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, 854, 58, 587 i.e. 1 largest integer that divides all the numbers equally.
GCD of 894, 854, 58, 587 is 1
GCD(894, 854, 58, 587) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 894, 854, 58, 587 is 1
GCD(894, 854, 58, 587) = 1
Given Input numbers are 894, 854, 58, 587
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 854
List of positive integer divisors of 854 that divides 854 without a remainder.
1, 2, 7, 14, 61, 122, 427, 854
Divisors of 58
List of positive integer divisors of 58 that divides 58 without a remainder.
1, 2, 29, 58
Divisors of 587
List of positive integer divisors of 587 that divides 587 without a remainder.
1, 587
Greatest Common Divisior
We found the divisors of 894, 854, 58, 587 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 894, 854, 58, 587 is 1.
Therefore, GCD of numbers 894, 854, 58, 587 is 1
Given Input Data is 894, 854, 58, 587
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 854 is 2 x 7 x 61
Prime Factorization of 58 is 2 x 29
Prime Factorization of 587 is 587
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, 854) = 381738
GCD(894, 854) = ( 894 x 854 ) / 381738
GCD(894, 854) = 763476 / 381738
GCD(894, 854) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 58
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 58) = 58
GCD(2, 58) = ( 2 x 58 ) / 58
GCD(2, 58) = 116 / 58
GCD(2, 58) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 587
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 587) = 1174
GCD(2, 587) = ( 2 x 587 ) / 1174
GCD(2, 587) = 1174 / 1174
GCD(2, 587) = 1
GCD of 894, 854, 58, 587 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 894, 854, 58, 587?
GCD of 894, 854, 58, 587 is 1
2. Where do I get the detailed procedure to find GCD of 894, 854, 58, 587?
You can find a detailed procedure to find GCD of 894, 854, 58, 587 on our page.
3. How to find GCD of 894, 854, 58, 587 on a calculator?
You can find the GCD of 894, 854, 58, 587 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.