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 861, 894, 36, 182 i.e. 1 largest integer that divides all the numbers equally.
GCD of 861, 894, 36, 182 is 1
GCD(861, 894, 36, 182) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 861, 894, 36, 182 is 1
GCD(861, 894, 36, 182) = 1
Given Input numbers are 861, 894, 36, 182
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 861
List of positive integer divisors of 861 that divides 861 without a remainder.
1, 3, 7, 21, 41, 123, 287, 861
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 36
List of positive integer divisors of 36 that divides 36 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 36
Divisors of 182
List of positive integer divisors of 182 that divides 182 without a remainder.
1, 2, 7, 13, 14, 26, 91, 182
Greatest Common Divisior
We found the divisors of 861, 894, 36, 182 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 861, 894, 36, 182 is 1.
Therefore, GCD of numbers 861, 894, 36, 182 is 1
Given Input Data is 861, 894, 36, 182
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 861 is 3 x 7 x 41
Prime Factorization of 894 is 2 x 3 x 149
Prime Factorization of 36 is 2 x 2 x 3 x 3
Prime Factorization of 182 is 2 x 7 x 13
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(861, 894) = 256578
GCD(861, 894) = ( 861 x 894 ) / 256578
GCD(861, 894) = 769734 / 256578
GCD(861, 894) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 36
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 36) = 36
GCD(3, 36) = ( 3 x 36 ) / 36
GCD(3, 36) = 108 / 36
GCD(3, 36) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 182
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 182) = 546
GCD(3, 182) = ( 3 x 182 ) / 546
GCD(3, 182) = 546 / 546
GCD(3, 182) = 1
GCD of 861, 894, 36, 182 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 861, 894, 36, 182?
GCD of 861, 894, 36, 182 is 1
2. Where do I get the detailed procedure to find GCD of 861, 894, 36, 182?
You can find a detailed procedure to find GCD of 861, 894, 36, 182 on our page.
3. How to find GCD of 861, 894, 36, 182 on a calculator?
You can find the GCD of 861, 894, 36, 182 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.