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GCD of 173, 961, 300, 432 Calculator

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


Online GCD Calculator is useful to find the GCD of 173, 961, 300, 432 quickly. Get the easiest ways to solve the greatest common divisor of 173, 961, 300, 432 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 173, 961, 300, 432 with Factoring?

Given Input numbers are 173, 961, 300, 432

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

Divisors of 173 :

The positive integer divisors of 173 that completely divides 173 are.

1, 173

Divisors of 961 :

The positive integer divisors of 961 that completely divides 961 are.

1, 31, 961

Divisors of 300 :

The positive integer divisors of 300 that completely divides 300 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

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


GCD of numbers is the greatest common divisor

So, the GCD (173, 961, 300, 432) = 1.

Find GCD of 173, 961, 300, 432 using Prime Factorization

Given numbers are 173, 961, 300, 432

The list of prime factors of all numbers are

Prime factors of 173 are 173

Prime factors of 961 are 31 x 31

Prime factors of 300 are 2 x 2 x 3 x 5 x 5

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

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

Steps to Calculate GCD of 173, 961, 300, 432 using LCM Formula

Given numbers are 173, 961, 300, 432

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

Apply this formula for all numbers.

Step1:

LCM(173, 961) = 166253

GCD(173, 961) = ( 173 x 961 ) / 166253

= 173 / 961

= 173


Step2:

LCM(1, 300) = 300

GCD(1, 300) = ( 1 x 300 ) / 300

= 1 / 300

= 1


Step3:

LCM(1, 432) = 432

GCD(1, 432) = ( 1 x 432 ) / 432

= 1 / 432

= 1


So, Greatest Common Divisor of 173, 961, 300, 432 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 173, 961, 300, 432

Given numbers are 173, 961, 300, 432
The greatest common divisor of numbers 173, 961, 300, 432 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 173, 961, 300, 432 is 1.

FAQs on GCD of 173, 961, 300, 432 Calculator

1. What is the GCD of 173, 961, 300, 432?

GCD of given numbers 173, 961, 300, 432 is 1


2. How to calculate the greatest common divisor of 173, 961, 300, 432?

We can find the highest common divisor of 173, 961, 300, 432 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 173, 961, 300, 432 i.e 1.


3. How can I use the GCD of 173, 961, 300, 432Calculator?

Out the numbers 173, 961, 300, 432 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.