GCD of 500, 677, 256, 762 Calculator

Given Input numbers are 500, 677, 256, 762

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

Divisors of 500

List of positive integer divisors of 500 that divides 500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 677

List of positive integer divisors of 677 that divides 677 without a remainder.

1, 677

Divisors of 256

List of positive integer divisors of 256 that divides 256 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256

Divisors of 762

List of positive integer divisors of 762 that divides 762 without a remainder.

1, 2, 3, 6, 127, 254, 381, 762

Greatest Common Divisior

We found the divisors of 500, 677, 256, 762 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 500, 677, 256, 762 is 1.

Therefore, GCD of numbers 500, 677, 256, 762 is 1

Given Input Data is 500, 677, 256, 762

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

Prime Factorization of 500 is 2 x 2 x 5 x 5 x 5

Prime Factorization of 677 is 677

Prime Factorization of 256 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 762 is 2 x 3 x 127

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(500, 677) = 338500

GCD(500, 677) = ( 500 x 677 ) / 338500

GCD(500, 677) = 338500 / 338500

GCD(500, 677) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 256

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

LCM(1, 256) = 256

GCD(1, 256) = ( 1 x 256 ) / 256

GCD(1, 256) = 256 / 256

GCD(1, 256) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 762

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

LCM(1, 762) = 762

GCD(1, 762) = ( 1 x 762 ) / 762

GCD(1, 762) = 762 / 762

GCD(1, 762) = 1

GCD of 500, 677, 256, 762 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 239, 625, 552, 780
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• GCD of 646, 686, 330, 543

1. What is the GCD of 500, 677, 256, 762?

GCD of 500, 677, 256, 762 is 1

2. Where do I get the detailed procedure to find GCD of 500, 677, 256, 762?

You can find a detailed procedure to find GCD of 500, 677, 256, 762 on our page.

3. How to find GCD of 500, 677, 256, 762 on a calculator?

You can find the GCD of 500, 677, 256, 762 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.