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 414, 182, 370, 363 i.e. 1 largest integer that divides all the numbers equally.
GCD of 414, 182, 370, 363 is 1
GCD(414, 182, 370, 363) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 414, 182, 370, 363 is 1
GCD(414, 182, 370, 363) = 1
Given Input numbers are 414, 182, 370, 363
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 414
List of positive integer divisors of 414 that divides 414 without a remainder.
1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
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 370
List of positive integer divisors of 370 that divides 370 without a remainder.
1, 2, 5, 10, 37, 74, 185, 370
Divisors of 363
List of positive integer divisors of 363 that divides 363 without a remainder.
1, 3, 11, 33, 121, 363
Greatest Common Divisior
We found the divisors of 414, 182, 370, 363 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 414, 182, 370, 363 is 1.
Therefore, GCD of numbers 414, 182, 370, 363 is 1
Given Input Data is 414, 182, 370, 363
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 414 is 2 x 3 x 3 x 23
Prime Factorization of 182 is 2 x 7 x 13
Prime Factorization of 370 is 2 x 5 x 37
Prime Factorization of 363 is 3 x 11 x 11
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(414, 182) = 37674
GCD(414, 182) = ( 414 x 182 ) / 37674
GCD(414, 182) = 75348 / 37674
GCD(414, 182) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 370
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 370) = 370
GCD(2, 370) = ( 2 x 370 ) / 370
GCD(2, 370) = 740 / 370
GCD(2, 370) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 363
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 363) = 726
GCD(2, 363) = ( 2 x 363 ) / 726
GCD(2, 363) = 726 / 726
GCD(2, 363) = 1
GCD of 414, 182, 370, 363 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 414, 182, 370, 363?
GCD of 414, 182, 370, 363 is 1
2. Where do I get the detailed procedure to find GCD of 414, 182, 370, 363?
You can find a detailed procedure to find GCD of 414, 182, 370, 363 on our page.
3. How to find GCD of 414, 182, 370, 363 on a calculator?
You can find the GCD of 414, 182, 370, 363 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.