GCD of 528, 648, 612 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 528, 648, 612 quickly. Get the easiest ways to solve the greatest common divisor of 528, 648, 612 i.e 12 in different methods as follows.
Given Input numbers are 528, 648, 612
In the factoring method, we have to find the divisors of all numbers
Divisors of 528 :
The positive integer divisors of 528 that completely divides 528 are.
1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
Divisors of 648 :
The positive integer divisors of 648 that completely divides 648 are.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
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
GCD of numbers is the greatest common divisor
So, the GCD (528, 648, 612) = 12.
Given numbers are 528, 648, 612
The list of prime factors of all numbers are
Prime factors of 528 are 2 x 2 x 2 x 2 x 3 x 11
Prime factors of 648 are 2 x 2 x 2 x 3 x 3 x 3 x 3
Prime factors of 612 are 2 x 2 x 3 x 3 x 17
The highest common occurrence is 22 x 31
Therefore, GCD of 528, 648, 612 is 12.
Steps to Calculate GCD of 528, 648, 612 using LCM Formula
Given numbers are 528, 648, 612
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(528, 648) = 14256
GCD(528, 648) = ( 528 x 648 ) / 14256
= 528 / 648
= 528
Step2:
LCM(24, 612) = 1224
GCD(24, 612) = ( 24 x 612 ) / 1224
= 24 / 612
= 24
So, Greatest Common Divisor of 528, 648, 612 is 12
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 528, 648, 612
Given numbers are 528, 648, 612
The greatest common divisor of numbers 528, 648, 612 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 528, 648, 612 is 12.
FAQs on GCD of 528, 648, 612 Calculator
1. What is the GCD of 528, 648, 612?
GCD of given numbers 528, 648, 612 is 12
2. How to calculate the greatest common divisor of 528, 648, 612?
We can find the highest common divisor of 528, 648, 612 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 528, 648, 612 i.e 12.
3. How can I use the GCD of 528, 648, 612Calculator?
Out the numbers 528, 648, 612 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.