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 360, 526, 13, 302 i.e. 1 largest integer that divides all the numbers equally.
GCD of 360, 526, 13, 302 is 1
GCD(360, 526, 13, 302) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 360, 526, 13, 302 is 1
GCD(360, 526, 13, 302) = 1
Given Input numbers are 360, 526, 13, 302
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 360
List of positive integer divisors of 360 that divides 360 without a remainder.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
Divisors of 526
List of positive integer divisors of 526 that divides 526 without a remainder.
1, 2, 263, 526
Divisors of 13
List of positive integer divisors of 13 that divides 13 without a remainder.
1, 13
Divisors of 302
List of positive integer divisors of 302 that divides 302 without a remainder.
1, 2, 151, 302
Greatest Common Divisior
We found the divisors of 360, 526, 13, 302 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 360, 526, 13, 302 is 1.
Therefore, GCD of numbers 360, 526, 13, 302 is 1
Given Input Data is 360, 526, 13, 302
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5
Prime Factorization of 526 is 2 x 263
Prime Factorization of 13 is 13
Prime Factorization of 302 is 2 x 151
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(360, 526) = 94680
GCD(360, 526) = ( 360 x 526 ) / 94680
GCD(360, 526) = 189360 / 94680
GCD(360, 526) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 13
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 13) = 26
GCD(2, 13) = ( 2 x 13 ) / 26
GCD(2, 13) = 26 / 26
GCD(2, 13) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 302
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 302) = 302
GCD(1, 302) = ( 1 x 302 ) / 302
GCD(1, 302) = 302 / 302
GCD(1, 302) = 1
GCD of 360, 526, 13, 302 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 360, 526, 13, 302?
GCD of 360, 526, 13, 302 is 1
2. Where do I get the detailed procedure to find GCD of 360, 526, 13, 302?
You can find a detailed procedure to find GCD of 360, 526, 13, 302 on our page.
3. How to find GCD of 360, 526, 13, 302 on a calculator?
You can find the GCD of 360, 526, 13, 302 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.