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, 908, 757, 522 i.e. 1 largest integer that divides all the numbers equally.
GCD of 188, 908, 757, 522 is 1
GCD(188, 908, 757, 522) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 188, 908, 757, 522 is 1
GCD(188, 908, 757, 522) = 1
Given Input numbers are 188, 908, 757, 522
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 908
List of positive integer divisors of 908 that divides 908 without a remainder.
1, 2, 4, 227, 454, 908
Divisors of 757
List of positive integer divisors of 757 that divides 757 without a remainder.
1, 757
Divisors of 522
List of positive integer divisors of 522 that divides 522 without a remainder.
1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
Greatest Common Divisior
We found the divisors of 188, 908, 757, 522 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 188, 908, 757, 522 is 1.
Therefore, GCD of numbers 188, 908, 757, 522 is 1
Given Input Data is 188, 908, 757, 522
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 908 is 2 x 2 x 227
Prime Factorization of 757 is 757
Prime Factorization of 522 is 2 x 3 x 3 x 29
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, 908) = 42676
GCD(188, 908) = ( 188 x 908 ) / 42676
GCD(188, 908) = 170704 / 42676
GCD(188, 908) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 757
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 757) = 3028
GCD(4, 757) = ( 4 x 757 ) / 3028
GCD(4, 757) = 3028 / 3028
GCD(4, 757) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 522
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 522) = 522
GCD(1, 522) = ( 1 x 522 ) / 522
GCD(1, 522) = 522 / 522
GCD(1, 522) = 1
GCD of 188, 908, 757, 522 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 188, 908, 757, 522?
GCD of 188, 908, 757, 522 is 1
2. Where do I get the detailed procedure to find GCD of 188, 908, 757, 522?
You can find a detailed procedure to find GCD of 188, 908, 757, 522 on our page.
3. How to find GCD of 188, 908, 757, 522 on a calculator?
You can find the GCD of 188, 908, 757, 522 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.