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GCD of 588, 432, 366, 708 Calculator

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


Online GCD Calculator is useful to find the GCD of 588, 432, 366, 708 quickly. Get the easiest ways to solve the greatest common divisor of 588, 432, 366, 708 i.e 6 in different methods as follows.

GCD of

How to Find GCD of Numbers 588, 432, 366, 708 with Factoring?

Given Input numbers are 588, 432, 366, 708

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

Divisors of 588 :

The positive integer divisors of 588 that completely divides 588 are.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

Divisors of 432 :

The positive integer divisors of 432 that completely divides 432 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

Divisors of 366 :

The positive integer divisors of 366 that completely divides 366 are.

1, 2, 3, 6, 61, 122, 183, 366

Divisors of 708 :

The positive integer divisors of 708 that completely divides 708 are.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708


GCD of numbers is the greatest common divisor

So, the GCD (588, 432, 366, 708) = 6.

Find GCD of 588, 432, 366, 708 using Prime Factorization

Given numbers are 588, 432, 366, 708

The list of prime factors of all numbers are

Prime factors of 588 are 2 x 2 x 3 x 7 x 7

Prime factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 366 are 2 x 3 x 61

Prime factors of 708 are 2 x 2 x 3 x 59

The highest common occurrence is 21 x 31

Therefore, GCD of 588, 432, 366, 708 is 6.

Steps to Calculate GCD of 588, 432, 366, 708 using LCM Formula

Given numbers are 588, 432, 366, 708

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

Apply this formula for all numbers.

Step1:

LCM(588, 432) = 21168

GCD(588, 432) = ( 588 x 432 ) / 21168

= 588 / 432

= 588


Step2:

LCM(12, 366) = 732

GCD(12, 366) = ( 12 x 366 ) / 732

= 12 / 366

= 12


Step3:

LCM(6, 708) = 708

GCD(6, 708) = ( 6 x 708 ) / 708

= 6 / 708

= 6


So, Greatest Common Divisor of 588, 432, 366, 708 is 6

GCD of Numbers Calculation Examples

Greatest Common Divisor of 588, 432, 366, 708

Given numbers are 588, 432, 366, 708
The greatest common divisor of numbers 588, 432, 366, 708 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 588, 432, 366, 708 is 6.

FAQs on GCD of 588, 432, 366, 708 Calculator

1. What is the GCD of 588, 432, 366, 708?

GCD of given numbers 588, 432, 366, 708 is 6


2. How to calculate the greatest common divisor of 588, 432, 366, 708?

We can find the highest common divisor of 588, 432, 366, 708 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 588, 432, 366, 708 i.e 6.


3. How can I use the GCD of 588, 432, 366, 708Calculator?

Out the numbers 588, 432, 366, 708 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.