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 585, 776, 67, 689 i.e. 1 largest integer that divides all the numbers equally.
GCD of 585, 776, 67, 689 is 1
GCD(585, 776, 67, 689) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 585, 776, 67, 689 is 1
GCD(585, 776, 67, 689) = 1
Given Input numbers are 585, 776, 67, 689
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 585
List of positive integer divisors of 585 that divides 585 without a remainder.
1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
Divisors of 776
List of positive integer divisors of 776 that divides 776 without a remainder.
1, 2, 4, 8, 97, 194, 388, 776
Divisors of 67
List of positive integer divisors of 67 that divides 67 without a remainder.
1, 67
Divisors of 689
List of positive integer divisors of 689 that divides 689 without a remainder.
1, 13, 53, 689
Greatest Common Divisior
We found the divisors of 585, 776, 67, 689 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 585, 776, 67, 689 is 1.
Therefore, GCD of numbers 585, 776, 67, 689 is 1
Given Input Data is 585, 776, 67, 689
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 585 is 3 x 3 x 5 x 13
Prime Factorization of 776 is 2 x 2 x 2 x 97
Prime Factorization of 67 is 67
Prime Factorization of 689 is 13 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(585, 776) = 453960
GCD(585, 776) = ( 585 x 776 ) / 453960
GCD(585, 776) = 453960 / 453960
GCD(585, 776) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 67
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 67) = 67
GCD(1, 67) = ( 1 x 67 ) / 67
GCD(1, 67) = 67 / 67
GCD(1, 67) = 1
Step3:
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
GCD of 585, 776, 67, 689 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 585, 776, 67, 689?
GCD of 585, 776, 67, 689 is 1
2. Where do I get the detailed procedure to find GCD of 585, 776, 67, 689?
You can find a detailed procedure to find GCD of 585, 776, 67, 689 on our page.
3. How to find GCD of 585, 776, 67, 689 on a calculator?
You can find the GCD of 585, 776, 67, 689 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.