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 864, 371, 21, 178 i.e. 1 largest integer that divides all the numbers equally.
GCD of 864, 371, 21, 178 is 1
GCD(864, 371, 21, 178) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 864, 371, 21, 178 is 1
GCD(864, 371, 21, 178) = 1
Given Input numbers are 864, 371, 21, 178
To find the GCD of numbers using factoring list out all the divisors of each number
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 371
List of positive integer divisors of 371 that divides 371 without a remainder.
1, 7, 53, 371
Divisors of 21
List of positive integer divisors of 21 that divides 21 without a remainder.
1, 3, 7, 21
Divisors of 178
List of positive integer divisors of 178 that divides 178 without a remainder.
1, 2, 89, 178
Greatest Common Divisior
We found the divisors of 864, 371, 21, 178 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 864, 371, 21, 178 is 1.
Therefore, GCD of numbers 864, 371, 21, 178 is 1
Given Input Data is 864, 371, 21, 178
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 864 is 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3
Prime Factorization of 371 is 7 x 53
Prime Factorization of 21 is 3 x 7
Prime Factorization of 178 is 2 x 89
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(864, 371) = 320544
GCD(864, 371) = ( 864 x 371 ) / 320544
GCD(864, 371) = 320544 / 320544
GCD(864, 371) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 21
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 21) = 21
GCD(1, 21) = ( 1 x 21 ) / 21
GCD(1, 21) = 21 / 21
GCD(1, 21) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 178
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 178) = 178
GCD(1, 178) = ( 1 x 178 ) / 178
GCD(1, 178) = 178 / 178
GCD(1, 178) = 1
GCD of 864, 371, 21, 178 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 864, 371, 21, 178?
GCD of 864, 371, 21, 178 is 1
2. Where do I get the detailed procedure to find GCD of 864, 371, 21, 178?
You can find a detailed procedure to find GCD of 864, 371, 21, 178 on our page.
3. How to find GCD of 864, 371, 21, 178 on a calculator?
You can find the GCD of 864, 371, 21, 178 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.