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GCD of 921, 132, 966, 444 Calculator

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


Online GCD Calculator is useful to find the GCD of 921, 132, 966, 444 quickly. Get the easiest ways to solve the greatest common divisor of 921, 132, 966, 444 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 921, 132, 966, 444 with Factoring?

Given Input numbers are 921, 132, 966, 444

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

Divisors of 921 :

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

1, 3, 307, 921

Divisors of 132 :

The positive integer divisors of 132 that completely divides 132 are.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Divisors of 966 :

The positive integer divisors of 966 that completely divides 966 are.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Divisors of 444 :

The positive integer divisors of 444 that completely divides 444 are.

1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444


GCD of numbers is the greatest common divisor

So, the GCD (921, 132, 966, 444) = 3.

Find GCD of 921, 132, 966, 444 using Prime Factorization

Given numbers are 921, 132, 966, 444

The list of prime factors of all numbers are

Prime factors of 921 are 3 x 307

Prime factors of 132 are 2 x 2 x 3 x 11

Prime factors of 966 are 2 x 3 x 7 x 23

Prime factors of 444 are 2 x 2 x 3 x 37

The highest common occurrence is 31

Therefore, GCD of 921, 132, 966, 444 is 3.

Steps to Calculate GCD of 921, 132, 966, 444 using LCM Formula

Given numbers are 921, 132, 966, 444

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

Apply this formula for all numbers.

Step1:

LCM(921, 132) = 40524

GCD(921, 132) = ( 921 x 132 ) / 40524

= 921 / 132

= 921


Step2:

LCM(3, 966) = 966

GCD(3, 966) = ( 3 x 966 ) / 966

= 3 / 966

= 3


Step3:

LCM(3, 444) = 444

GCD(3, 444) = ( 3 x 444 ) / 444

= 3 / 444

= 3


So, Greatest Common Divisor of 921, 132, 966, 444 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 921, 132, 966, 444

Given numbers are 921, 132, 966, 444
The greatest common divisor of numbers 921, 132, 966, 444 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 921, 132, 966, 444 is 3.

FAQs on GCD of 921, 132, 966, 444 Calculator

1. What is the GCD of 921, 132, 966, 444?

GCD of given numbers 921, 132, 966, 444 is 3


2. How to calculate the greatest common divisor of 921, 132, 966, 444?

We can find the highest common divisor of 921, 132, 966, 444 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 921, 132, 966, 444 i.e 3.


3. How can I use the GCD of 921, 132, 966, 444Calculator?

Out the numbers 921, 132, 966, 444 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.