GCD of 924, 136, 921, 438 Calculator

Given Input numbers are 924, 136, 921, 438

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

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

Divisors of 136

List of positive integer divisors of 136 that divides 136 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136

Divisors of 921

List of positive integer divisors of 921 that divides 921 without a remainder.

1, 3, 307, 921

Divisors of 438

List of positive integer divisors of 438 that divides 438 without a remainder.

1, 2, 3, 6, 73, 146, 219, 438

Greatest Common Divisior

We found the divisors of 924, 136, 921, 438 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 924, 136, 921, 438 is 1.

Therefore, GCD of numbers 924, 136, 921, 438 is 1

Given Input Data is 924, 136, 921, 438

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

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

Prime Factorization of 136 is 2 x 2 x 2 x 17

Prime Factorization of 921 is 3 x 307

Prime Factorization of 438 is 2 x 3 x 73

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

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(924, 136) = 31416

GCD(924, 136) = ( 924 x 136 ) / 31416

GCD(924, 136) = 125664 / 31416

GCD(924, 136) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 921

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

LCM(4, 921) = 3684

GCD(4, 921) = ( 4 x 921 ) / 3684

GCD(4, 921) = 3684 / 3684

GCD(4, 921) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 438

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

LCM(1, 438) = 438

GCD(1, 438) = ( 1 x 438 ) / 438

GCD(1, 438) = 438 / 438

GCD(1, 438) = 1

GCD of 924, 136, 921, 438 is 1

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1. What is the GCD of 924, 136, 921, 438?

GCD of 924, 136, 921, 438 is 1

2. Where do I get the detailed procedure to find GCD of 924, 136, 921, 438?

You can find a detailed procedure to find GCD of 924, 136, 921, 438 on our page.

3. How to find GCD of 924, 136, 921, 438 on a calculator?

You can find the GCD of 924, 136, 921, 438 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.