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 364, 221, 95, 334 i.e. 1 largest integer that divides all the numbers equally.
GCD of 364, 221, 95, 334 is 1
GCD(364, 221, 95, 334) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 364, 221, 95, 334 is 1
GCD(364, 221, 95, 334) = 1
Given Input numbers are 364, 221, 95, 334
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 364
List of positive integer divisors of 364 that divides 364 without a remainder.
1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
Divisors of 221
List of positive integer divisors of 221 that divides 221 without a remainder.
1, 13, 17, 221
Divisors of 95
List of positive integer divisors of 95 that divides 95 without a remainder.
1, 5, 19, 95
Divisors of 334
List of positive integer divisors of 334 that divides 334 without a remainder.
1, 2, 167, 334
Greatest Common Divisior
We found the divisors of 364, 221, 95, 334 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 364, 221, 95, 334 is 1.
Therefore, GCD of numbers 364, 221, 95, 334 is 1
Given Input Data is 364, 221, 95, 334
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 364 is 2 x 2 x 7 x 13
Prime Factorization of 221 is 13 x 17
Prime Factorization of 95 is 5 x 19
Prime Factorization of 334 is 2 x 167
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(364, 221) = 6188
GCD(364, 221) = ( 364 x 221 ) / 6188
GCD(364, 221) = 80444 / 6188
GCD(364, 221) = 13
Step2:
Here we consider the GCD from the above i.e. 13 as first number and the next as 95
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(13, 95) = 1235
GCD(13, 95) = ( 13 x 95 ) / 1235
GCD(13, 95) = 1235 / 1235
GCD(13, 95) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 334
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 334) = 334
GCD(1, 334) = ( 1 x 334 ) / 334
GCD(1, 334) = 334 / 334
GCD(1, 334) = 1
GCD of 364, 221, 95, 334 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 364, 221, 95, 334?
GCD of 364, 221, 95, 334 is 1
2. Where do I get the detailed procedure to find GCD of 364, 221, 95, 334?
You can find a detailed procedure to find GCD of 364, 221, 95, 334 on our page.
3. How to find GCD of 364, 221, 95, 334 on a calculator?
You can find the GCD of 364, 221, 95, 334 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.