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 65, 515, 332, 472 i.e. 1 largest integer that divides all the numbers equally.
GCD of 65, 515, 332, 472 is 1
GCD(65, 515, 332, 472) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 65, 515, 332, 472 is 1
GCD(65, 515, 332, 472) = 1
Given Input numbers are 65, 515, 332, 472
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 65
List of positive integer divisors of 65 that divides 65 without a remainder.
1, 5, 13, 65
Divisors of 515
List of positive integer divisors of 515 that divides 515 without a remainder.
1, 5, 103, 515
Divisors of 332
List of positive integer divisors of 332 that divides 332 without a remainder.
1, 2, 4, 83, 166, 332
Divisors of 472
List of positive integer divisors of 472 that divides 472 without a remainder.
1, 2, 4, 8, 59, 118, 236, 472
Greatest Common Divisior
We found the divisors of 65, 515, 332, 472 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 65, 515, 332, 472 is 1.
Therefore, GCD of numbers 65, 515, 332, 472 is 1
Given Input Data is 65, 515, 332, 472
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 65 is 5 x 13
Prime Factorization of 515 is 5 x 103
Prime Factorization of 332 is 2 x 2 x 83
Prime Factorization of 472 is 2 x 2 x 2 x 59
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(65, 515) = 6695
GCD(65, 515) = ( 65 x 515 ) / 6695
GCD(65, 515) = 33475 / 6695
GCD(65, 515) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 332
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 332) = 1660
GCD(5, 332) = ( 5 x 332 ) / 1660
GCD(5, 332) = 1660 / 1660
GCD(5, 332) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 472
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 472) = 472
GCD(1, 472) = ( 1 x 472 ) / 472
GCD(1, 472) = 472 / 472
GCD(1, 472) = 1
GCD of 65, 515, 332, 472 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 65, 515, 332, 472?
GCD of 65, 515, 332, 472 is 1
2. Where do I get the detailed procedure to find GCD of 65, 515, 332, 472?
You can find a detailed procedure to find GCD of 65, 515, 332, 472 on our page.
3. How to find GCD of 65, 515, 332, 472 on a calculator?
You can find the GCD of 65, 515, 332, 472 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.