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, 529, 64, 567 i.e. 1 largest integer that divides all the numbers equally.
GCD of 759, 529, 64, 567 is 1
GCD(759, 529, 64, 567) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 759, 529, 64, 567 is 1
GCD(759, 529, 64, 567) = 1
Given Input numbers are 759, 529, 64, 567
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 529
List of positive integer divisors of 529 that divides 529 without a remainder.
1, 23, 529
Divisors of 64
List of positive integer divisors of 64 that divides 64 without a remainder.
1, 2, 4, 8, 16, 32, 64
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 759, 529, 64, 567 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 759, 529, 64, 567 is 1.
Therefore, GCD of numbers 759, 529, 64, 567 is 1
Given Input Data is 759, 529, 64, 567
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 529 is 23 x 23
Prime Factorization of 64 is 2 x 2 x 2 x 2 x 2 x 2
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(759, 529) = 17457
GCD(759, 529) = ( 759 x 529 ) / 17457
GCD(759, 529) = 401511 / 17457
GCD(759, 529) = 23
Step2:
Here we consider the GCD from the above i.e. 23 as first number and the next as 64
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(23, 64) = 1472
GCD(23, 64) = ( 23 x 64 ) / 1472
GCD(23, 64) = 1472 / 1472
GCD(23, 64) = 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 759, 529, 64, 567 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 759, 529, 64, 567?
GCD of 759, 529, 64, 567 is 1
2. Where do I get the detailed procedure to find GCD of 759, 529, 64, 567?
You can find a detailed procedure to find GCD of 759, 529, 64, 567 on our page.
3. How to find GCD of 759, 529, 64, 567 on a calculator?
You can find the GCD of 759, 529, 64, 567 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.