GCD of 180, 744, 209 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 180, 744, 209 quickly. Get the easiest ways to solve the greatest common divisor of 180, 744, 209 i.e 1 in different methods as follows.
Given Input numbers are 180, 744, 209
In the factoring method, we have to find the divisors of all numbers
Divisors of 180 :
The positive integer divisors of 180 that completely divides 180 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
Divisors of 744 :
The positive integer divisors of 744 that completely divides 744 are.
1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
Divisors of 209 :
The positive integer divisors of 209 that completely divides 209 are.
1, 11, 19, 209
GCD of numbers is the greatest common divisor
So, the GCD (180, 744, 209) = 1.
Given numbers are 180, 744, 209
The list of prime factors of all numbers are
Prime factors of 180 are 2 x 2 x 3 x 3 x 5
Prime factors of 744 are 2 x 2 x 2 x 3 x 31
Prime factors of 209 are 11 x 19
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 180, 744, 209 using LCM Formula
Given numbers are 180, 744, 209
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(180, 744) = 11160
GCD(180, 744) = ( 180 x 744 ) / 11160
= 180 / 744
= 180
Step2:
LCM(12, 209) = 2508
GCD(12, 209) = ( 12 x 209 ) / 2508
= 12 / 209
= 12
So, Greatest Common Divisor of 180, 744, 209 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 180, 744, 209
Given numbers are 180, 744, 209
The greatest common divisor of numbers 180, 744, 209 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 180, 744, 209 is 1.
FAQs on GCD of 180, 744, 209 Calculator
1. What is the GCD of 180, 744, 209?
GCD of given numbers 180, 744, 209 is 1
2. How to calculate the greatest common divisor of 180, 744, 209?
We can find the highest common divisor of 180, 744, 209 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 180, 744, 209 i.e 1.
3. How can I use the GCD of 180, 744, 209Calculator?
Out the numbers 180, 744, 209 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.