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 597, 586, 72, 850 i.e. 1 largest integer that divides all the numbers equally.
GCD of 597, 586, 72, 850 is 1
GCD(597, 586, 72, 850) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 597, 586, 72, 850 is 1
GCD(597, 586, 72, 850) = 1
Given Input numbers are 597, 586, 72, 850
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 597
List of positive integer divisors of 597 that divides 597 without a remainder.
1, 3, 199, 597
Divisors of 586
List of positive integer divisors of 586 that divides 586 without a remainder.
1, 2, 293, 586
Divisors of 72
List of positive integer divisors of 72 that divides 72 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
Divisors of 850
List of positive integer divisors of 850 that divides 850 without a remainder.
1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850
Greatest Common Divisior
We found the divisors of 597, 586, 72, 850 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 597, 586, 72, 850 is 1.
Therefore, GCD of numbers 597, 586, 72, 850 is 1
Given Input Data is 597, 586, 72, 850
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 597 is 3 x 199
Prime Factorization of 586 is 2 x 293
Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3
Prime Factorization of 850 is 2 x 5 x 5 x 17
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(597, 586) = 349842
GCD(597, 586) = ( 597 x 586 ) / 349842
GCD(597, 586) = 349842 / 349842
GCD(597, 586) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 72
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 72) = 72
GCD(1, 72) = ( 1 x 72 ) / 72
GCD(1, 72) = 72 / 72
GCD(1, 72) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 850
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 850) = 850
GCD(1, 850) = ( 1 x 850 ) / 850
GCD(1, 850) = 850 / 850
GCD(1, 850) = 1
GCD of 597, 586, 72, 850 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 597, 586, 72, 850?
GCD of 597, 586, 72, 850 is 1
2. Where do I get the detailed procedure to find GCD of 597, 586, 72, 850?
You can find a detailed procedure to find GCD of 597, 586, 72, 850 on our page.
3. How to find GCD of 597, 586, 72, 850 on a calculator?
You can find the GCD of 597, 586, 72, 850 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.