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 184, 202, 490, 381 i.e. 1 largest integer that divides all the numbers equally.
GCD of 184, 202, 490, 381 is 1
GCD(184, 202, 490, 381) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 184, 202, 490, 381 is 1
GCD(184, 202, 490, 381) = 1
Given Input numbers are 184, 202, 490, 381
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 184
List of positive integer divisors of 184 that divides 184 without a remainder.
1, 2, 4, 8, 23, 46, 92, 184
Divisors of 202
List of positive integer divisors of 202 that divides 202 without a remainder.
1, 2, 101, 202
Divisors of 490
List of positive integer divisors of 490 that divides 490 without a remainder.
1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
Divisors of 381
List of positive integer divisors of 381 that divides 381 without a remainder.
1, 3, 127, 381
Greatest Common Divisior
We found the divisors of 184, 202, 490, 381 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 184, 202, 490, 381 is 1.
Therefore, GCD of numbers 184, 202, 490, 381 is 1
Given Input Data is 184, 202, 490, 381
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 184 is 2 x 2 x 2 x 23
Prime Factorization of 202 is 2 x 101
Prime Factorization of 490 is 2 x 5 x 7 x 7
Prime Factorization of 381 is 3 x 127
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(184, 202) = 18584
GCD(184, 202) = ( 184 x 202 ) / 18584
GCD(184, 202) = 37168 / 18584
GCD(184, 202) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 490
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 490) = 490
GCD(2, 490) = ( 2 x 490 ) / 490
GCD(2, 490) = 980 / 490
GCD(2, 490) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 381
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 381) = 762
GCD(2, 381) = ( 2 x 381 ) / 762
GCD(2, 381) = 762 / 762
GCD(2, 381) = 1
GCD of 184, 202, 490, 381 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 184, 202, 490, 381?
GCD of 184, 202, 490, 381 is 1
2. Where do I get the detailed procedure to find GCD of 184, 202, 490, 381?
You can find a detailed procedure to find GCD of 184, 202, 490, 381 on our page.
3. How to find GCD of 184, 202, 490, 381 on a calculator?
You can find the GCD of 184, 202, 490, 381 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.