GCD of 928, 446, 690, 506 Calculator

Given Input numbers are 928, 446, 690, 506

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 446

List of positive integer divisors of 446 that divides 446 without a remainder.

1, 2, 223, 446

Divisors of 690

List of positive integer divisors of 690 that divides 690 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Divisors of 506

List of positive integer divisors of 506 that divides 506 without a remainder.

1, 2, 11, 22, 23, 46, 253, 506

Greatest Common Divisior

We found the divisors of 928, 446, 690, 506 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 928, 446, 690, 506 is 2.

Therefore, GCD of numbers 928, 446, 690, 506 is 2

Given Input Data is 928, 446, 690, 506

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 446 is 2 x 223

Prime Factorization of 690 is 2 x 3 x 5 x 23

Prime Factorization of 506 is 2 x 11 x 23

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(928, 446) = 206944

GCD(928, 446) = ( 928 x 446 ) / 206944

GCD(928, 446) = 413888 / 206944

GCD(928, 446) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 690

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

LCM(2, 690) = 690

GCD(2, 690) = ( 2 x 690 ) / 690

GCD(2, 690) = 1380 / 690

GCD(2, 690) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 506

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

LCM(2, 506) = 506

GCD(2, 506) = ( 2 x 506 ) / 506

GCD(2, 506) = 1012 / 506

GCD(2, 506) = 2

GCD of 928, 446, 690, 506 is 2

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1. What is the GCD of 928, 446, 690, 506?

GCD of 928, 446, 690, 506 is 2

2. Where do I get the detailed procedure to find GCD of 928, 446, 690, 506?

You can find a detailed procedure to find GCD of 928, 446, 690, 506 on our page.

3. How to find GCD of 928, 446, 690, 506 on a calculator?

You can find the GCD of 928, 446, 690, 506 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.