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, 515, 160, 520 i.e. 1 largest integer that divides all the numbers equally.
GCD of 507, 515, 160, 520 is 1
GCD(507, 515, 160, 520) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 507, 515, 160, 520 is 1
GCD(507, 515, 160, 520) = 1
Given Input numbers are 507, 515, 160, 520
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 515
List of positive integer divisors of 515 that divides 515 without a remainder.
1, 5, 103, 515
Divisors of 160
List of positive integer divisors of 160 that divides 160 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
Divisors of 520
List of positive integer divisors of 520 that divides 520 without a remainder.
1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
Greatest Common Divisior
We found the divisors of 507, 515, 160, 520 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 507, 515, 160, 520 is 1.
Therefore, GCD of numbers 507, 515, 160, 520 is 1
Given Input Data is 507, 515, 160, 520
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 515 is 5 x 103
Prime Factorization of 160 is 2 x 2 x 2 x 2 x 2 x 5
Prime Factorization of 520 is 2 x 2 x 2 x 5 x 13
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, 515) = 261105
GCD(507, 515) = ( 507 x 515 ) / 261105
GCD(507, 515) = 261105 / 261105
GCD(507, 515) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 160
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 160) = 160
GCD(1, 160) = ( 1 x 160 ) / 160
GCD(1, 160) = 160 / 160
GCD(1, 160) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 520
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 520) = 520
GCD(1, 520) = ( 1 x 520 ) / 520
GCD(1, 520) = 520 / 520
GCD(1, 520) = 1
GCD of 507, 515, 160, 520 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 507, 515, 160, 520?
GCD of 507, 515, 160, 520 is 1
2. Where do I get the detailed procedure to find GCD of 507, 515, 160, 520?
You can find a detailed procedure to find GCD of 507, 515, 160, 520 on our page.
3. How to find GCD of 507, 515, 160, 520 on a calculator?
You can find the GCD of 507, 515, 160, 520 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.