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, 392, 20, 193 i.e. 1 largest integer that divides all the numbers equally.
GCD of 531, 392, 20, 193 is 1
GCD(531, 392, 20, 193) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 531, 392, 20, 193 is 1
GCD(531, 392, 20, 193) = 1
Given Input numbers are 531, 392, 20, 193
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 392
List of positive integer divisors of 392 that divides 392 without a remainder.
1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
Divisors of 20
List of positive integer divisors of 20 that divides 20 without a remainder.
1, 2, 4, 5, 10, 20
Divisors of 193
List of positive integer divisors of 193 that divides 193 without a remainder.
1, 193
Greatest Common Divisior
We found the divisors of 531, 392, 20, 193 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 531, 392, 20, 193 is 1.
Therefore, GCD of numbers 531, 392, 20, 193 is 1
Given Input Data is 531, 392, 20, 193
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 392 is 2 x 2 x 2 x 7 x 7
Prime Factorization of 20 is 2 x 2 x 5
Prime Factorization of 193 is 193
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, 392) = 208152
GCD(531, 392) = ( 531 x 392 ) / 208152
GCD(531, 392) = 208152 / 208152
GCD(531, 392) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 20
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 20) = 20
GCD(1, 20) = ( 1 x 20 ) / 20
GCD(1, 20) = 20 / 20
GCD(1, 20) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 193
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 193) = 193
GCD(1, 193) = ( 1 x 193 ) / 193
GCD(1, 193) = 193 / 193
GCD(1, 193) = 1
GCD of 531, 392, 20, 193 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 531, 392, 20, 193?
GCD of 531, 392, 20, 193 is 1
2. Where do I get the detailed procedure to find GCD of 531, 392, 20, 193?
You can find a detailed procedure to find GCD of 531, 392, 20, 193 on our page.
3. How to find GCD of 531, 392, 20, 193 on a calculator?
You can find the GCD of 531, 392, 20, 193 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.