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 531, 240, 83, 629 i.e. 1 largest integer that divides all the numbers equally.
GCD of 531, 240, 83, 629 is 1
GCD(531, 240, 83, 629) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 531, 240, 83, 629 is 1
GCD(531, 240, 83, 629) = 1
Given Input numbers are 531, 240, 83, 629
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 531
List of positive integer divisors of 531 that divides 531 without a remainder.
1, 3, 9, 59, 177, 531
Divisors of 240
List of positive integer divisors of 240 that divides 240 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
Divisors of 83
List of positive integer divisors of 83 that divides 83 without a remainder.
1, 83
Divisors of 629
List of positive integer divisors of 629 that divides 629 without a remainder.
1, 17, 37, 629
Greatest Common Divisior
We found the divisors of 531, 240, 83, 629 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 531, 240, 83, 629 is 1.
Therefore, GCD of numbers 531, 240, 83, 629 is 1
Given Input Data is 531, 240, 83, 629
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 531 is 3 x 3 x 59
Prime Factorization of 240 is 2 x 2 x 2 x 2 x 3 x 5
Prime Factorization of 83 is 83
Prime Factorization of 629 is 17 x 37
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(531, 240) = 42480
GCD(531, 240) = ( 531 x 240 ) / 42480
GCD(531, 240) = 127440 / 42480
GCD(531, 240) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 83
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 83) = 249
GCD(3, 83) = ( 3 x 83 ) / 249
GCD(3, 83) = 249 / 249
GCD(3, 83) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 629
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 629) = 629
GCD(1, 629) = ( 1 x 629 ) / 629
GCD(1, 629) = 629 / 629
GCD(1, 629) = 1
GCD of 531, 240, 83, 629 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 531, 240, 83, 629?
GCD of 531, 240, 83, 629 is 1
2. Where do I get the detailed procedure to find GCD of 531, 240, 83, 629?
You can find a detailed procedure to find GCD of 531, 240, 83, 629 on our page.
3. How to find GCD of 531, 240, 83, 629 on a calculator?
You can find the GCD of 531, 240, 83, 629 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.