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, 864, 890, 617 i.e. 1 largest integer that divides all the numbers equally.
GCD of 316, 864, 890, 617 is 1
GCD(316, 864, 890, 617) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 316, 864, 890, 617 is 1
GCD(316, 864, 890, 617) = 1
Given Input numbers are 316, 864, 890, 617
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 864
List of positive integer divisors of 864 that divides 864 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
Divisors of 890
List of positive integer divisors of 890 that divides 890 without a remainder.
1, 2, 5, 10, 89, 178, 445, 890
Divisors of 617
List of positive integer divisors of 617 that divides 617 without a remainder.
1, 617
Greatest Common Divisior
We found the divisors of 316, 864, 890, 617 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 316, 864, 890, 617 is 1.
Therefore, GCD of numbers 316, 864, 890, 617 is 1
Given Input Data is 316, 864, 890, 617
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 864 is 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3
Prime Factorization of 890 is 2 x 5 x 89
Prime Factorization of 617 is 617
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, 864) = 68256
GCD(316, 864) = ( 316 x 864 ) / 68256
GCD(316, 864) = 273024 / 68256
GCD(316, 864) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 890
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 890) = 1780
GCD(4, 890) = ( 4 x 890 ) / 1780
GCD(4, 890) = 3560 / 1780
GCD(4, 890) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 617
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 617) = 1234
GCD(2, 617) = ( 2 x 617 ) / 1234
GCD(2, 617) = 1234 / 1234
GCD(2, 617) = 1
GCD of 316, 864, 890, 617 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 316, 864, 890, 617?
GCD of 316, 864, 890, 617 is 1
2. Where do I get the detailed procedure to find GCD of 316, 864, 890, 617?
You can find a detailed procedure to find GCD of 316, 864, 890, 617 on our page.
3. How to find GCD of 316, 864, 890, 617 on a calculator?
You can find the GCD of 316, 864, 890, 617 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.