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 894, 560, 335 i.e. 1 largest integer that divides all the numbers equally.
GCD of 894, 560, 335 is 1
GCD(894, 560, 335) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 894, 560, 335 is 1
GCD(894, 560, 335) = 1
Given Input numbers are 894, 560, 335
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 894
List of positive integer divisors of 894 that divides 894 without a remainder.
1, 2, 3, 6, 149, 298, 447, 894
Divisors of 560
List of positive integer divisors of 560 that divides 560 without a remainder.
1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
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 894, 560, 335 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 894, 560, 335 is 1.
Therefore, GCD of numbers 894, 560, 335 is 1
Given Input Data is 894, 560, 335
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 894 is 2 x 3 x 149
Prime Factorization of 560 is 2 x 2 x 2 x 2 x 5 x 7
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(894, 560) = 250320
GCD(894, 560) = ( 894 x 560 ) / 250320
GCD(894, 560) = 500640 / 250320
GCD(894, 560) = 2
Step2:
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 894, 560, 335 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 894, 560, 335?
GCD of 894, 560, 335 is 1
2. Where do I get the detailed procedure to find GCD of 894, 560, 335?
You can find a detailed procedure to find GCD of 894, 560, 335 on our page.
3. How to find GCD of 894, 560, 335 on a calculator?
You can find the GCD of 894, 560, 335 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.