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, 377, 179, 516 i.e. 1 largest integer that divides all the numbers equally.
GCD of 65, 377, 179, 516 is 1
GCD(65, 377, 179, 516) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 65, 377, 179, 516 is 1
GCD(65, 377, 179, 516) = 1
Given Input numbers are 65, 377, 179, 516
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 377
List of positive integer divisors of 377 that divides 377 without a remainder.
1, 13, 29, 377
Divisors of 179
List of positive integer divisors of 179 that divides 179 without a remainder.
1, 179
Divisors of 516
List of positive integer divisors of 516 that divides 516 without a remainder.
1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516
Greatest Common Divisior
We found the divisors of 65, 377, 179, 516 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 65, 377, 179, 516 is 1.
Therefore, GCD of numbers 65, 377, 179, 516 is 1
Given Input Data is 65, 377, 179, 516
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 65 is 5 x 13
Prime Factorization of 377 is 13 x 29
Prime Factorization of 179 is 179
Prime Factorization of 516 is 2 x 2 x 3 x 43
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, 377) = 1885
GCD(65, 377) = ( 65 x 377 ) / 1885
GCD(65, 377) = 24505 / 1885
GCD(65, 377) = 13
Step2:
Here we consider the GCD from the above i.e. 13 as first number and the next as 179
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(13, 179) = 2327
GCD(13, 179) = ( 13 x 179 ) / 2327
GCD(13, 179) = 2327 / 2327
GCD(13, 179) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 516
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 516) = 516
GCD(1, 516) = ( 1 x 516 ) / 516
GCD(1, 516) = 516 / 516
GCD(1, 516) = 1
GCD of 65, 377, 179, 516 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 65, 377, 179, 516?
GCD of 65, 377, 179, 516 is 1
2. Where do I get the detailed procedure to find GCD of 65, 377, 179, 516?
You can find a detailed procedure to find GCD of 65, 377, 179, 516 on our page.
3. How to find GCD of 65, 377, 179, 516 on a calculator?
You can find the GCD of 65, 377, 179, 516 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.