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 697, 460, 745, 636 i.e. 1 largest integer that divides all the numbers equally.
GCD of 697, 460, 745, 636 is 1
GCD(697, 460, 745, 636) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 697, 460, 745, 636 is 1
GCD(697, 460, 745, 636) = 1
Given Input numbers are 697, 460, 745, 636
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 697
List of positive integer divisors of 697 that divides 697 without a remainder.
1, 17, 41, 697
Divisors of 460
List of positive integer divisors of 460 that divides 460 without a remainder.
1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
Divisors of 745
List of positive integer divisors of 745 that divides 745 without a remainder.
1, 5, 149, 745
Divisors of 636
List of positive integer divisors of 636 that divides 636 without a remainder.
1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636
Greatest Common Divisior
We found the divisors of 697, 460, 745, 636 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 697, 460, 745, 636 is 1.
Therefore, GCD of numbers 697, 460, 745, 636 is 1
Given Input Data is 697, 460, 745, 636
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 697 is 17 x 41
Prime Factorization of 460 is 2 x 2 x 5 x 23
Prime Factorization of 745 is 5 x 149
Prime Factorization of 636 is 2 x 2 x 3 x 53
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(697, 460) = 320620
GCD(697, 460) = ( 697 x 460 ) / 320620
GCD(697, 460) = 320620 / 320620
GCD(697, 460) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 745
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 745) = 745
GCD(1, 745) = ( 1 x 745 ) / 745
GCD(1, 745) = 745 / 745
GCD(1, 745) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 636
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 636) = 636
GCD(1, 636) = ( 1 x 636 ) / 636
GCD(1, 636) = 636 / 636
GCD(1, 636) = 1
GCD of 697, 460, 745, 636 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 697, 460, 745, 636?
GCD of 697, 460, 745, 636 is 1
2. Where do I get the detailed procedure to find GCD of 697, 460, 745, 636?
You can find a detailed procedure to find GCD of 697, 460, 745, 636 on our page.
3. How to find GCD of 697, 460, 745, 636 on a calculator?
You can find the GCD of 697, 460, 745, 636 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.