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 442, 319, 95, 355 i.e. 1 largest integer that divides all the numbers equally.
GCD of 442, 319, 95, 355 is 1
GCD(442, 319, 95, 355) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 442, 319, 95, 355 is 1
GCD(442, 319, 95, 355) = 1
Given Input numbers are 442, 319, 95, 355
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 442
List of positive integer divisors of 442 that divides 442 without a remainder.
1, 2, 13, 17, 26, 34, 221, 442
Divisors of 319
List of positive integer divisors of 319 that divides 319 without a remainder.
1, 11, 29, 319
Divisors of 95
List of positive integer divisors of 95 that divides 95 without a remainder.
1, 5, 19, 95
Divisors of 355
List of positive integer divisors of 355 that divides 355 without a remainder.
1, 5, 71, 355
Greatest Common Divisior
We found the divisors of 442, 319, 95, 355 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 442, 319, 95, 355 is 1.
Therefore, GCD of numbers 442, 319, 95, 355 is 1
Given Input Data is 442, 319, 95, 355
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 442 is 2 x 13 x 17
Prime Factorization of 319 is 11 x 29
Prime Factorization of 95 is 5 x 19
Prime Factorization of 355 is 5 x 71
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(442, 319) = 140998
GCD(442, 319) = ( 442 x 319 ) / 140998
GCD(442, 319) = 140998 / 140998
GCD(442, 319) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 95
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 95) = 95
GCD(1, 95) = ( 1 x 95 ) / 95
GCD(1, 95) = 95 / 95
GCD(1, 95) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 355
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 355) = 355
GCD(1, 355) = ( 1 x 355 ) / 355
GCD(1, 355) = 355 / 355
GCD(1, 355) = 1
GCD of 442, 319, 95, 355 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 442, 319, 95, 355?
GCD of 442, 319, 95, 355 is 1
2. Where do I get the detailed procedure to find GCD of 442, 319, 95, 355?
You can find a detailed procedure to find GCD of 442, 319, 95, 355 on our page.
3. How to find GCD of 442, 319, 95, 355 on a calculator?
You can find the GCD of 442, 319, 95, 355 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.