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 690, 935, 72, 405 i.e. 1 largest integer that divides all the numbers equally.
GCD of 690, 935, 72, 405 is 1
GCD(690, 935, 72, 405) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 690, 935, 72, 405 is 1
GCD(690, 935, 72, 405) = 1
Given Input numbers are 690, 935, 72, 405
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 690
List of positive integer divisors of 690 that divides 690 without a remainder.
1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
Divisors of 935
List of positive integer divisors of 935 that divides 935 without a remainder.
1, 5, 11, 17, 55, 85, 187, 935
Divisors of 72
List of positive integer divisors of 72 that divides 72 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
Divisors of 405
List of positive integer divisors of 405 that divides 405 without a remainder.
1, 3, 5, 9, 15, 27, 45, 81, 135, 405
Greatest Common Divisior
We found the divisors of 690, 935, 72, 405 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 690, 935, 72, 405 is 1.
Therefore, GCD of numbers 690, 935, 72, 405 is 1
Given Input Data is 690, 935, 72, 405
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 690 is 2 x 3 x 5 x 23
Prime Factorization of 935 is 5 x 11 x 17
Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3
Prime Factorization of 405 is 3 x 3 x 3 x 3 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(690, 935) = 129030
GCD(690, 935) = ( 690 x 935 ) / 129030
GCD(690, 935) = 645150 / 129030
GCD(690, 935) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 72
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 72) = 360
GCD(5, 72) = ( 5 x 72 ) / 360
GCD(5, 72) = 360 / 360
GCD(5, 72) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 405
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 405) = 405
GCD(1, 405) = ( 1 x 405 ) / 405
GCD(1, 405) = 405 / 405
GCD(1, 405) = 1
GCD of 690, 935, 72, 405 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 690, 935, 72, 405?
GCD of 690, 935, 72, 405 is 1
2. Where do I get the detailed procedure to find GCD of 690, 935, 72, 405?
You can find a detailed procedure to find GCD of 690, 935, 72, 405 on our page.
3. How to find GCD of 690, 935, 72, 405 on a calculator?
You can find the GCD of 690, 935, 72, 405 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.