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 346, 162, 549, 177 i.e. 1 largest integer that divides all the numbers equally.
GCD of 346, 162, 549, 177 is 1
GCD(346, 162, 549, 177) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 346, 162, 549, 177 is 1
GCD(346, 162, 549, 177) = 1
Given Input numbers are 346, 162, 549, 177
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 346
List of positive integer divisors of 346 that divides 346 without a remainder.
1, 2, 173, 346
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 549
List of positive integer divisors of 549 that divides 549 without a remainder.
1, 3, 9, 61, 183, 549
Divisors of 177
List of positive integer divisors of 177 that divides 177 without a remainder.
1, 3, 59, 177
Greatest Common Divisior
We found the divisors of 346, 162, 549, 177 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 346, 162, 549, 177 is 1.
Therefore, GCD of numbers 346, 162, 549, 177 is 1
Given Input Data is 346, 162, 549, 177
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 346 is 2 x 173
Prime Factorization of 162 is 2 x 3 x 3 x 3 x 3
Prime Factorization of 549 is 3 x 3 x 61
Prime Factorization of 177 is 3 x 59
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(346, 162) = 28026
GCD(346, 162) = ( 346 x 162 ) / 28026
GCD(346, 162) = 56052 / 28026
GCD(346, 162) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 549
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 549) = 1098
GCD(2, 549) = ( 2 x 549 ) / 1098
GCD(2, 549) = 1098 / 1098
GCD(2, 549) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 177
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 177) = 177
GCD(1, 177) = ( 1 x 177 ) / 177
GCD(1, 177) = 177 / 177
GCD(1, 177) = 1
GCD of 346, 162, 549, 177 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 346, 162, 549, 177?
GCD of 346, 162, 549, 177 is 1
2. Where do I get the detailed procedure to find GCD of 346, 162, 549, 177?
You can find a detailed procedure to find GCD of 346, 162, 549, 177 on our page.
3. How to find GCD of 346, 162, 549, 177 on a calculator?
You can find the GCD of 346, 162, 549, 177 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.