GCD of 510, 612, 396 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 510, 612, 396 quickly. Get the easiest ways to solve the greatest common divisor of 510, 612, 396 i.e 6 in different methods as follows.
Given Input numbers are 510, 612, 396
In the factoring method, we have to find the divisors of all numbers
Divisors of 510 :
The positive integer divisors of 510 that completely divides 510 are.
1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
Divisors of 612 :
The positive integer divisors of 612 that completely divides 612 are.
1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
Divisors of 396 :
The positive integer divisors of 396 that completely divides 396 are.
1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
GCD of numbers is the greatest common divisor
So, the GCD (510, 612, 396) = 6.
Given numbers are 510, 612, 396
The list of prime factors of all numbers are
Prime factors of 510 are 2 x 3 x 5 x 17
Prime factors of 612 are 2 x 2 x 3 x 3 x 17
Prime factors of 396 are 2 x 2 x 3 x 3 x 11
The highest common occurrence is 21 x 31
Therefore, GCD of 510, 612, 396 is 6.
Steps to Calculate GCD of 510, 612, 396 using LCM Formula
Given numbers are 510, 612, 396
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(510, 612) = 3060
GCD(510, 612) = ( 510 x 612 ) / 3060
= 510 / 612
= 510
Step2:
LCM(102, 396) = 6732
GCD(102, 396) = ( 102 x 396 ) / 6732
= 102 / 396
= 102
So, Greatest Common Divisor of 510, 612, 396 is 6
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 510, 612, 396
Given numbers are 510, 612, 396
The greatest common divisor of numbers 510, 612, 396 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 510, 612, 396 is 6.
FAQs on GCD of 510, 612, 396 Calculator
1. What is the GCD of 510, 612, 396?
GCD of given numbers 510, 612, 396 is 6
2. How to calculate the greatest common divisor of 510, 612, 396?
We can find the highest common divisor of 510, 612, 396 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 510, 612, 396 i.e 6.
3. How can I use the GCD of 510, 612, 396Calculator?
Out the numbers 510, 612, 396 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.