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GCD of 432, 702, 852, 573 Calculator

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


Online GCD Calculator is useful to find the GCD of 432, 702, 852, 573 quickly. Get the easiest ways to solve the greatest common divisor of 432, 702, 852, 573 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 432, 702, 852, 573 with Factoring?

Given Input numbers are 432, 702, 852, 573

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

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 702 :

The positive integer divisors of 702 that completely divides 702 are.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

Divisors of 852 :

The positive integer divisors of 852 that completely divides 852 are.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Divisors of 573 :

The positive integer divisors of 573 that completely divides 573 are.

1, 3, 191, 573


GCD of numbers is the greatest common divisor

So, the GCD (432, 702, 852, 573) = 3.

Find GCD of 432, 702, 852, 573 using Prime Factorization

Given numbers are 432, 702, 852, 573

The list of prime factors of all numbers are

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

Prime factors of 702 are 2 x 3 x 3 x 3 x 13

Prime factors of 852 are 2 x 2 x 3 x 71

Prime factors of 573 are 3 x 191

The highest common occurrence is 31

Therefore, GCD of 432, 702, 852, 573 is 3.

Steps to Calculate GCD of 432, 702, 852, 573 using LCM Formula

Given numbers are 432, 702, 852, 573

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

Apply this formula for all numbers.

Step1:

LCM(432, 702) = 5616

GCD(432, 702) = ( 432 x 702 ) / 5616

= 432 / 702

= 432


Step2:

LCM(54, 852) = 7668

GCD(54, 852) = ( 54 x 852 ) / 7668

= 54 / 852

= 54


Step3:

LCM(6, 573) = 1146

GCD(6, 573) = ( 6 x 573 ) / 1146

= 6 / 573

= 6


So, Greatest Common Divisor of 432, 702, 852, 573 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 432, 702, 852, 573

Given numbers are 432, 702, 852, 573
The greatest common divisor of numbers 432, 702, 852, 573 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 432, 702, 852, 573 is 3.

FAQs on GCD of 432, 702, 852, 573 Calculator

1. What is the GCD of 432, 702, 852, 573?

GCD of given numbers 432, 702, 852, 573 is 3


2. How to calculate the greatest common divisor of 432, 702, 852, 573?

We can find the highest common divisor of 432, 702, 852, 573 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 432, 702, 852, 573 i.e 3.


3. How can I use the GCD of 432, 702, 852, 573Calculator?

Out the numbers 432, 702, 852, 573 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.