GCD of 195, 138, 360 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 195, 138, 360 quickly. Get the easiest ways to solve the greatest common divisor of 195, 138, 360 i.e 3 in different methods as follows.
Given Input numbers are 195, 138, 360
In the factoring method, we have to find the divisors of all numbers
Divisors of 195 :
The positive integer divisors of 195 that completely divides 195 are.
1, 3, 5, 13, 15, 39, 65, 195
Divisors of 138 :
The positive integer divisors of 138 that completely divides 138 are.
1, 2, 3, 6, 23, 46, 69, 138
Divisors of 360 :
The positive integer divisors of 360 that completely divides 360 are.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
GCD of numbers is the greatest common divisor
So, the GCD (195, 138, 360) = 3.
Given numbers are 195, 138, 360
The list of prime factors of all numbers are
Prime factors of 195 are 3 x 5 x 13
Prime factors of 138 are 2 x 3 x 23
Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5
The highest common occurrence is 31
Therefore, GCD of 195, 138, 360 is 3.
Steps to Calculate GCD of 195, 138, 360 using LCM Formula
Given numbers are 195, 138, 360
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(195, 138) = 8970
GCD(195, 138) = ( 195 x 138 ) / 8970
= 195 / 138
= 195
Step2:
LCM(3, 360) = 360
GCD(3, 360) = ( 3 x 360 ) / 360
= 3 / 360
= 3
So, Greatest Common Divisor of 195, 138, 360 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 195, 138, 360
Given numbers are 195, 138, 360
The greatest common divisor of numbers 195, 138, 360 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 195, 138, 360 is 3.
FAQs on GCD of 195, 138, 360 Calculator
1. What is the GCD of 195, 138, 360?
GCD of given numbers 195, 138, 360 is 3
2. How to calculate the greatest common divisor of 195, 138, 360?
We can find the highest common divisor of 195, 138, 360 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 195, 138, 360 i.e 3.
3. How can I use the GCD of 195, 138, 360Calculator?
Out the numbers 195, 138, 360 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.