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 48, 561, 530, 166 i.e. 1 largest integer that divides all the numbers equally.
GCD of 48, 561, 530, 166 is 1
GCD(48, 561, 530, 166) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 48, 561, 530, 166 is 1
GCD(48, 561, 530, 166) = 1
Given Input numbers are 48, 561, 530, 166
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 48
List of positive integer divisors of 48 that divides 48 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 48
Divisors of 561
List of positive integer divisors of 561 that divides 561 without a remainder.
1, 3, 11, 17, 33, 51, 187, 561
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 166
List of positive integer divisors of 166 that divides 166 without a remainder.
1, 2, 83, 166
Greatest Common Divisior
We found the divisors of 48, 561, 530, 166 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 48, 561, 530, 166 is 1.
Therefore, GCD of numbers 48, 561, 530, 166 is 1
Given Input Data is 48, 561, 530, 166
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3
Prime Factorization of 561 is 3 x 11 x 17
Prime Factorization of 530 is 2 x 5 x 53
Prime Factorization of 166 is 2 x 83
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(48, 561) = 8976
GCD(48, 561) = ( 48 x 561 ) / 8976
GCD(48, 561) = 26928 / 8976
GCD(48, 561) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 530
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 530) = 1590
GCD(3, 530) = ( 3 x 530 ) / 1590
GCD(3, 530) = 1590 / 1590
GCD(3, 530) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 166
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 166) = 166
GCD(1, 166) = ( 1 x 166 ) / 166
GCD(1, 166) = 166 / 166
GCD(1, 166) = 1
GCD of 48, 561, 530, 166 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 48, 561, 530, 166?
GCD of 48, 561, 530, 166 is 1
2. Where do I get the detailed procedure to find GCD of 48, 561, 530, 166?
You can find a detailed procedure to find GCD of 48, 561, 530, 166 on our page.
3. How to find GCD of 48, 561, 530, 166 on a calculator?
You can find the GCD of 48, 561, 530, 166 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.