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 188, 642, 404, 245 i.e. 1 largest integer that divides all the numbers equally.
GCD of 188, 642, 404, 245 is 1
GCD(188, 642, 404, 245) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 188, 642, 404, 245 is 1
GCD(188, 642, 404, 245) = 1
Given Input numbers are 188, 642, 404, 245
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 188
List of positive integer divisors of 188 that divides 188 without a remainder.
1, 2, 4, 47, 94, 188
Divisors of 642
List of positive integer divisors of 642 that divides 642 without a remainder.
1, 2, 3, 6, 107, 214, 321, 642
Divisors of 404
List of positive integer divisors of 404 that divides 404 without a remainder.
1, 2, 4, 101, 202, 404
Divisors of 245
List of positive integer divisors of 245 that divides 245 without a remainder.
1, 5, 7, 35, 49, 245
Greatest Common Divisior
We found the divisors of 188, 642, 404, 245 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 188, 642, 404, 245 is 1.
Therefore, GCD of numbers 188, 642, 404, 245 is 1
Given Input Data is 188, 642, 404, 245
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 188 is 2 x 2 x 47
Prime Factorization of 642 is 2 x 3 x 107
Prime Factorization of 404 is 2 x 2 x 101
Prime Factorization of 245 is 5 x 7 x 7
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(188, 642) = 60348
GCD(188, 642) = ( 188 x 642 ) / 60348
GCD(188, 642) = 120696 / 60348
GCD(188, 642) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 404
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 404) = 404
GCD(2, 404) = ( 2 x 404 ) / 404
GCD(2, 404) = 808 / 404
GCD(2, 404) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 245
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 245) = 490
GCD(2, 245) = ( 2 x 245 ) / 490
GCD(2, 245) = 490 / 490
GCD(2, 245) = 1
GCD of 188, 642, 404, 245 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 188, 642, 404, 245?
GCD of 188, 642, 404, 245 is 1
2. Where do I get the detailed procedure to find GCD of 188, 642, 404, 245?
You can find a detailed procedure to find GCD of 188, 642, 404, 245 on our page.
3. How to find GCD of 188, 642, 404, 245 on a calculator?
You can find the GCD of 188, 642, 404, 245 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.