
You can find a detailed procedure to find GCD of 687, 622, 724, 450 on our page.
3. How to find GCD of 687, 622, 724, 450 on a calculator?
You can find the GCD of 687, 622, 724, 450 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.