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GCD of 456, 728, 612 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 456, 728, 612 quickly. Get the easiest ways to solve the greatest common divisor of 456, 728, 612 i.e 4 in different methods as follows.

GCD of

How to Find GCD of Numbers 456, 728, 612 with Factoring?

Given Input numbers are 456, 728, 612

In the factoring method, we have to find the divisors of all numbers

Divisors of 456 :

The positive integer divisors of 456 that completely divides 456 are.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 728 :

The positive integer divisors of 728 that completely divides 728 are.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

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 (456, 728, 612) = 4.

Find GCD of 456, 728, 612 using Prime Factorization

Given numbers are 456, 728, 612

The list of prime factors of all numbers are

Prime factors of 456 are 2 x 2 x 2 x 3 x 19

Prime factors of 728 are 2 x 2 x 2 x 7 x 13

Prime factors of 612 are 2 x 2 x 3 x 3 x 17

The highest common occurrence is 22

Therefore, GCD of 456, 728, 612 is 4.

Steps to Calculate GCD of 456, 728, 612 using LCM Formula

Given numbers are 456, 728, 612

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(456, 728) = 41496

GCD(456, 728) = ( 456 x 728 ) / 41496

= 456 / 728

= 456


Step2:

LCM(8, 612) = 1224

GCD(8, 612) = ( 8 x 612 ) / 1224

= 8 / 612

= 8


So, Greatest Common Divisor of 456, 728, 612 is 4

GCD of Numbers Calculation Examples

Greatest Common Divisor of 456, 728, 612

Given numbers are 456, 728, 612
The greatest common divisor of numbers 456, 728, 612 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 456, 728, 612 is 4.

FAQs on GCD of 456, 728, 612 Calculator

1. What is the GCD of 456, 728, 612?

GCD of given numbers 456, 728, 612 is 4


2. How to calculate the greatest common divisor of 456, 728, 612?

We can find the highest common divisor of 456, 728, 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 456, 728, 612 i.e 4.


3. How can I use the GCD of 456, 728, 612Calculator?

Out the numbers 456, 728, 612 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.