GCD of 163, 209, 355, 138 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 163, 209, 355, 138 quickly. Get the easiest ways to solve the greatest common divisor of 163, 209, 355, 138 i.e 1 in different methods as follows.
Given Input numbers are 163, 209, 355, 138
In the factoring method, we have to find the divisors of all numbers
Divisors of 163 :
The positive integer divisors of 163 that completely divides 163 are.
1, 163
Divisors of 209 :
The positive integer divisors of 209 that completely divides 209 are.
1, 11, 19, 209
Divisors of 355 :
The positive integer divisors of 355 that completely divides 355 are.
1, 5, 71, 355
Divisors of 138 :
The positive integer divisors of 138 that completely divides 138 are.
1, 2, 3, 6, 23, 46, 69, 138
GCD of numbers is the greatest common divisor
So, the GCD (163, 209, 355, 138) = 1.
Given numbers are 163, 209, 355, 138
The list of prime factors of all numbers are
Prime factors of 163 are 163
Prime factors of 209 are 11 x 19
Prime factors of 355 are 5 x 71
Prime factors of 138 are 2 x 3 x 23
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 163, 209, 355, 138 using LCM Formula
Given numbers are 163, 209, 355, 138
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(163, 209) = 34067
GCD(163, 209) = ( 163 x 209 ) / 34067
= 163 / 209
= 163
Step2:
LCM(1, 355) = 355
GCD(1, 355) = ( 1 x 355 ) / 355
= 1 / 355
= 1
Step3:
LCM(1, 138) = 138
GCD(1, 138) = ( 1 x 138 ) / 138
= 1 / 138
= 1
So, Greatest Common Divisor of 163, 209, 355, 138 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 163, 209, 355, 138
Given numbers are 163, 209, 355, 138
The greatest common divisor of numbers 163, 209, 355, 138 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 163, 209, 355, 138 is 1.
FAQs on GCD of 163, 209, 355, 138 Calculator
1. What is the GCD of 163, 209, 355, 138?
GCD of given numbers 163, 209, 355, 138 is 1
2. How to calculate the greatest common divisor of 163, 209, 355, 138?
We can find the highest common divisor of 163, 209, 355, 138 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 163, 209, 355, 138 i.e 1.
3. How can I use the GCD of 163, 209, 355, 138Calculator?
Out the numbers 163, 209, 355, 138 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.