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GCD of 924, 966, 494, 976 Calculator

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


Online GCD Calculator is useful to find the GCD of 924, 966, 494, 976 quickly. Get the easiest ways to solve the greatest common divisor of 924, 966, 494, 976 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 924, 966, 494, 976 with Factoring?

Given Input numbers are 924, 966, 494, 976

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

Divisors of 924 :

The positive integer divisors of 924 that completely divides 924 are.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

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 494 :

The positive integer divisors of 494 that completely divides 494 are.

1, 2, 13, 19, 26, 38, 247, 494

Divisors of 976 :

The positive integer divisors of 976 that completely divides 976 are.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976


GCD of numbers is the greatest common divisor

So, the GCD (924, 966, 494, 976) = 2.

Find GCD of 924, 966, 494, 976 using Prime Factorization

Given numbers are 924, 966, 494, 976

The list of prime factors of all numbers are

Prime factors of 924 are 2 x 2 x 3 x 7 x 11

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

Prime factors of 494 are 2 x 13 x 19

Prime factors of 976 are 2 x 2 x 2 x 2 x 61

The highest common occurrence is 21

Therefore, GCD of 924, 966, 494, 976 is 2.

Steps to Calculate GCD of 924, 966, 494, 976 using LCM Formula

Given numbers are 924, 966, 494, 976

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

Apply this formula for all numbers.

Step1:

LCM(924, 966) = 21252

GCD(924, 966) = ( 924 x 966 ) / 21252

= 924 / 966

= 924


Step2:

LCM(42, 494) = 10374

GCD(42, 494) = ( 42 x 494 ) / 10374

= 42 / 494

= 42


Step3:

LCM(2, 976) = 976

GCD(2, 976) = ( 2 x 976 ) / 976

= 2 / 976

= 2


So, Greatest Common Divisor of 924, 966, 494, 976 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 924, 966, 494, 976

Given numbers are 924, 966, 494, 976
The greatest common divisor of numbers 924, 966, 494, 976 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 924, 966, 494, 976 is 2.

FAQs on GCD of 924, 966, 494, 976 Calculator

1. What is the GCD of 924, 966, 494, 976?

GCD of given numbers 924, 966, 494, 976 is 2


2. How to calculate the greatest common divisor of 924, 966, 494, 976?

We can find the highest common divisor of 924, 966, 494, 976 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 924, 966, 494, 976 i.e 2.


3. How can I use the GCD of 924, 966, 494, 976Calculator?

Out the numbers 924, 966, 494, 976 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.