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, 780, 77, 531 i.e. 1 largest integer that divides all the numbers equally.
GCD of 597, 780, 77, 531 is 1
GCD(597, 780, 77, 531) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 597, 780, 77, 531 is 1
GCD(597, 780, 77, 531) = 1
Given Input numbers are 597, 780, 77, 531
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 780
List of positive integer divisors of 780 that divides 780 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
Divisors of 77
List of positive integer divisors of 77 that divides 77 without a remainder.
1, 7, 11, 77
Divisors of 531
List of positive integer divisors of 531 that divides 531 without a remainder.
1, 3, 9, 59, 177, 531
Greatest Common Divisior
We found the divisors of 597, 780, 77, 531 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 597, 780, 77, 531 is 1.
Therefore, GCD of numbers 597, 780, 77, 531 is 1
Given Input Data is 597, 780, 77, 531
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 597 is 3 x 199
Prime Factorization of 780 is 2 x 2 x 3 x 5 x 13
Prime Factorization of 77 is 7 x 11
Prime Factorization of 531 is 3 x 3 x 59
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, 780) = 155220
GCD(597, 780) = ( 597 x 780 ) / 155220
GCD(597, 780) = 465660 / 155220
GCD(597, 780) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 77
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 77) = 231
GCD(3, 77) = ( 3 x 77 ) / 231
GCD(3, 77) = 231 / 231
GCD(3, 77) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 531
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 531) = 531
GCD(1, 531) = ( 1 x 531 ) / 531
GCD(1, 531) = 531 / 531
GCD(1, 531) = 1
GCD of 597, 780, 77, 531 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 597, 780, 77, 531?
GCD of 597, 780, 77, 531 is 1
2. Where do I get the detailed procedure to find GCD of 597, 780, 77, 531?
You can find a detailed procedure to find GCD of 597, 780, 77, 531 on our page.
3. How to find GCD of 597, 780, 77, 531 on a calculator?
You can find the GCD of 597, 780, 77, 531 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.