GCD of 924, 678, 935, 138 Calculator

Given Input numbers are 924, 678, 935, 138

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 678

List of positive integer divisors of 678 that divides 678 without a remainder.

1, 2, 3, 6, 113, 226, 339, 678

Divisors of 935

List of positive integer divisors of 935 that divides 935 without a remainder.

1, 5, 11, 17, 55, 85, 187, 935

Divisors of 138

List of positive integer divisors of 138 that divides 138 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138

Greatest Common Divisior

We found the divisors of 924, 678, 935, 138 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 924, 678, 935, 138 is 1.

Therefore, GCD of numbers 924, 678, 935, 138 is 1

Given Input Data is 924, 678, 935, 138

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 678 is 2 x 3 x 113

Prime Factorization of 935 is 5 x 11 x 17

Prime Factorization of 138 is 2 x 3 x 23

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, 678) = 104412

GCD(924, 678) = ( 924 x 678 ) / 104412

GCD(924, 678) = 626472 / 104412

GCD(924, 678) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 935

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

LCM(6, 935) = 5610

GCD(6, 935) = ( 6 x 935 ) / 5610

GCD(6, 935) = 5610 / 5610

GCD(6, 935) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 138

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

LCM(1, 138) = 138

GCD(1, 138) = ( 1 x 138 ) / 138

GCD(1, 138) = 138 / 138

GCD(1, 138) = 1

GCD of 924, 678, 935, 138 is 1

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1. What is the GCD of 924, 678, 935, 138?

GCD of 924, 678, 935, 138 is 1

2. Where do I get the detailed procedure to find GCD of 924, 678, 935, 138?

You can find a detailed procedure to find GCD of 924, 678, 935, 138 on our page.

3. How to find GCD of 924, 678, 935, 138 on a calculator?

You can find the GCD of 924, 678, 935, 138 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.