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, 222, 182, 351 i.e. 1 largest integer that divides all the numbers equally.
GCD of 894, 222, 182, 351 is 1
GCD(894, 222, 182, 351) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 894, 222, 182, 351 is 1
GCD(894, 222, 182, 351) = 1
Given Input numbers are 894, 222, 182, 351
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 222
List of positive integer divisors of 222 that divides 222 without a remainder.
1, 2, 3, 6, 37, 74, 111, 222
Divisors of 182
List of positive integer divisors of 182 that divides 182 without a remainder.
1, 2, 7, 13, 14, 26, 91, 182
Divisors of 351
List of positive integer divisors of 351 that divides 351 without a remainder.
1, 3, 9, 13, 27, 39, 117, 351
Greatest Common Divisior
We found the divisors of 894, 222, 182, 351 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 894, 222, 182, 351 is 1.
Therefore, GCD of numbers 894, 222, 182, 351 is 1
Given Input Data is 894, 222, 182, 351
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 222 is 2 x 3 x 37
Prime Factorization of 182 is 2 x 7 x 13
Prime Factorization of 351 is 3 x 3 x 3 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(894, 222) = 33078
GCD(894, 222) = ( 894 x 222 ) / 33078
GCD(894, 222) = 198468 / 33078
GCD(894, 222) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 182
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 182) = 546
GCD(6, 182) = ( 6 x 182 ) / 546
GCD(6, 182) = 1092 / 546
GCD(6, 182) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 351
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 351) = 702
GCD(2, 351) = ( 2 x 351 ) / 702
GCD(2, 351) = 702 / 702
GCD(2, 351) = 1
GCD of 894, 222, 182, 351 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 894, 222, 182, 351?
GCD of 894, 222, 182, 351 is 1
2. Where do I get the detailed procedure to find GCD of 894, 222, 182, 351?
You can find a detailed procedure to find GCD of 894, 222, 182, 351 on our page.
3. How to find GCD of 894, 222, 182, 351 on a calculator?
You can find the GCD of 894, 222, 182, 351 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.