GCD of 180, 213, 249 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 180, 213, 249 quickly. Get the easiest ways to solve the greatest common divisor of 180, 213, 249 i.e 3 in different methods as follows.
Given Input numbers are 180, 213, 249
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 213 :
The positive integer divisors of 213 that completely divides 213 are.
1, 3, 71, 213
Divisors of 249 :
The positive integer divisors of 249 that completely divides 249 are.
1, 3, 83, 249
GCD of numbers is the greatest common divisor
So, the GCD (180, 213, 249) = 3.
Given numbers are 180, 213, 249
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 213 are 3 x 71
Prime factors of 249 are 3 x 83
The highest common occurrence is 31
Therefore, GCD of 180, 213, 249 is 3.
Steps to Calculate GCD of 180, 213, 249 using LCM Formula
Given numbers are 180, 213, 249
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(180, 213) = 12780
GCD(180, 213) = ( 180 x 213 ) / 12780
= 180 / 213
= 180
Step2:
LCM(3, 249) = 249
GCD(3, 249) = ( 3 x 249 ) / 249
= 3 / 249
= 3
So, Greatest Common Divisor of 180, 213, 249 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 180, 213, 249
Given numbers are 180, 213, 249
The greatest common divisor of numbers 180, 213, 249 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 180, 213, 249 is 3.
FAQs on GCD of 180, 213, 249 Calculator
1. What is the GCD of 180, 213, 249?
GCD of given numbers 180, 213, 249 is 3
2. How to calculate the greatest common divisor of 180, 213, 249?
We can find the highest common divisor of 180, 213, 249 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, 213, 249 i.e 3.
3. How can I use the GCD of 180, 213, 249Calculator?
Out the numbers 180, 213, 249 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.