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 602, 657, 689, 450 i.e. 1 largest integer that divides all the numbers equally.
GCD of 602, 657, 689, 450 is 1
GCD(602, 657, 689, 450) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 602, 657, 689, 450 is 1
GCD(602, 657, 689, 450) = 1
Given Input numbers are 602, 657, 689, 450
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 602
List of positive integer divisors of 602 that divides 602 without a remainder.
1, 2, 7, 14, 43, 86, 301, 602
Divisors of 657
List of positive integer divisors of 657 that divides 657 without a remainder.
1, 3, 9, 73, 219, 657
Divisors of 689
List of positive integer divisors of 689 that divides 689 without a remainder.
1, 13, 53, 689
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 602, 657, 689, 450 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 602, 657, 689, 450 is 1.
Therefore, GCD of numbers 602, 657, 689, 450 is 1
Given Input Data is 602, 657, 689, 450
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 602 is 2 x 7 x 43
Prime Factorization of 657 is 3 x 3 x 73
Prime Factorization of 689 is 13 x 53
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(602, 657) = 395514
GCD(602, 657) = ( 602 x 657 ) / 395514
GCD(602, 657) = 395514 / 395514
GCD(602, 657) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 689
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 689) = 689
GCD(1, 689) = ( 1 x 689 ) / 689
GCD(1, 689) = 689 / 689
GCD(1, 689) = 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 602, 657, 689, 450 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 602, 657, 689, 450?
GCD of 602, 657, 689, 450 is 1
2. Where do I get the detailed procedure to find GCD of 602, 657, 689, 450?
You can find a detailed procedure to find GCD of 602, 657, 689, 450 on our page.
3. How to find GCD of 602, 657, 689, 450 on a calculator?
You can find the GCD of 602, 657, 689, 450 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.