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, 824, 33, 177 i.e. 1 largest integer that divides all the numbers equally.
GCD of 928, 824, 33, 177 is 1
GCD(928, 824, 33, 177) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 928, 824, 33, 177 is 1
GCD(928, 824, 33, 177) = 1
Given Input numbers are 928, 824, 33, 177
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 824
List of positive integer divisors of 824 that divides 824 without a remainder.
1, 2, 4, 8, 103, 206, 412, 824
Divisors of 33
List of positive integer divisors of 33 that divides 33 without a remainder.
1, 3, 11, 33
Divisors of 177
List of positive integer divisors of 177 that divides 177 without a remainder.
1, 3, 59, 177
Greatest Common Divisior
We found the divisors of 928, 824, 33, 177 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 928, 824, 33, 177 is 1.
Therefore, GCD of numbers 928, 824, 33, 177 is 1
Given Input Data is 928, 824, 33, 177
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 824 is 2 x 2 x 2 x 103
Prime Factorization of 33 is 3 x 11
Prime Factorization of 177 is 3 x 59
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, 824) = 95584
GCD(928, 824) = ( 928 x 824 ) / 95584
GCD(928, 824) = 764672 / 95584
GCD(928, 824) = 8
Step2:
Here we consider the GCD from the above i.e. 8 as first number and the next as 33
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 33) = 264
GCD(8, 33) = ( 8 x 33 ) / 264
GCD(8, 33) = 264 / 264
GCD(8, 33) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 177
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 177) = 177
GCD(1, 177) = ( 1 x 177 ) / 177
GCD(1, 177) = 177 / 177
GCD(1, 177) = 1
GCD of 928, 824, 33, 177 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 928, 824, 33, 177?
GCD of 928, 824, 33, 177 is 1
2. Where do I get the detailed procedure to find GCD of 928, 824, 33, 177?
You can find a detailed procedure to find GCD of 928, 824, 33, 177 on our page.
3. How to find GCD of 928, 824, 33, 177 on a calculator?
You can find the GCD of 928, 824, 33, 177 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.