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 316, 417, 64, 353 i.e. 1 largest integer that divides all the numbers equally.
GCD of 316, 417, 64, 353 is 1
GCD(316, 417, 64, 353) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 316, 417, 64, 353 is 1
GCD(316, 417, 64, 353) = 1
Given Input numbers are 316, 417, 64, 353
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 316
List of positive integer divisors of 316 that divides 316 without a remainder.
1, 2, 4, 79, 158, 316
Divisors of 417
List of positive integer divisors of 417 that divides 417 without a remainder.
1, 3, 139, 417
Divisors of 64
List of positive integer divisors of 64 that divides 64 without a remainder.
1, 2, 4, 8, 16, 32, 64
Divisors of 353
List of positive integer divisors of 353 that divides 353 without a remainder.
1, 353
Greatest Common Divisior
We found the divisors of 316, 417, 64, 353 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 316, 417, 64, 353 is 1.
Therefore, GCD of numbers 316, 417, 64, 353 is 1
Given Input Data is 316, 417, 64, 353
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 316 is 2 x 2 x 79
Prime Factorization of 417 is 3 x 139
Prime Factorization of 64 is 2 x 2 x 2 x 2 x 2 x 2
Prime Factorization of 353 is 353
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(316, 417) = 131772
GCD(316, 417) = ( 316 x 417 ) / 131772
GCD(316, 417) = 131772 / 131772
GCD(316, 417) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 64
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 64) = 64
GCD(1, 64) = ( 1 x 64 ) / 64
GCD(1, 64) = 64 / 64
GCD(1, 64) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 353
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 353) = 353
GCD(1, 353) = ( 1 x 353 ) / 353
GCD(1, 353) = 353 / 353
GCD(1, 353) = 1
GCD of 316, 417, 64, 353 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 316, 417, 64, 353?
GCD of 316, 417, 64, 353 is 1
2. Where do I get the detailed procedure to find GCD of 316, 417, 64, 353?
You can find a detailed procedure to find GCD of 316, 417, 64, 353 on our page.
3. How to find GCD of 316, 417, 64, 353 on a calculator?
You can find the GCD of 316, 417, 64, 353 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.