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 569, 474, 75, 559 i.e. 1 largest integer that divides all the numbers equally.
GCD of 569, 474, 75, 559 is 1
GCD(569, 474, 75, 559) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 569, 474, 75, 559 is 1
GCD(569, 474, 75, 559) = 1
Given Input numbers are 569, 474, 75, 559
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 569
List of positive integer divisors of 569 that divides 569 without a remainder.
1, 569
Divisors of 474
List of positive integer divisors of 474 that divides 474 without a remainder.
1, 2, 3, 6, 79, 158, 237, 474
Divisors of 75
List of positive integer divisors of 75 that divides 75 without a remainder.
1, 3, 5, 15, 25, 75
Divisors of 559
List of positive integer divisors of 559 that divides 559 without a remainder.
1, 13, 43, 559
Greatest Common Divisior
We found the divisors of 569, 474, 75, 559 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 569, 474, 75, 559 is 1.
Therefore, GCD of numbers 569, 474, 75, 559 is 1
Given Input Data is 569, 474, 75, 559
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 569 is 569
Prime Factorization of 474 is 2 x 3 x 79
Prime Factorization of 75 is 3 x 5 x 5
Prime Factorization of 559 is 13 x 43
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(569, 474) = 269706
GCD(569, 474) = ( 569 x 474 ) / 269706
GCD(569, 474) = 269706 / 269706
GCD(569, 474) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 75
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 75) = 75
GCD(1, 75) = ( 1 x 75 ) / 75
GCD(1, 75) = 75 / 75
GCD(1, 75) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 559
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 559) = 559
GCD(1, 559) = ( 1 x 559 ) / 559
GCD(1, 559) = 559 / 559
GCD(1, 559) = 1
GCD of 569, 474, 75, 559 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 569, 474, 75, 559?
GCD of 569, 474, 75, 559 is 1
2. Where do I get the detailed procedure to find GCD of 569, 474, 75, 559?
You can find a detailed procedure to find GCD of 569, 474, 75, 559 on our page.
3. How to find GCD of 569, 474, 75, 559 on a calculator?
You can find the GCD of 569, 474, 75, 559 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.