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 928, 357, 69, 204 i.e. 1 largest integer that divides all the numbers equally.
GCD of 928, 357, 69, 204 is 1
GCD(928, 357, 69, 204) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 928, 357, 69, 204 is 1
GCD(928, 357, 69, 204) = 1
Given Input numbers are 928, 357, 69, 204
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 928
List of positive integer divisors of 928 that divides 928 without a remainder.
1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
Divisors of 357
List of positive integer divisors of 357 that divides 357 without a remainder.
1, 3, 7, 17, 21, 51, 119, 357
Divisors of 69
List of positive integer divisors of 69 that divides 69 without a remainder.
1, 3, 23, 69
Divisors of 204
List of positive integer divisors of 204 that divides 204 without a remainder.
1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
Greatest Common Divisior
We found the divisors of 928, 357, 69, 204 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 928, 357, 69, 204 is 1.
Therefore, GCD of numbers 928, 357, 69, 204 is 1
Given Input Data is 928, 357, 69, 204
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 928 is 2 x 2 x 2 x 2 x 2 x 29
Prime Factorization of 357 is 3 x 7 x 17
Prime Factorization of 69 is 3 x 23
Prime Factorization of 204 is 2 x 2 x 3 x 17
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(928, 357) = 331296
GCD(928, 357) = ( 928 x 357 ) / 331296
GCD(928, 357) = 331296 / 331296
GCD(928, 357) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 69
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 69) = 69
GCD(1, 69) = ( 1 x 69 ) / 69
GCD(1, 69) = 69 / 69
GCD(1, 69) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 204
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 204) = 204
GCD(1, 204) = ( 1 x 204 ) / 204
GCD(1, 204) = 204 / 204
GCD(1, 204) = 1
GCD of 928, 357, 69, 204 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 928, 357, 69, 204?
GCD of 928, 357, 69, 204 is 1
2. Where do I get the detailed procedure to find GCD of 928, 357, 69, 204?
You can find a detailed procedure to find GCD of 928, 357, 69, 204 on our page.
3. How to find GCD of 928, 357, 69, 204 on a calculator?
You can find the GCD of 928, 357, 69, 204 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.