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 73, 596, 690, 929 i.e. 1 largest integer that divides all the numbers equally.
GCD of 73, 596, 690, 929 is 1
GCD(73, 596, 690, 929) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 73, 596, 690, 929 is 1
GCD(73, 596, 690, 929) = 1
Given Input numbers are 73, 596, 690, 929
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 73
List of positive integer divisors of 73 that divides 73 without a remainder.
1, 73
Divisors of 596
List of positive integer divisors of 596 that divides 596 without a remainder.
1, 2, 4, 149, 298, 596
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 929
List of positive integer divisors of 929 that divides 929 without a remainder.
1, 929
Greatest Common Divisior
We found the divisors of 73, 596, 690, 929 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 73, 596, 690, 929 is 1.
Therefore, GCD of numbers 73, 596, 690, 929 is 1
Given Input Data is 73, 596, 690, 929
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 73 is 73
Prime Factorization of 596 is 2 x 2 x 149
Prime Factorization of 690 is 2 x 3 x 5 x 23
Prime Factorization of 929 is 929
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(73, 596) = 43508
GCD(73, 596) = ( 73 x 596 ) / 43508
GCD(73, 596) = 43508 / 43508
GCD(73, 596) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 690
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 690) = 690
GCD(1, 690) = ( 1 x 690 ) / 690
GCD(1, 690) = 690 / 690
GCD(1, 690) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 929
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 929) = 929
GCD(1, 929) = ( 1 x 929 ) / 929
GCD(1, 929) = 929 / 929
GCD(1, 929) = 1
GCD of 73, 596, 690, 929 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 73, 596, 690, 929?
GCD of 73, 596, 690, 929 is 1
2. Where do I get the detailed procedure to find GCD of 73, 596, 690, 929?
You can find a detailed procedure to find GCD of 73, 596, 690, 929 on our page.
3. How to find GCD of 73, 596, 690, 929 on a calculator?
You can find the GCD of 73, 596, 690, 929 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.