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 652, 480, 17, 302 i.e. 1 largest integer that divides all the numbers equally.
GCD of 652, 480, 17, 302 is 1
GCD(652, 480, 17, 302) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 652, 480, 17, 302 is 1
GCD(652, 480, 17, 302) = 1
Given Input numbers are 652, 480, 17, 302
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 652
List of positive integer divisors of 652 that divides 652 without a remainder.
1, 2, 4, 163, 326, 652
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 17
List of positive integer divisors of 17 that divides 17 without a remainder.
1, 17
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 652, 480, 17, 302 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 652, 480, 17, 302 is 1.
Therefore, GCD of numbers 652, 480, 17, 302 is 1
Given Input Data is 652, 480, 17, 302
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 652 is 2 x 2 x 163
Prime Factorization of 480 is 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime Factorization of 17 is 17
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(652, 480) = 78240
GCD(652, 480) = ( 652 x 480 ) / 78240
GCD(652, 480) = 312960 / 78240
GCD(652, 480) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 17
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 17) = 68
GCD(4, 17) = ( 4 x 17 ) / 68
GCD(4, 17) = 68 / 68
GCD(4, 17) = 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 652, 480, 17, 302 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 652, 480, 17, 302?
GCD of 652, 480, 17, 302 is 1
2. Where do I get the detailed procedure to find GCD of 652, 480, 17, 302?
You can find a detailed procedure to find GCD of 652, 480, 17, 302 on our page.
3. How to find GCD of 652, 480, 17, 302 on a calculator?
You can find the GCD of 652, 480, 17, 302 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.