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 395, 489, 265, 772 i.e. 1 largest integer that divides all the numbers equally.
GCD of 395, 489, 265, 772 is 1
GCD(395, 489, 265, 772) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 395, 489, 265, 772 is 1
GCD(395, 489, 265, 772) = 1
Given Input numbers are 395, 489, 265, 772
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 395
List of positive integer divisors of 395 that divides 395 without a remainder.
1, 5, 79, 395
Divisors of 489
List of positive integer divisors of 489 that divides 489 without a remainder.
1, 3, 163, 489
Divisors of 265
List of positive integer divisors of 265 that divides 265 without a remainder.
1, 5, 53, 265
Divisors of 772
List of positive integer divisors of 772 that divides 772 without a remainder.
1, 2, 4, 193, 386, 772
Greatest Common Divisior
We found the divisors of 395, 489, 265, 772 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 395, 489, 265, 772 is 1.
Therefore, GCD of numbers 395, 489, 265, 772 is 1
Given Input Data is 395, 489, 265, 772
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 395 is 5 x 79
Prime Factorization of 489 is 3 x 163
Prime Factorization of 265 is 5 x 53
Prime Factorization of 772 is 2 x 2 x 193
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(395, 489) = 193155
GCD(395, 489) = ( 395 x 489 ) / 193155
GCD(395, 489) = 193155 / 193155
GCD(395, 489) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 265
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 265) = 265
GCD(1, 265) = ( 1 x 265 ) / 265
GCD(1, 265) = 265 / 265
GCD(1, 265) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 772
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 772) = 772
GCD(1, 772) = ( 1 x 772 ) / 772
GCD(1, 772) = 772 / 772
GCD(1, 772) = 1
GCD of 395, 489, 265, 772 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 395, 489, 265, 772?
GCD of 395, 489, 265, 772 is 1
2. Where do I get the detailed procedure to find GCD of 395, 489, 265, 772?
You can find a detailed procedure to find GCD of 395, 489, 265, 772 on our page.
3. How to find GCD of 395, 489, 265, 772 on a calculator?
You can find the GCD of 395, 489, 265, 772 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.