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 545, 226, 15, 567 i.e. 1 largest integer that divides all the numbers equally.
GCD of 545, 226, 15, 567 is 1
GCD(545, 226, 15, 567) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 545, 226, 15, 567 is 1
GCD(545, 226, 15, 567) = 1
Given Input numbers are 545, 226, 15, 567
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 545
List of positive integer divisors of 545 that divides 545 without a remainder.
1, 5, 109, 545
Divisors of 226
List of positive integer divisors of 226 that divides 226 without a remainder.
1, 2, 113, 226
Divisors of 15
List of positive integer divisors of 15 that divides 15 without a remainder.
1, 3, 5, 15
Divisors of 567
List of positive integer divisors of 567 that divides 567 without a remainder.
1, 3, 7, 9, 21, 27, 63, 81, 189, 567
Greatest Common Divisior
We found the divisors of 545, 226, 15, 567 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 545, 226, 15, 567 is 1.
Therefore, GCD of numbers 545, 226, 15, 567 is 1
Given Input Data is 545, 226, 15, 567
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 545 is 5 x 109
Prime Factorization of 226 is 2 x 113
Prime Factorization of 15 is 3 x 5
Prime Factorization of 567 is 3 x 3 x 3 x 3 x 7
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(545, 226) = 123170
GCD(545, 226) = ( 545 x 226 ) / 123170
GCD(545, 226) = 123170 / 123170
GCD(545, 226) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 15
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 15) = 15
GCD(1, 15) = ( 1 x 15 ) / 15
GCD(1, 15) = 15 / 15
GCD(1, 15) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 567
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 567) = 567
GCD(1, 567) = ( 1 x 567 ) / 567
GCD(1, 567) = 567 / 567
GCD(1, 567) = 1
GCD of 545, 226, 15, 567 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 545, 226, 15, 567?
GCD of 545, 226, 15, 567 is 1
2. Where do I get the detailed procedure to find GCD of 545, 226, 15, 567?
You can find a detailed procedure to find GCD of 545, 226, 15, 567 on our page.
3. How to find GCD of 545, 226, 15, 567 on a calculator?
You can find the GCD of 545, 226, 15, 567 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.