GCD of 924, 786, 38, 514 Calculator

Given Input numbers are 924, 786, 38, 514

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 786

List of positive integer divisors of 786 that divides 786 without a remainder.

1, 2, 3, 6, 131, 262, 393, 786

Divisors of 38

List of positive integer divisors of 38 that divides 38 without a remainder.

1, 2, 19, 38

Divisors of 514

List of positive integer divisors of 514 that divides 514 without a remainder.

1, 2, 257, 514

Greatest Common Divisior

We found the divisors of 924, 786, 38, 514 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 924, 786, 38, 514 is 2.

Therefore, GCD of numbers 924, 786, 38, 514 is 2

Given Input Data is 924, 786, 38, 514

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 786 is 2 x 3 x 131

Prime Factorization of 38 is 2 x 19

Prime Factorization of 514 is 2 x 257

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 786) = 121044

GCD(924, 786) = ( 924 x 786 ) / 121044

GCD(924, 786) = 726264 / 121044

GCD(924, 786) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 38

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

LCM(6, 38) = 114

GCD(6, 38) = ( 6 x 38 ) / 114

GCD(6, 38) = 228 / 114

GCD(6, 38) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 514

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

LCM(2, 514) = 514

GCD(2, 514) = ( 2 x 514 ) / 514

GCD(2, 514) = 1028 / 514

GCD(2, 514) = 2

GCD of 924, 786, 38, 514 is 2

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1. What is the GCD of 924, 786, 38, 514?

GCD of 924, 786, 38, 514 is 2

2. Where do I get the detailed procedure to find GCD of 924, 786, 38, 514?

You can find a detailed procedure to find GCD of 924, 786, 38, 514 on our page.

3. How to find GCD of 924, 786, 38, 514 on a calculator?

You can find the GCD of 924, 786, 38, 514 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.