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 755, 415, 52, 529 i.e. 1 largest integer that divides all the numbers equally.
GCD of 755, 415, 52, 529 is 1
GCD(755, 415, 52, 529) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 755, 415, 52, 529 is 1
GCD(755, 415, 52, 529) = 1
Given Input numbers are 755, 415, 52, 529
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 755
List of positive integer divisors of 755 that divides 755 without a remainder.
1, 5, 151, 755
Divisors of 415
List of positive integer divisors of 415 that divides 415 without a remainder.
1, 5, 83, 415
Divisors of 52
List of positive integer divisors of 52 that divides 52 without a remainder.
1, 2, 4, 13, 26, 52
Divisors of 529
List of positive integer divisors of 529 that divides 529 without a remainder.
1, 23, 529
Greatest Common Divisior
We found the divisors of 755, 415, 52, 529 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 755, 415, 52, 529 is 1.
Therefore, GCD of numbers 755, 415, 52, 529 is 1
Given Input Data is 755, 415, 52, 529
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 755 is 5 x 151
Prime Factorization of 415 is 5 x 83
Prime Factorization of 52 is 2 x 2 x 13
Prime Factorization of 529 is 23 x 23
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(755, 415) = 62665
GCD(755, 415) = ( 755 x 415 ) / 62665
GCD(755, 415) = 313325 / 62665
GCD(755, 415) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 52
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 52) = 260
GCD(5, 52) = ( 5 x 52 ) / 260
GCD(5, 52) = 260 / 260
GCD(5, 52) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 529
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 529) = 529
GCD(1, 529) = ( 1 x 529 ) / 529
GCD(1, 529) = 529 / 529
GCD(1, 529) = 1
GCD of 755, 415, 52, 529 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 755, 415, 52, 529?
GCD of 755, 415, 52, 529 is 1
2. Where do I get the detailed procedure to find GCD of 755, 415, 52, 529?
You can find a detailed procedure to find GCD of 755, 415, 52, 529 on our page.
3. How to find GCD of 755, 415, 52, 529 on a calculator?
You can find the GCD of 755, 415, 52, 529 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.