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 428, 564, 161, 188 i.e. 1 largest integer that divides all the numbers equally.
GCD of 428, 564, 161, 188 is 1
GCD(428, 564, 161, 188) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 428, 564, 161, 188 is 1
GCD(428, 564, 161, 188) = 1
Given Input numbers are 428, 564, 161, 188
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 428
List of positive integer divisors of 428 that divides 428 without a remainder.
1, 2, 4, 107, 214, 428
Divisors of 564
List of positive integer divisors of 564 that divides 564 without a remainder.
1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
Divisors of 161
List of positive integer divisors of 161 that divides 161 without a remainder.
1, 7, 23, 161
Divisors of 188
List of positive integer divisors of 188 that divides 188 without a remainder.
1, 2, 4, 47, 94, 188
Greatest Common Divisior
We found the divisors of 428, 564, 161, 188 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 428, 564, 161, 188 is 1.
Therefore, GCD of numbers 428, 564, 161, 188 is 1
Given Input Data is 428, 564, 161, 188
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 428 is 2 x 2 x 107
Prime Factorization of 564 is 2 x 2 x 3 x 47
Prime Factorization of 161 is 7 x 23
Prime Factorization of 188 is 2 x 2 x 47
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(428, 564) = 60348
GCD(428, 564) = ( 428 x 564 ) / 60348
GCD(428, 564) = 241392 / 60348
GCD(428, 564) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 161
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 161) = 644
GCD(4, 161) = ( 4 x 161 ) / 644
GCD(4, 161) = 644 / 644
GCD(4, 161) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 188
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 188) = 188
GCD(1, 188) = ( 1 x 188 ) / 188
GCD(1, 188) = 188 / 188
GCD(1, 188) = 1
GCD of 428, 564, 161, 188 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 428, 564, 161, 188?
GCD of 428, 564, 161, 188 is 1
2. Where do I get the detailed procedure to find GCD of 428, 564, 161, 188?
You can find a detailed procedure to find GCD of 428, 564, 161, 188 on our page.
3. How to find GCD of 428, 564, 161, 188 on a calculator?
You can find the GCD of 428, 564, 161, 188 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.