GCD of 105, 936, 477, 924 Calculator

Given Input numbers are 105, 936, 477, 924

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 936

List of positive integer divisors of 936 that divides 936 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

Divisors of 477

List of positive integer divisors of 477 that divides 477 without a remainder.

1, 3, 9, 53, 159, 477

Divisors of 924

List of positive integer divisors of 924 that divides 924 without a remainder.

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

Greatest Common Divisior

We found the divisors of 105, 936, 477, 924 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 105, 936, 477, 924 is 3.

Therefore, GCD of numbers 105, 936, 477, 924 is 3

Given Input Data is 105, 936, 477, 924

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 105 is 3 x 5 x 7

Prime Factorization of 936 is 2 x 2 x 2 x 3 x 3 x 13

Prime Factorization of 477 is 3 x 3 x 53

Prime Factorization of 924 is 2 x 2 x 3 x 7 x 11

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

Step1:

Let's calculate the GCD of first two numbers

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

LCM(105, 936) = 32760

GCD(105, 936) = ( 105 x 936 ) / 32760

GCD(105, 936) = 98280 / 32760

GCD(105, 936) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 477

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

LCM(3, 477) = 477

GCD(3, 477) = ( 3 x 477 ) / 477

GCD(3, 477) = 1431 / 477

GCD(3, 477) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 924

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

LCM(3, 924) = 924

GCD(3, 924) = ( 3 x 924 ) / 924

GCD(3, 924) = 2772 / 924

GCD(3, 924) = 3

GCD of 105, 936, 477, 924 is 3

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1. What is the GCD of 105, 936, 477, 924?

GCD of 105, 936, 477, 924 is 3

2. Where do I get the detailed procedure to find GCD of 105, 936, 477, 924?

You can find a detailed procedure to find GCD of 105, 936, 477, 924 on our page.

3. How to find GCD of 105, 936, 477, 924 on a calculator?

You can find the GCD of 105, 936, 477, 924 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.