GCD of 137, 138, 16 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 137, 138, 16 quickly. Get the easiest ways to solve the greatest common divisor of 137, 138, 16 i.e 1 in different methods as follows.
Given Input numbers are 137, 138, 16
In the factoring method, we have to find the divisors of all numbers
Divisors of 137 :
The positive integer divisors of 137 that completely divides 137 are.
1, 137
Divisors of 138 :
The positive integer divisors of 138 that completely divides 138 are.
1, 2, 3, 6, 23, 46, 69, 138
Divisors of 16 :
The positive integer divisors of 16 that completely divides 16 are.
1, 2, 4, 8, 16
GCD of numbers is the greatest common divisor
So, the GCD (137, 138, 16) = 1.
Given numbers are 137, 138, 16
The list of prime factors of all numbers are
Prime factors of 137 are 137
Prime factors of 138 are 2 x 3 x 23
Prime factors of 16 are 2 x 2 x 2 x 2
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 137, 138, 16 using LCM Formula
Given numbers are 137, 138, 16
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(137, 138) = 18906
GCD(137, 138) = ( 137 x 138 ) / 18906
= 137 / 138
= 137
Step2:
LCM(1, 16) = 16
GCD(1, 16) = ( 1 x 16 ) / 16
= 1 / 16
= 1
So, Greatest Common Divisor of 137, 138, 16 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 137, 138, 16
Given numbers are 137, 138, 16
The greatest common divisor of numbers 137, 138, 16 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 137, 138, 16 is 1.
FAQs on GCD of 137, 138, 16 Calculator
1. What is the GCD of 137, 138, 16?
GCD of given numbers 137, 138, 16 is 1
2. How to calculate the greatest common divisor of 137, 138, 16?
We can find the highest common divisor of 137, 138, 16 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 137, 138, 16 i.e 1.
3. How can I use the GCD of 137, 138, 16Calculator?
Out the numbers 137, 138, 16 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.