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 159, 696, 342, 463 i.e. 1 largest integer that divides all the numbers equally.
GCD of 159, 696, 342, 463 is 1
GCD(159, 696, 342, 463) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 159, 696, 342, 463 is 1
GCD(159, 696, 342, 463) = 1
Given Input numbers are 159, 696, 342, 463
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 159
List of positive integer divisors of 159 that divides 159 without a remainder.
1, 3, 53, 159
Divisors of 696
List of positive integer divisors of 696 that divides 696 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
Divisors of 342
List of positive integer divisors of 342 that divides 342 without a remainder.
1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
Divisors of 463
List of positive integer divisors of 463 that divides 463 without a remainder.
1, 463
Greatest Common Divisior
We found the divisors of 159, 696, 342, 463 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 159, 696, 342, 463 is 1.
Therefore, GCD of numbers 159, 696, 342, 463 is 1
Given Input Data is 159, 696, 342, 463
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 159 is 3 x 53
Prime Factorization of 696 is 2 x 2 x 2 x 3 x 29
Prime Factorization of 342 is 2 x 3 x 3 x 19
Prime Factorization of 463 is 463
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(159, 696) = 36888
GCD(159, 696) = ( 159 x 696 ) / 36888
GCD(159, 696) = 110664 / 36888
GCD(159, 696) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 342
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 342) = 342
GCD(3, 342) = ( 3 x 342 ) / 342
GCD(3, 342) = 1026 / 342
GCD(3, 342) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 463
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 463) = 1389
GCD(3, 463) = ( 3 x 463 ) / 1389
GCD(3, 463) = 1389 / 1389
GCD(3, 463) = 1
GCD of 159, 696, 342, 463 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 159, 696, 342, 463?
GCD of 159, 696, 342, 463 is 1
2. Where do I get the detailed procedure to find GCD of 159, 696, 342, 463?
You can find a detailed procedure to find GCD of 159, 696, 342, 463 on our page.
3. How to find GCD of 159, 696, 342, 463 on a calculator?
You can find the GCD of 159, 696, 342, 463 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.