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, 378, 256, 146 i.e. 1 largest integer that divides all the numbers equally.
GCD of 179, 378, 256, 146 is 1
GCD(179, 378, 256, 146) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 179, 378, 256, 146 is 1
GCD(179, 378, 256, 146) = 1
Given Input numbers are 179, 378, 256, 146
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 378
List of positive integer divisors of 378 that divides 378 without a remainder.
1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
Divisors of 256
List of positive integer divisors of 256 that divides 256 without a remainder.
1, 2, 4, 8, 16, 32, 64, 128, 256
Divisors of 146
List of positive integer divisors of 146 that divides 146 without a remainder.
1, 2, 73, 146
Greatest Common Divisior
We found the divisors of 179, 378, 256, 146 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 179, 378, 256, 146 is 1.
Therefore, GCD of numbers 179, 378, 256, 146 is 1
Given Input Data is 179, 378, 256, 146
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 179 is 179
Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7
Prime Factorization of 256 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2
Prime Factorization of 146 is 2 x 73
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, 378) = 67662
GCD(179, 378) = ( 179 x 378 ) / 67662
GCD(179, 378) = 67662 / 67662
GCD(179, 378) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 256
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 256) = 256
GCD(1, 256) = ( 1 x 256 ) / 256
GCD(1, 256) = 256 / 256
GCD(1, 256) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 146
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 146) = 146
GCD(1, 146) = ( 1 x 146 ) / 146
GCD(1, 146) = 146 / 146
GCD(1, 146) = 1
GCD of 179, 378, 256, 146 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 179, 378, 256, 146?
GCD of 179, 378, 256, 146 is 1
2. Where do I get the detailed procedure to find GCD of 179, 378, 256, 146?
You can find a detailed procedure to find GCD of 179, 378, 256, 146 on our page.
3. How to find GCD of 179, 378, 256, 146 on a calculator?
You can find the GCD of 179, 378, 256, 146 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.