GCD of 874, 469, 663, 644 Calculator

Given Input numbers are 874, 469, 663, 644

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

Divisors of 874

List of positive integer divisors of 874 that divides 874 without a remainder.

1, 2, 19, 23, 38, 46, 437, 874

Divisors of 469

List of positive integer divisors of 469 that divides 469 without a remainder.

1, 7, 67, 469

Divisors of 663

List of positive integer divisors of 663 that divides 663 without a remainder.

1, 3, 13, 17, 39, 51, 221, 663

Divisors of 644

List of positive integer divisors of 644 that divides 644 without a remainder.

1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

Greatest Common Divisior

We found the divisors of 874, 469, 663, 644 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 874, 469, 663, 644 is 1.

Therefore, GCD of numbers 874, 469, 663, 644 is 1

Given Input Data is 874, 469, 663, 644

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

Prime Factorization of 874 is 2 x 19 x 23

Prime Factorization of 469 is 7 x 67

Prime Factorization of 663 is 3 x 13 x 17

Prime Factorization of 644 is 2 x 2 x 7 x 23

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(874, 469) = 409906

GCD(874, 469) = ( 874 x 469 ) / 409906

GCD(874, 469) = 409906 / 409906

GCD(874, 469) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 663

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

LCM(1, 663) = 663

GCD(1, 663) = ( 1 x 663 ) / 663

GCD(1, 663) = 663 / 663

GCD(1, 663) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 644

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

LCM(1, 644) = 644

GCD(1, 644) = ( 1 x 644 ) / 644

GCD(1, 644) = 644 / 644

GCD(1, 644) = 1

GCD of 874, 469, 663, 644 is 1

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1. What is the GCD of 874, 469, 663, 644?

GCD of 874, 469, 663, 644 is 1

2. Where do I get the detailed procedure to find GCD of 874, 469, 663, 644?

You can find a detailed procedure to find GCD of 874, 469, 663, 644 on our page.

3. How to find GCD of 874, 469, 663, 644 on a calculator?

You can find the GCD of 874, 469, 663, 644 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.