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GCD of 432, 723, 360, 158 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, 723, 360, 158 quickly. Get the easiest ways to solve the greatest common divisor of 432, 723, 360, 158 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 432, 723, 360, 158 with Factoring?

Given Input numbers are 432, 723, 360, 158

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 723 :

The positive integer divisors of 723 that completely divides 723 are.

1, 3, 241, 723

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

Divisors of 158 :

The positive integer divisors of 158 that completely divides 158 are.

1, 2, 79, 158


GCD of numbers is the greatest common divisor

So, the GCD (432, 723, 360, 158) = 1.

Find GCD of 432, 723, 360, 158 using Prime Factorization

Given numbers are 432, 723, 360, 158

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 723 are 3 x 241

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

Prime factors of 158 are 2 x 79

The above numbers do not have any common prime factor. So GCD is 1

Steps to Calculate GCD of 432, 723, 360, 158 using LCM Formula

Given numbers are 432, 723, 360, 158

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

Apply this formula for all numbers.

Step1:

LCM(432, 723) = 104112

GCD(432, 723) = ( 432 x 723 ) / 104112

= 432 / 723

= 432


Step2:

LCM(3, 360) = 360

GCD(3, 360) = ( 3 x 360 ) / 360

= 3 / 360

= 3


Step3:

LCM(3, 158) = 474

GCD(3, 158) = ( 3 x 158 ) / 474

= 3 / 158

= 3


So, Greatest Common Divisor of 432, 723, 360, 158 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 432, 723, 360, 158

Given numbers are 432, 723, 360, 158
The greatest common divisor of numbers 432, 723, 360, 158 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 432, 723, 360, 158 is 1.

FAQs on GCD of 432, 723, 360, 158 Calculator

1. What is the GCD of 432, 723, 360, 158?

GCD of given numbers 432, 723, 360, 158 is 1


2. How to calculate the greatest common divisor of 432, 723, 360, 158?

We can find the highest common divisor of 432, 723, 360, 158 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, 723, 360, 158 i.e 1.


3. How can I use the GCD of 432, 723, 360, 158Calculator?

Out the numbers 432, 723, 360, 158 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.