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 480, 526, 513, 536 i.e. 1 largest integer that divides all the numbers equally.
GCD of 480, 526, 513, 536 is 1
GCD(480, 526, 513, 536) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 480, 526, 513, 536 is 1
GCD(480, 526, 513, 536) = 1
Given Input numbers are 480, 526, 513, 536
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 480
List of positive integer divisors of 480 that divides 480 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
Divisors of 526
List of positive integer divisors of 526 that divides 526 without a remainder.
1, 2, 263, 526
Divisors of 513
List of positive integer divisors of 513 that divides 513 without a remainder.
1, 3, 9, 19, 27, 57, 171, 513
Divisors of 536
List of positive integer divisors of 536 that divides 536 without a remainder.
1, 2, 4, 8, 67, 134, 268, 536
Greatest Common Divisior
We found the divisors of 480, 526, 513, 536 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 480, 526, 513, 536 is 1.
Therefore, GCD of numbers 480, 526, 513, 536 is 1
Given Input Data is 480, 526, 513, 536
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 480 is 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime Factorization of 526 is 2 x 263
Prime Factorization of 513 is 3 x 3 x 3 x 19
Prime Factorization of 536 is 2 x 2 x 2 x 67
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(480, 526) = 126240
GCD(480, 526) = ( 480 x 526 ) / 126240
GCD(480, 526) = 252480 / 126240
GCD(480, 526) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 513
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 513) = 1026
GCD(2, 513) = ( 2 x 513 ) / 1026
GCD(2, 513) = 1026 / 1026
GCD(2, 513) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 536
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 536) = 536
GCD(1, 536) = ( 1 x 536 ) / 536
GCD(1, 536) = 536 / 536
GCD(1, 536) = 1
GCD of 480, 526, 513, 536 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 480, 526, 513, 536?
GCD of 480, 526, 513, 536 is 1
2. Where do I get the detailed procedure to find GCD of 480, 526, 513, 536?
You can find a detailed procedure to find GCD of 480, 526, 513, 536 on our page.
3. How to find GCD of 480, 526, 513, 536 on a calculator?
You can find the GCD of 480, 526, 513, 536 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.