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 42, 348, 339, 179 i.e. 1 largest integer that divides all the numbers equally.
GCD of 42, 348, 339, 179 is 1
GCD(42, 348, 339, 179) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 42, 348, 339, 179 is 1
GCD(42, 348, 339, 179) = 1
Given Input numbers are 42, 348, 339, 179
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 42
List of positive integer divisors of 42 that divides 42 without a remainder.
1, 2, 3, 6, 7, 14, 21, 42
Divisors of 348
List of positive integer divisors of 348 that divides 348 without a remainder.
1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
Divisors of 339
List of positive integer divisors of 339 that divides 339 without a remainder.
1, 3, 113, 339
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 42, 348, 339, 179 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 42, 348, 339, 179 is 1.
Therefore, GCD of numbers 42, 348, 339, 179 is 1
Given Input Data is 42, 348, 339, 179
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 42 is 2 x 3 x 7
Prime Factorization of 348 is 2 x 2 x 3 x 29
Prime Factorization of 339 is 3 x 113
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(42, 348) = 2436
GCD(42, 348) = ( 42 x 348 ) / 2436
GCD(42, 348) = 14616 / 2436
GCD(42, 348) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 339
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 339) = 678
GCD(6, 339) = ( 6 x 339 ) / 678
GCD(6, 339) = 2034 / 678
GCD(6, 339) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 179
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 179) = 537
GCD(3, 179) = ( 3 x 179 ) / 537
GCD(3, 179) = 537 / 537
GCD(3, 179) = 1
GCD of 42, 348, 339, 179 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 42, 348, 339, 179?
GCD of 42, 348, 339, 179 is 1
2. Where do I get the detailed procedure to find GCD of 42, 348, 339, 179?
You can find a detailed procedure to find GCD of 42, 348, 339, 179 on our page.
3. How to find GCD of 42, 348, 339, 179 on a calculator?
You can find the GCD of 42, 348, 339, 179 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.