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 179, 446, 10, 924 i.e. 1 largest integer that divides all the numbers equally.
GCD of 179, 446, 10, 924 is 1
GCD(179, 446, 10, 924) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 179, 446, 10, 924 is 1
GCD(179, 446, 10, 924) = 1
Given Input numbers are 179, 446, 10, 924
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 179
List of positive integer divisors of 179 that divides 179 without a remainder.
1, 179
Divisors of 446
List of positive integer divisors of 446 that divides 446 without a remainder.
1, 2, 223, 446
Divisors of 10
List of positive integer divisors of 10 that divides 10 without a remainder.
1, 2, 5, 10
Divisors of 924
List of positive integer divisors of 924 that divides 924 without a remainder.
1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
Greatest Common Divisior
We found the divisors of 179, 446, 10, 924 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 179, 446, 10, 924 is 1.
Therefore, GCD of numbers 179, 446, 10, 924 is 1
Given Input Data is 179, 446, 10, 924
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 179 is 179
Prime Factorization of 446 is 2 x 223
Prime Factorization of 10 is 2 x 5
Prime Factorization of 924 is 2 x 2 x 3 x 7 x 11
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(179, 446) = 79834
GCD(179, 446) = ( 179 x 446 ) / 79834
GCD(179, 446) = 79834 / 79834
GCD(179, 446) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 10
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 10) = 10
GCD(1, 10) = ( 1 x 10 ) / 10
GCD(1, 10) = 10 / 10
GCD(1, 10) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 924
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 924) = 924
GCD(1, 924) = ( 1 x 924 ) / 924
GCD(1, 924) = 924 / 924
GCD(1, 924) = 1
GCD of 179, 446, 10, 924 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 179, 446, 10, 924?
GCD of 179, 446, 10, 924 is 1
2. Where do I get the detailed procedure to find GCD of 179, 446, 10, 924?
You can find a detailed procedure to find GCD of 179, 446, 10, 924 on our page.
3. How to find GCD of 179, 446, 10, 924 on a calculator?
You can find the GCD of 179, 446, 10, 924 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.