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 724, 659, 73, 912 i.e. 1 largest integer that divides all the numbers equally.
GCD of 724, 659, 73, 912 is 1
GCD(724, 659, 73, 912) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 724, 659, 73, 912 is 1
GCD(724, 659, 73, 912) = 1
Given Input numbers are 724, 659, 73, 912
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 724
List of positive integer divisors of 724 that divides 724 without a remainder.
1, 2, 4, 181, 362, 724
Divisors of 659
List of positive integer divisors of 659 that divides 659 without a remainder.
1, 659
Divisors of 73
List of positive integer divisors of 73 that divides 73 without a remainder.
1, 73
Divisors of 912
List of positive integer divisors of 912 that divides 912 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
Greatest Common Divisior
We found the divisors of 724, 659, 73, 912 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 724, 659, 73, 912 is 1.
Therefore, GCD of numbers 724, 659, 73, 912 is 1
Given Input Data is 724, 659, 73, 912
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 724 is 2 x 2 x 181
Prime Factorization of 659 is 659
Prime Factorization of 73 is 73
Prime Factorization of 912 is 2 x 2 x 2 x 2 x 3 x 19
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(724, 659) = 477116
GCD(724, 659) = ( 724 x 659 ) / 477116
GCD(724, 659) = 477116 / 477116
GCD(724, 659) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 73
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 73) = 73
GCD(1, 73) = ( 1 x 73 ) / 73
GCD(1, 73) = 73 / 73
GCD(1, 73) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 912
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 912) = 912
GCD(1, 912) = ( 1 x 912 ) / 912
GCD(1, 912) = 912 / 912
GCD(1, 912) = 1
GCD of 724, 659, 73, 912 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 724, 659, 73, 912?
GCD of 724, 659, 73, 912 is 1
2. Where do I get the detailed procedure to find GCD of 724, 659, 73, 912?
You can find a detailed procedure to find GCD of 724, 659, 73, 912 on our page.
3. How to find GCD of 724, 659, 73, 912 on a calculator?
You can find the GCD of 724, 659, 73, 912 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.