GCD of 928, 740, 12, 659 Calculator

Given Input numbers are 928, 740, 12, 659

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

Divisors of 928

List of positive integer divisors of 928 that divides 928 without a remainder.

1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

Divisors of 740

List of positive integer divisors of 740 that divides 740 without a remainder.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

Divisors of 12

List of positive integer divisors of 12 that divides 12 without a remainder.

1, 2, 3, 4, 6, 12

Divisors of 659

List of positive integer divisors of 659 that divides 659 without a remainder.

1, 659

Greatest Common Divisior

We found the divisors of 928, 740, 12, 659 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 928, 740, 12, 659 is 1.

Therefore, GCD of numbers 928, 740, 12, 659 is 1

Given Input Data is 928, 740, 12, 659

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

Prime Factorization of 928 is 2 x 2 x 2 x 2 x 2 x 29

Prime Factorization of 740 is 2 x 2 x 5 x 37

Prime Factorization of 12 is 2 x 2 x 3

Prime Factorization of 659 is 659

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(928, 740) = 171680

GCD(928, 740) = ( 928 x 740 ) / 171680

GCD(928, 740) = 686720 / 171680

GCD(928, 740) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 12

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

LCM(4, 12) = 12

GCD(4, 12) = ( 4 x 12 ) / 12

GCD(4, 12) = 48 / 12

GCD(4, 12) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 659

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

LCM(4, 659) = 2636

GCD(4, 659) = ( 4 x 659 ) / 2636

GCD(4, 659) = 2636 / 2636

GCD(4, 659) = 1

GCD of 928, 740, 12, 659 is 1

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1. What is the GCD of 928, 740, 12, 659?

GCD of 928, 740, 12, 659 is 1

2. Where do I get the detailed procedure to find GCD of 928, 740, 12, 659?

You can find a detailed procedure to find GCD of 928, 740, 12, 659 on our page.

3. How to find GCD of 928, 740, 12, 659 on a calculator?

You can find the GCD of 928, 740, 12, 659 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.