GCD of 390, 600, 264 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 390, 600, 264 quickly. Get the easiest ways to solve the greatest common divisor of 390, 600, 264 i.e 6 in different methods as follows.
Given Input numbers are 390, 600, 264
In the factoring method, we have to find the divisors of all numbers
Divisors of 390 :
The positive integer divisors of 390 that completely divides 390 are.
1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
Divisors of 600 :
The positive integer divisors of 600 that completely divides 600 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
Divisors of 264 :
The positive integer divisors of 264 that completely divides 264 are.
1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
GCD of numbers is the greatest common divisor
So, the GCD (390, 600, 264) = 6.
Given numbers are 390, 600, 264
The list of prime factors of all numbers are
Prime factors of 390 are 2 x 3 x 5 x 13
Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5
Prime factors of 264 are 2 x 2 x 2 x 3 x 11
The highest common occurrence is 21 x 31
Therefore, GCD of 390, 600, 264 is 6.
Steps to Calculate GCD of 390, 600, 264 using LCM Formula
Given numbers are 390, 600, 264
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(390, 600) = 7800
GCD(390, 600) = ( 390 x 600 ) / 7800
= 390 / 600
= 390
Step2:
LCM(30, 264) = 1320
GCD(30, 264) = ( 30 x 264 ) / 1320
= 30 / 264
= 30
So, Greatest Common Divisor of 390, 600, 264 is 6
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 390, 600, 264
Given numbers are 390, 600, 264
The greatest common divisor of numbers 390, 600, 264 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 390, 600, 264 is 6.
FAQs on GCD of 390, 600, 264 Calculator
1. What is the GCD of 390, 600, 264?
GCD of given numbers 390, 600, 264 is 6
2. How to calculate the greatest common divisor of 390, 600, 264?
We can find the highest common divisor of 390, 600, 264 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 390, 600, 264 i.e 6.
3. How can I use the GCD of 390, 600, 264Calculator?
Out the numbers 390, 600, 264 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.