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 349, 162, 71, 859 i.e. 1 largest integer that divides all the numbers equally.
GCD of 349, 162, 71, 859 is 1
GCD(349, 162, 71, 859) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 349, 162, 71, 859 is 1
GCD(349, 162, 71, 859) = 1
Given Input numbers are 349, 162, 71, 859
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 349
List of positive integer divisors of 349 that divides 349 without a remainder.
1, 349
Divisors of 162
List of positive integer divisors of 162 that divides 162 without a remainder.
1, 2, 3, 6, 9, 18, 27, 54, 81, 162
Divisors of 71
List of positive integer divisors of 71 that divides 71 without a remainder.
1, 71
Divisors of 859
List of positive integer divisors of 859 that divides 859 without a remainder.
1, 859
Greatest Common Divisior
We found the divisors of 349, 162, 71, 859 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 349, 162, 71, 859 is 1.
Therefore, GCD of numbers 349, 162, 71, 859 is 1
Given Input Data is 349, 162, 71, 859
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 349 is 349
Prime Factorization of 162 is 2 x 3 x 3 x 3 x 3
Prime Factorization of 71 is 71
Prime Factorization of 859 is 859
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(349, 162) = 56538
GCD(349, 162) = ( 349 x 162 ) / 56538
GCD(349, 162) = 56538 / 56538
GCD(349, 162) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 71
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 71) = 71
GCD(1, 71) = ( 1 x 71 ) / 71
GCD(1, 71) = 71 / 71
GCD(1, 71) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 859
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 859) = 859
GCD(1, 859) = ( 1 x 859 ) / 859
GCD(1, 859) = 859 / 859
GCD(1, 859) = 1
GCD of 349, 162, 71, 859 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 349, 162, 71, 859?
GCD of 349, 162, 71, 859 is 1
2. Where do I get the detailed procedure to find GCD of 349, 162, 71, 859?
You can find a detailed procedure to find GCD of 349, 162, 71, 859 on our page.
3. How to find GCD of 349, 162, 71, 859 on a calculator?
You can find the GCD of 349, 162, 71, 859 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.