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 759, 486, 189, 569 i.e. 1 largest integer that divides all the numbers equally.
GCD of 759, 486, 189, 569 is 1
GCD(759, 486, 189, 569) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 759, 486, 189, 569 is 1
GCD(759, 486, 189, 569) = 1
Given Input numbers are 759, 486, 189, 569
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 759
List of positive integer divisors of 759 that divides 759 without a remainder.
1, 3, 11, 23, 33, 69, 253, 759
Divisors of 486
List of positive integer divisors of 486 that divides 486 without a remainder.
1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
Divisors of 189
List of positive integer divisors of 189 that divides 189 without a remainder.
1, 3, 7, 9, 21, 27, 63, 189
Divisors of 569
List of positive integer divisors of 569 that divides 569 without a remainder.
1, 569
Greatest Common Divisior
We found the divisors of 759, 486, 189, 569 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 759, 486, 189, 569 is 1.
Therefore, GCD of numbers 759, 486, 189, 569 is 1
Given Input Data is 759, 486, 189, 569
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 759 is 3 x 11 x 23
Prime Factorization of 486 is 2 x 3 x 3 x 3 x 3 x 3
Prime Factorization of 189 is 3 x 3 x 3 x 7
Prime Factorization of 569 is 569
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(759, 486) = 122958
GCD(759, 486) = ( 759 x 486 ) / 122958
GCD(759, 486) = 368874 / 122958
GCD(759, 486) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 189
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 189) = 189
GCD(3, 189) = ( 3 x 189 ) / 189
GCD(3, 189) = 567 / 189
GCD(3, 189) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 569
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 569) = 1707
GCD(3, 569) = ( 3 x 569 ) / 1707
GCD(3, 569) = 1707 / 1707
GCD(3, 569) = 1
GCD of 759, 486, 189, 569 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 759, 486, 189, 569?
GCD of 759, 486, 189, 569 is 1
2. Where do I get the detailed procedure to find GCD of 759, 486, 189, 569?
You can find a detailed procedure to find GCD of 759, 486, 189, 569 on our page.
3. How to find GCD of 759, 486, 189, 569 on a calculator?
You can find the GCD of 759, 486, 189, 569 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.