GCD of 201, 345, 20 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 201, 345, 20 quickly. Get the easiest ways to solve the greatest common divisor of 201, 345, 20 i.e 1 in different methods as follows.
Given Input numbers are 201, 345, 20
In the factoring method, we have to find the divisors of all numbers
Divisors of 201 :
The positive integer divisors of 201 that completely divides 201 are.
1, 3, 67, 201
Divisors of 345 :
The positive integer divisors of 345 that completely divides 345 are.
1, 3, 5, 15, 23, 69, 115, 345
Divisors of 20 :
The positive integer divisors of 20 that completely divides 20 are.
1, 2, 4, 5, 10, 20
GCD of numbers is the greatest common divisor
So, the GCD (201, 345, 20) = 1.
Given numbers are 201, 345, 20
The list of prime factors of all numbers are
Prime factors of 201 are 3 x 67
Prime factors of 345 are 3 x 5 x 23
Prime factors of 20 are 2 x 2 x 5
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 201, 345, 20 using LCM Formula
Given numbers are 201, 345, 20
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(201, 345) = 23115
GCD(201, 345) = ( 201 x 345 ) / 23115
= 201 / 345
= 201
Step2:
LCM(3, 20) = 60
GCD(3, 20) = ( 3 x 20 ) / 60
= 3 / 20
= 3
So, Greatest Common Divisor of 201, 345, 20 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 201, 345, 20
Given numbers are 201, 345, 20
The greatest common divisor of numbers 201, 345, 20 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 201, 345, 20 is 1.
FAQs on GCD of 201, 345, 20 Calculator
1. What is the GCD of 201, 345, 20?
GCD of given numbers 201, 345, 20 is 1
2. How to calculate the greatest common divisor of 201, 345, 20?
We can find the highest common divisor of 201, 345, 20 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 201, 345, 20 i.e 1.
3. How can I use the GCD of 201, 345, 20Calculator?
Out the numbers 201, 345, 20 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.