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 99, 580, 395, 177 i.e. 1 largest integer that divides all the numbers equally.
GCD of 99, 580, 395, 177 is 1
GCD(99, 580, 395, 177) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 99, 580, 395, 177 is 1
GCD(99, 580, 395, 177) = 1
Given Input numbers are 99, 580, 395, 177
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 99
List of positive integer divisors of 99 that divides 99 without a remainder.
1, 3, 9, 11, 33, 99
Divisors of 580
List of positive integer divisors of 580 that divides 580 without a remainder.
1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
Divisors of 395
List of positive integer divisors of 395 that divides 395 without a remainder.
1, 5, 79, 395
Divisors of 177
List of positive integer divisors of 177 that divides 177 without a remainder.
1, 3, 59, 177
Greatest Common Divisior
We found the divisors of 99, 580, 395, 177 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 99, 580, 395, 177 is 1.
Therefore, GCD of numbers 99, 580, 395, 177 is 1
Given Input Data is 99, 580, 395, 177
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 99 is 3 x 3 x 11
Prime Factorization of 580 is 2 x 2 x 5 x 29
Prime Factorization of 395 is 5 x 79
Prime Factorization of 177 is 3 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(99, 580) = 57420
GCD(99, 580) = ( 99 x 580 ) / 57420
GCD(99, 580) = 57420 / 57420
GCD(99, 580) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 395
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 395) = 395
GCD(1, 395) = ( 1 x 395 ) / 395
GCD(1, 395) = 395 / 395
GCD(1, 395) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 177
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 177) = 177
GCD(1, 177) = ( 1 x 177 ) / 177
GCD(1, 177) = 177 / 177
GCD(1, 177) = 1
GCD of 99, 580, 395, 177 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 99, 580, 395, 177?
GCD of 99, 580, 395, 177 is 1
2. Where do I get the detailed procedure to find GCD of 99, 580, 395, 177?
You can find a detailed procedure to find GCD of 99, 580, 395, 177 on our page.
3. How to find GCD of 99, 580, 395, 177 on a calculator?
You can find the GCD of 99, 580, 395, 177 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.