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GCD of 594, 732, 651, 480 Calculator

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


Online GCD Calculator is useful to find the GCD of 594, 732, 651, 480 quickly. Get the easiest ways to solve the greatest common divisor of 594, 732, 651, 480 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 594, 732, 651, 480 with Factoring?

Given Input numbers are 594, 732, 651, 480

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

Divisors of 594 :

The positive integer divisors of 594 that completely divides 594 are.

1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594

Divisors of 732 :

The positive integer divisors of 732 that completely divides 732 are.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

Divisors of 651 :

The positive integer divisors of 651 that completely divides 651 are.

1, 3, 7, 21, 31, 93, 217, 651

Divisors of 480 :

The positive integer divisors of 480 that completely divides 480 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480


GCD of numbers is the greatest common divisor

So, the GCD (594, 732, 651, 480) = 3.

Find GCD of 594, 732, 651, 480 using Prime Factorization

Given numbers are 594, 732, 651, 480

The list of prime factors of all numbers are

Prime factors of 594 are 2 x 3 x 3 x 3 x 11

Prime factors of 732 are 2 x 2 x 3 x 61

Prime factors of 651 are 3 x 7 x 31

Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5

The highest common occurrence is 31

Therefore, GCD of 594, 732, 651, 480 is 3.

Steps to Calculate GCD of 594, 732, 651, 480 using LCM Formula

Given numbers are 594, 732, 651, 480

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

Apply this formula for all numbers.

Step1:

LCM(594, 732) = 72468

GCD(594, 732) = ( 594 x 732 ) / 72468

= 594 / 732

= 594


Step2:

LCM(6, 651) = 1302

GCD(6, 651) = ( 6 x 651 ) / 1302

= 6 / 651

= 6


Step3:

LCM(3, 480) = 480

GCD(3, 480) = ( 3 x 480 ) / 480

= 3 / 480

= 3


So, Greatest Common Divisor of 594, 732, 651, 480 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 594, 732, 651, 480

Given numbers are 594, 732, 651, 480
The greatest common divisor of numbers 594, 732, 651, 480 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 594, 732, 651, 480 is 3.

FAQs on GCD of 594, 732, 651, 480 Calculator

1. What is the GCD of 594, 732, 651, 480?

GCD of given numbers 594, 732, 651, 480 is 3


2. How to calculate the greatest common divisor of 594, 732, 651, 480?

We can find the highest common divisor of 594, 732, 651, 480 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 594, 732, 651, 480 i.e 3.


3. How can I use the GCD of 594, 732, 651, 480Calculator?

Out the numbers 594, 732, 651, 480 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.