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GCD of 432, 921, 324, 981 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, 921, 324, 981 quickly. Get the easiest ways to solve the greatest common divisor of 432, 921, 324, 981 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 432, 921, 324, 981 with Factoring?

Given Input numbers are 432, 921, 324, 981

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 921 :

The positive integer divisors of 921 that completely divides 921 are.

1, 3, 307, 921

Divisors of 324 :

The positive integer divisors of 324 that completely divides 324 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

Divisors of 981 :

The positive integer divisors of 981 that completely divides 981 are.

1, 3, 9, 109, 327, 981


GCD of numbers is the greatest common divisor

So, the GCD (432, 921, 324, 981) = 3.

Find GCD of 432, 921, 324, 981 using Prime Factorization

Given numbers are 432, 921, 324, 981

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 921 are 3 x 307

Prime factors of 324 are 2 x 2 x 3 x 3 x 3 x 3

Prime factors of 981 are 3 x 3 x 109

The highest common occurrence is 31

Therefore, GCD of 432, 921, 324, 981 is 3.

Steps to Calculate GCD of 432, 921, 324, 981 using LCM Formula

Given numbers are 432, 921, 324, 981

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

Apply this formula for all numbers.

Step1:

LCM(432, 921) = 132624

GCD(432, 921) = ( 432 x 921 ) / 132624

= 432 / 921

= 432


Step2:

LCM(3, 324) = 324

GCD(3, 324) = ( 3 x 324 ) / 324

= 3 / 324

= 3


Step3:

LCM(3, 981) = 981

GCD(3, 981) = ( 3 x 981 ) / 981

= 3 / 981

= 3


So, Greatest Common Divisor of 432, 921, 324, 981 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 432, 921, 324, 981

Given numbers are 432, 921, 324, 981
The greatest common divisor of numbers 432, 921, 324, 981 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 432, 921, 324, 981 is 3.

FAQs on GCD of 432, 921, 324, 981 Calculator

1. What is the GCD of 432, 921, 324, 981?

GCD of given numbers 432, 921, 324, 981 is 3


2. How to calculate the greatest common divisor of 432, 921, 324, 981?

We can find the highest common divisor of 432, 921, 324, 981 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, 921, 324, 981 i.e 3.


3. How can I use the GCD of 432, 921, 324, 981Calculator?

Out the numbers 432, 921, 324, 981 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.