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 712, 667, 569, 984 i.e. 1 largest integer that divides all the numbers equally.
GCD of 712, 667, 569, 984 is 1
GCD(712, 667, 569, 984) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 712, 667, 569, 984 is 1
GCD(712, 667, 569, 984) = 1
Given Input numbers are 712, 667, 569, 984
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 712
List of positive integer divisors of 712 that divides 712 without a remainder.
1, 2, 4, 8, 89, 178, 356, 712
Divisors of 667
List of positive integer divisors of 667 that divides 667 without a remainder.
1, 23, 29, 667
Divisors of 569
List of positive integer divisors of 569 that divides 569 without a remainder.
1, 569
Divisors of 984
List of positive integer divisors of 984 that divides 984 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
Greatest Common Divisior
We found the divisors of 712, 667, 569, 984 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 712, 667, 569, 984 is 1.
Therefore, GCD of numbers 712, 667, 569, 984 is 1
Given Input Data is 712, 667, 569, 984
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 712 is 2 x 2 x 2 x 89
Prime Factorization of 667 is 23 x 29
Prime Factorization of 569 is 569
Prime Factorization of 984 is 2 x 2 x 2 x 3 x 41
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(712, 667) = 474904
GCD(712, 667) = ( 712 x 667 ) / 474904
GCD(712, 667) = 474904 / 474904
GCD(712, 667) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 569
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 569) = 569
GCD(1, 569) = ( 1 x 569 ) / 569
GCD(1, 569) = 569 / 569
GCD(1, 569) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 984
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 984) = 984
GCD(1, 984) = ( 1 x 984 ) / 984
GCD(1, 984) = 984 / 984
GCD(1, 984) = 1
GCD of 712, 667, 569, 984 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 712, 667, 569, 984?
GCD of 712, 667, 569, 984 is 1
2. Where do I get the detailed procedure to find GCD of 712, 667, 569, 984?
You can find a detailed procedure to find GCD of 712, 667, 569, 984 on our page.
3. How to find GCD of 712, 667, 569, 984 on a calculator?
You can find the GCD of 712, 667, 569, 984 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.