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, 402, 92, 335 i.e. 1 largest integer that divides all the numbers equally.
GCD of 864, 402, 92, 335 is 1
GCD(864, 402, 92, 335) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 864, 402, 92, 335 is 1
GCD(864, 402, 92, 335) = 1
Given Input numbers are 864, 402, 92, 335
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 402
List of positive integer divisors of 402 that divides 402 without a remainder.
1, 2, 3, 6, 67, 134, 201, 402
Divisors of 92
List of positive integer divisors of 92 that divides 92 without a remainder.
1, 2, 4, 23, 46, 92
Divisors of 335
List of positive integer divisors of 335 that divides 335 without a remainder.
1, 5, 67, 335
Greatest Common Divisior
We found the divisors of 864, 402, 92, 335 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 864, 402, 92, 335 is 1.
Therefore, GCD of numbers 864, 402, 92, 335 is 1
Given Input Data is 864, 402, 92, 335
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 402 is 2 x 3 x 67
Prime Factorization of 92 is 2 x 2 x 23
Prime Factorization of 335 is 5 x 67
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, 402) = 57888
GCD(864, 402) = ( 864 x 402 ) / 57888
GCD(864, 402) = 347328 / 57888
GCD(864, 402) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 92
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 92) = 276
GCD(6, 92) = ( 6 x 92 ) / 276
GCD(6, 92) = 552 / 276
GCD(6, 92) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 335
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 335) = 670
GCD(2, 335) = ( 2 x 335 ) / 670
GCD(2, 335) = 670 / 670
GCD(2, 335) = 1
GCD of 864, 402, 92, 335 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 864, 402, 92, 335?
GCD of 864, 402, 92, 335 is 1
2. Where do I get the detailed procedure to find GCD of 864, 402, 92, 335?
You can find a detailed procedure to find GCD of 864, 402, 92, 335 on our page.
3. How to find GCD of 864, 402, 92, 335 on a calculator?
You can find the GCD of 864, 402, 92, 335 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.