GCD of 138, 213, 193 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 138, 213, 193 quickly. Get the easiest ways to solve the greatest common divisor of 138, 213, 193 i.e 1 in different methods as follows.
Given Input numbers are 138, 213, 193
In the factoring method, we have to find the divisors of all numbers
Divisors of 138 :
The positive integer divisors of 138 that completely divides 138 are.
1, 2, 3, 6, 23, 46, 69, 138
Divisors of 213 :
The positive integer divisors of 213 that completely divides 213 are.
1, 3, 71, 213
Divisors of 193 :
The positive integer divisors of 193 that completely divides 193 are.
1, 193
GCD of numbers is the greatest common divisor
So, the GCD (138, 213, 193) = 1.
Given numbers are 138, 213, 193
The list of prime factors of all numbers are
Prime factors of 138 are 2 x 3 x 23
Prime factors of 213 are 3 x 71
Prime factors of 193 are 193
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 138, 213, 193 using LCM Formula
Given numbers are 138, 213, 193
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(138, 213) = 9798
GCD(138, 213) = ( 138 x 213 ) / 9798
= 138 / 213
= 138
Step2:
LCM(3, 193) = 579
GCD(3, 193) = ( 3 x 193 ) / 579
= 3 / 193
= 3
So, Greatest Common Divisor of 138, 213, 193 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 138, 213, 193
Given numbers are 138, 213, 193
The greatest common divisor of numbers 138, 213, 193 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 138, 213, 193 is 1.
FAQs on GCD of 138, 213, 193 Calculator
1. What is the GCD of 138, 213, 193?
GCD of given numbers 138, 213, 193 is 1
2. How to calculate the greatest common divisor of 138, 213, 193?
We can find the highest common divisor of 138, 213, 193 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 138, 213, 193 i.e 1.
3. How can I use the GCD of 138, 213, 193Calculator?
Out the numbers 138, 213, 193 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.