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 146, 156, 51, 179 i.e. 1 largest integer that divides all the numbers equally.
GCD of 146, 156, 51, 179 is 1
GCD(146, 156, 51, 179) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 146, 156, 51, 179 is 1
GCD(146, 156, 51, 179) = 1
Given Input numbers are 146, 156, 51, 179
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 146
List of positive integer divisors of 146 that divides 146 without a remainder.
1, 2, 73, 146
Divisors of 156
List of positive integer divisors of 156 that divides 156 without a remainder.
1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
Divisors of 51
List of positive integer divisors of 51 that divides 51 without a remainder.
1, 3, 17, 51
Divisors of 179
List of positive integer divisors of 179 that divides 179 without a remainder.
1, 179
Greatest Common Divisior
We found the divisors of 146, 156, 51, 179 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 146, 156, 51, 179 is 1.
Therefore, GCD of numbers 146, 156, 51, 179 is 1
Given Input Data is 146, 156, 51, 179
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 146 is 2 x 73
Prime Factorization of 156 is 2 x 2 x 3 x 13
Prime Factorization of 51 is 3 x 17
Prime Factorization of 179 is 179
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(146, 156) = 11388
GCD(146, 156) = ( 146 x 156 ) / 11388
GCD(146, 156) = 22776 / 11388
GCD(146, 156) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 51
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 51) = 102
GCD(2, 51) = ( 2 x 51 ) / 102
GCD(2, 51) = 102 / 102
GCD(2, 51) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 179
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 179) = 179
GCD(1, 179) = ( 1 x 179 ) / 179
GCD(1, 179) = 179 / 179
GCD(1, 179) = 1
GCD of 146, 156, 51, 179 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 146, 156, 51, 179?
GCD of 146, 156, 51, 179 is 1
2. Where do I get the detailed procedure to find GCD of 146, 156, 51, 179?
You can find a detailed procedure to find GCD of 146, 156, 51, 179 on our page.
3. How to find GCD of 146, 156, 51, 179 on a calculator?
You can find the GCD of 146, 156, 51, 179 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.