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GCD of 432, 944, 714, 360 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, 944, 714, 360 quickly. Get the easiest ways to solve the greatest common divisor of 432, 944, 714, 360 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 432, 944, 714, 360 with Factoring?

Given Input numbers are 432, 944, 714, 360

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 944 :

The positive integer divisors of 944 that completely divides 944 are.

1, 2, 4, 8, 16, 59, 118, 236, 472, 944

Divisors of 714 :

The positive integer divisors of 714 that completely divides 714 are.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360


GCD of numbers is the greatest common divisor

So, the GCD (432, 944, 714, 360) = 2.

Find GCD of 432, 944, 714, 360 using Prime Factorization

Given numbers are 432, 944, 714, 360

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 944 are 2 x 2 x 2 x 2 x 59

Prime factors of 714 are 2 x 3 x 7 x 17

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

The highest common occurrence is 21

Therefore, GCD of 432, 944, 714, 360 is 2.

Steps to Calculate GCD of 432, 944, 714, 360 using LCM Formula

Given numbers are 432, 944, 714, 360

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

Apply this formula for all numbers.

Step1:

LCM(432, 944) = 25488

GCD(432, 944) = ( 432 x 944 ) / 25488

= 432 / 944

= 432


Step2:

LCM(16, 714) = 5712

GCD(16, 714) = ( 16 x 714 ) / 5712

= 16 / 714

= 16


Step3:

LCM(2, 360) = 360

GCD(2, 360) = ( 2 x 360 ) / 360

= 2 / 360

= 2


So, Greatest Common Divisor of 432, 944, 714, 360 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 432, 944, 714, 360

Given numbers are 432, 944, 714, 360
The greatest common divisor of numbers 432, 944, 714, 360 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 432, 944, 714, 360 is 2.

FAQs on GCD of 432, 944, 714, 360 Calculator

1. What is the GCD of 432, 944, 714, 360?

GCD of given numbers 432, 944, 714, 360 is 2


2. How to calculate the greatest common divisor of 432, 944, 714, 360?

We can find the highest common divisor of 432, 944, 714, 360 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, 944, 714, 360 i.e 2.


3. How can I use the GCD of 432, 944, 714, 360Calculator?

Out the numbers 432, 944, 714, 360 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.