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 507, 767, 352, 729 i.e. 1 largest integer that divides all the numbers equally.
GCD of 507, 767, 352, 729 is 1
GCD(507, 767, 352, 729) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 507, 767, 352, 729 is 1
GCD(507, 767, 352, 729) = 1
Given Input numbers are 507, 767, 352, 729
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 507
List of positive integer divisors of 507 that divides 507 without a remainder.
1, 3, 13, 39, 169, 507
Divisors of 767
List of positive integer divisors of 767 that divides 767 without a remainder.
1, 13, 59, 767
Divisors of 352
List of positive integer divisors of 352 that divides 352 without a remainder.
1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
Divisors of 729
List of positive integer divisors of 729 that divides 729 without a remainder.
1, 3, 9, 27, 81, 243, 729
Greatest Common Divisior
We found the divisors of 507, 767, 352, 729 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 507, 767, 352, 729 is 1.
Therefore, GCD of numbers 507, 767, 352, 729 is 1
Given Input Data is 507, 767, 352, 729
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 507 is 3 x 13 x 13
Prime Factorization of 767 is 13 x 59
Prime Factorization of 352 is 2 x 2 x 2 x 2 x 2 x 11
Prime Factorization of 729 is 3 x 3 x 3 x 3 x 3 x 3
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(507, 767) = 29913
GCD(507, 767) = ( 507 x 767 ) / 29913
GCD(507, 767) = 388869 / 29913
GCD(507, 767) = 13
Step2:
Here we consider the GCD from the above i.e. 13 as first number and the next as 352
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(13, 352) = 4576
GCD(13, 352) = ( 13 x 352 ) / 4576
GCD(13, 352) = 4576 / 4576
GCD(13, 352) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 729
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 729) = 729
GCD(1, 729) = ( 1 x 729 ) / 729
GCD(1, 729) = 729 / 729
GCD(1, 729) = 1
GCD of 507, 767, 352, 729 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 507, 767, 352, 729?
GCD of 507, 767, 352, 729 is 1
2. Where do I get the detailed procedure to find GCD of 507, 767, 352, 729?
You can find a detailed procedure to find GCD of 507, 767, 352, 729 on our page.
3. How to find GCD of 507, 767, 352, 729 on a calculator?
You can find the GCD of 507, 767, 352, 729 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.