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, 169, 491, 564 i.e. 1 largest integer that divides all the numbers equally.
GCD of 395, 169, 491, 564 is 1
GCD(395, 169, 491, 564) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 395, 169, 491, 564 is 1
GCD(395, 169, 491, 564) = 1
Given Input numbers are 395, 169, 491, 564
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 169
List of positive integer divisors of 169 that divides 169 without a remainder.
1, 13, 169
Divisors of 491
List of positive integer divisors of 491 that divides 491 without a remainder.
1, 491
Divisors of 564
List of positive integer divisors of 564 that divides 564 without a remainder.
1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
Greatest Common Divisior
We found the divisors of 395, 169, 491, 564 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 395, 169, 491, 564 is 1.
Therefore, GCD of numbers 395, 169, 491, 564 is 1
Given Input Data is 395, 169, 491, 564
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 395 is 5 x 79
Prime Factorization of 169 is 13 x 13
Prime Factorization of 491 is 491
Prime Factorization of 564 is 2 x 2 x 3 x 47
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, 169) = 66755
GCD(395, 169) = ( 395 x 169 ) / 66755
GCD(395, 169) = 66755 / 66755
GCD(395, 169) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 491
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 491) = 491
GCD(1, 491) = ( 1 x 491 ) / 491
GCD(1, 491) = 491 / 491
GCD(1, 491) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 564
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 564) = 564
GCD(1, 564) = ( 1 x 564 ) / 564
GCD(1, 564) = 564 / 564
GCD(1, 564) = 1
GCD of 395, 169, 491, 564 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 395, 169, 491, 564?
GCD of 395, 169, 491, 564 is 1
2. Where do I get the detailed procedure to find GCD of 395, 169, 491, 564?
You can find a detailed procedure to find GCD of 395, 169, 491, 564 on our page.
3. How to find GCD of 395, 169, 491, 564 on a calculator?
You can find the GCD of 395, 169, 491, 564 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.