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 134, 572, 15, 819 i.e. 1 largest integer that divides all the numbers equally.
GCD of 134, 572, 15, 819 is 1
GCD(134, 572, 15, 819) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 134, 572, 15, 819 is 1
GCD(134, 572, 15, 819) = 1
Given Input numbers are 134, 572, 15, 819
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 134
List of positive integer divisors of 134 that divides 134 without a remainder.
1, 2, 67, 134
Divisors of 572
List of positive integer divisors of 572 that divides 572 without a remainder.
1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
Divisors of 15
List of positive integer divisors of 15 that divides 15 without a remainder.
1, 3, 5, 15
Divisors of 819
List of positive integer divisors of 819 that divides 819 without a remainder.
1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
Greatest Common Divisior
We found the divisors of 134, 572, 15, 819 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 134, 572, 15, 819 is 1.
Therefore, GCD of numbers 134, 572, 15, 819 is 1
Given Input Data is 134, 572, 15, 819
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 134 is 2 x 67
Prime Factorization of 572 is 2 x 2 x 11 x 13
Prime Factorization of 15 is 3 x 5
Prime Factorization of 819 is 3 x 3 x 7 x 13
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(134, 572) = 38324
GCD(134, 572) = ( 134 x 572 ) / 38324
GCD(134, 572) = 76648 / 38324
GCD(134, 572) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 15
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 15) = 30
GCD(2, 15) = ( 2 x 15 ) / 30
GCD(2, 15) = 30 / 30
GCD(2, 15) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 819
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 819) = 819
GCD(1, 819) = ( 1 x 819 ) / 819
GCD(1, 819) = 819 / 819
GCD(1, 819) = 1
GCD of 134, 572, 15, 819 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 134, 572, 15, 819?
GCD of 134, 572, 15, 819 is 1
2. Where do I get the detailed procedure to find GCD of 134, 572, 15, 819?
You can find a detailed procedure to find GCD of 134, 572, 15, 819 on our page.
3. How to find GCD of 134, 572, 15, 819 on a calculator?
You can find the GCD of 134, 572, 15, 819 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.