GCD of 399, 450, 213 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 399, 450, 213 quickly. Get the easiest ways to solve the greatest common divisor of 399, 450, 213 i.e 3 in different methods as follows.
Given Input numbers are 399, 450, 213
In the factoring method, we have to find the divisors of all numbers
Divisors of 399 :
The positive integer divisors of 399 that completely divides 399 are.
1, 3, 7, 19, 21, 57, 133, 399
Divisors of 450 :
The positive integer divisors of 450 that completely divides 450 are.
1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
Divisors of 213 :
The positive integer divisors of 213 that completely divides 213 are.
1, 3, 71, 213
GCD of numbers is the greatest common divisor
So, the GCD (399, 450, 213) = 3.
Given numbers are 399, 450, 213
The list of prime factors of all numbers are
Prime factors of 399 are 3 x 7 x 19
Prime factors of 450 are 2 x 3 x 3 x 5 x 5
Prime factors of 213 are 3 x 71
The highest common occurrence is 31
Therefore, GCD of 399, 450, 213 is 3.
Steps to Calculate GCD of 399, 450, 213 using LCM Formula
Given numbers are 399, 450, 213
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(399, 450) = 59850
GCD(399, 450) = ( 399 x 450 ) / 59850
= 399 / 450
= 399
Step2:
LCM(3, 213) = 213
GCD(3, 213) = ( 3 x 213 ) / 213
= 3 / 213
= 3
So, Greatest Common Divisor of 399, 450, 213 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 399, 450, 213
Given numbers are 399, 450, 213
The greatest common divisor of numbers 399, 450, 213 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 399, 450, 213 is 3.
FAQs on GCD of 399, 450, 213 Calculator
1. What is the GCD of 399, 450, 213?
GCD of given numbers 399, 450, 213 is 3
2. How to calculate the greatest common divisor of 399, 450, 213?
We can find the highest common divisor of 399, 450, 213 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 399, 450, 213 i.e 3.
3. How can I use the GCD of 399, 450, 213Calculator?
Out the numbers 399, 450, 213 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.