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, 318, 71, 929 i.e. 1 largest integer that divides all the numbers equally.
GCD of 531, 318, 71, 929 is 1
GCD(531, 318, 71, 929) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 531, 318, 71, 929 is 1
GCD(531, 318, 71, 929) = 1
Given Input numbers are 531, 318, 71, 929
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 318
List of positive integer divisors of 318 that divides 318 without a remainder.
1, 2, 3, 6, 53, 106, 159, 318
Divisors of 71
List of positive integer divisors of 71 that divides 71 without a remainder.
1, 71
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 531, 318, 71, 929 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 531, 318, 71, 929 is 1.
Therefore, GCD of numbers 531, 318, 71, 929 is 1
Given Input Data is 531, 318, 71, 929
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 318 is 2 x 3 x 53
Prime Factorization of 71 is 71
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(531, 318) = 56286
GCD(531, 318) = ( 531 x 318 ) / 56286
GCD(531, 318) = 168858 / 56286
GCD(531, 318) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 71
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 71) = 213
GCD(3, 71) = ( 3 x 71 ) / 213
GCD(3, 71) = 213 / 213
GCD(3, 71) = 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 531, 318, 71, 929 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 531, 318, 71, 929?
GCD of 531, 318, 71, 929 is 1
2. Where do I get the detailed procedure to find GCD of 531, 318, 71, 929?
You can find a detailed procedure to find GCD of 531, 318, 71, 929 on our page.
3. How to find GCD of 531, 318, 71, 929 on a calculator?
You can find the GCD of 531, 318, 71, 929 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.