GCD of 676, 108, 463, 640 Calculator

Given Input numbers are 676, 108, 463, 640

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

Divisors of 676

List of positive integer divisors of 676 that divides 676 without a remainder.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 108

List of positive integer divisors of 108 that divides 108 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 463

List of positive integer divisors of 463 that divides 463 without a remainder.

1, 463

Divisors of 640

List of positive integer divisors of 640 that divides 640 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640

Greatest Common Divisior

We found the divisors of 676, 108, 463, 640 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 676, 108, 463, 640 is 1.

Therefore, GCD of numbers 676, 108, 463, 640 is 1

Given Input Data is 676, 108, 463, 640

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

Prime Factorization of 676 is 2 x 2 x 13 x 13

Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3

Prime Factorization of 463 is 463

Prime Factorization of 640 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5

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(676, 108) = 18252

GCD(676, 108) = ( 676 x 108 ) / 18252

GCD(676, 108) = 73008 / 18252

GCD(676, 108) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 463

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

LCM(4, 463) = 1852

GCD(4, 463) = ( 4 x 463 ) / 1852

GCD(4, 463) = 1852 / 1852

GCD(4, 463) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 640

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

LCM(1, 640) = 640

GCD(1, 640) = ( 1 x 640 ) / 640

GCD(1, 640) = 640 / 640

GCD(1, 640) = 1

GCD of 676, 108, 463, 640 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 926, 662, 798, 671
• GCD of 951, 203, 747, 945
• GCD of 810, 820, 224, 700
• GCD of 670, 986, 978, 858
• GCD of 929, 533, 721, 227

1. What is the GCD of 676, 108, 463, 640?

GCD of 676, 108, 463, 640 is 1

2. Where do I get the detailed procedure to find GCD of 676, 108, 463, 640?

You can find a detailed procedure to find GCD of 676, 108, 463, 640 on our page.

3. How to find GCD of 676, 108, 463, 640 on a calculator?

You can find the GCD of 676, 108, 463, 640 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.