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 156, 723, 51, 160 i.e. 1 largest integer that divides all the numbers equally.
GCD of 156, 723, 51, 160 is 1
GCD(156, 723, 51, 160) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 156, 723, 51, 160 is 1
GCD(156, 723, 51, 160) = 1
Given Input numbers are 156, 723, 51, 160
To find the GCD of numbers using factoring list out all the divisors of each number
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 723
List of positive integer divisors of 723 that divides 723 without a remainder.
1, 3, 241, 723
Divisors of 51
List of positive integer divisors of 51 that divides 51 without a remainder.
1, 3, 17, 51
Divisors of 160
List of positive integer divisors of 160 that divides 160 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
Greatest Common Divisior
We found the divisors of 156, 723, 51, 160 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 156, 723, 51, 160 is 1.
Therefore, GCD of numbers 156, 723, 51, 160 is 1
Given Input Data is 156, 723, 51, 160
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 156 is 2 x 2 x 3 x 13
Prime Factorization of 723 is 3 x 241
Prime Factorization of 51 is 3 x 17
Prime Factorization of 160 is 2 x 2 x 2 x 2 x 2 x 5
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(156, 723) = 37596
GCD(156, 723) = ( 156 x 723 ) / 37596
GCD(156, 723) = 112788 / 37596
GCD(156, 723) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 51
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 51) = 51
GCD(3, 51) = ( 3 x 51 ) / 51
GCD(3, 51) = 153 / 51
GCD(3, 51) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 160
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 160) = 480
GCD(3, 160) = ( 3 x 160 ) / 480
GCD(3, 160) = 480 / 480
GCD(3, 160) = 1
GCD of 156, 723, 51, 160 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 156, 723, 51, 160?
GCD of 156, 723, 51, 160 is 1
2. Where do I get the detailed procedure to find GCD of 156, 723, 51, 160?
You can find a detailed procedure to find GCD of 156, 723, 51, 160 on our page.
3. How to find GCD of 156, 723, 51, 160 on a calculator?
You can find the GCD of 156, 723, 51, 160 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.