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 692, 460, 81, 587 i.e. 1 largest integer that divides all the numbers equally.
GCD of 692, 460, 81, 587 is 1
GCD(692, 460, 81, 587) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 692, 460, 81, 587 is 1
GCD(692, 460, 81, 587) = 1
Given Input numbers are 692, 460, 81, 587
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 692
List of positive integer divisors of 692 that divides 692 without a remainder.
1, 2, 4, 173, 346, 692
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 81
List of positive integer divisors of 81 that divides 81 without a remainder.
1, 3, 9, 27, 81
Divisors of 587
List of positive integer divisors of 587 that divides 587 without a remainder.
1, 587
Greatest Common Divisior
We found the divisors of 692, 460, 81, 587 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 692, 460, 81, 587 is 1.
Therefore, GCD of numbers 692, 460, 81, 587 is 1
Given Input Data is 692, 460, 81, 587
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 692 is 2 x 2 x 173
Prime Factorization of 460 is 2 x 2 x 5 x 23
Prime Factorization of 81 is 3 x 3 x 3 x 3
Prime Factorization of 587 is 587
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(692, 460) = 79580
GCD(692, 460) = ( 692 x 460 ) / 79580
GCD(692, 460) = 318320 / 79580
GCD(692, 460) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 81
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 81) = 324
GCD(4, 81) = ( 4 x 81 ) / 324
GCD(4, 81) = 324 / 324
GCD(4, 81) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 587
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 587) = 587
GCD(1, 587) = ( 1 x 587 ) / 587
GCD(1, 587) = 587 / 587
GCD(1, 587) = 1
GCD of 692, 460, 81, 587 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 692, 460, 81, 587?
GCD of 692, 460, 81, 587 is 1
2. Where do I get the detailed procedure to find GCD of 692, 460, 81, 587?
You can find a detailed procedure to find GCD of 692, 460, 81, 587 on our page.
3. How to find GCD of 692, 460, 81, 587 on a calculator?
You can find the GCD of 692, 460, 81, 587 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.