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 168, 530, 20, 131 i.e. 1 largest integer that divides all the numbers equally.
GCD of 168, 530, 20, 131 is 1
GCD(168, 530, 20, 131) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 168, 530, 20, 131 is 1
GCD(168, 530, 20, 131) = 1
Given Input numbers are 168, 530, 20, 131
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 168
List of positive integer divisors of 168 that divides 168 without a remainder.
1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
Divisors of 530
List of positive integer divisors of 530 that divides 530 without a remainder.
1, 2, 5, 10, 53, 106, 265, 530
Divisors of 20
List of positive integer divisors of 20 that divides 20 without a remainder.
1, 2, 4, 5, 10, 20
Divisors of 131
List of positive integer divisors of 131 that divides 131 without a remainder.
1, 131
Greatest Common Divisior
We found the divisors of 168, 530, 20, 131 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 168, 530, 20, 131 is 1.
Therefore, GCD of numbers 168, 530, 20, 131 is 1
Given Input Data is 168, 530, 20, 131
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 168 is 2 x 2 x 2 x 3 x 7
Prime Factorization of 530 is 2 x 5 x 53
Prime Factorization of 20 is 2 x 2 x 5
Prime Factorization of 131 is 131
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(168, 530) = 44520
GCD(168, 530) = ( 168 x 530 ) / 44520
GCD(168, 530) = 89040 / 44520
GCD(168, 530) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 20
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 20) = 20
GCD(2, 20) = ( 2 x 20 ) / 20
GCD(2, 20) = 40 / 20
GCD(2, 20) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 131
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 131) = 262
GCD(2, 131) = ( 2 x 131 ) / 262
GCD(2, 131) = 262 / 262
GCD(2, 131) = 1
GCD of 168, 530, 20, 131 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 168, 530, 20, 131?
GCD of 168, 530, 20, 131 is 1
2. Where do I get the detailed procedure to find GCD of 168, 530, 20, 131?
You can find a detailed procedure to find GCD of 168, 530, 20, 131 on our page.
3. How to find GCD of 168, 530, 20, 131 on a calculator?
You can find the GCD of 168, 530, 20, 131 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.