GCD of 407, 144, 557, 872 Calculator

Given Input numbers are 407, 144, 557, 872

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

Divisors of 407

List of positive integer divisors of 407 that divides 407 without a remainder.

1, 11, 37, 407

Divisors of 144

List of positive integer divisors of 144 that divides 144 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 557

List of positive integer divisors of 557 that divides 557 without a remainder.

1, 557

Divisors of 872

List of positive integer divisors of 872 that divides 872 without a remainder.

1, 2, 4, 8, 109, 218, 436, 872

Greatest Common Divisior

We found the divisors of 407, 144, 557, 872 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 407, 144, 557, 872 is 1.

Therefore, GCD of numbers 407, 144, 557, 872 is 1

Given Input Data is 407, 144, 557, 872

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

Prime Factorization of 407 is 11 x 37

Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 557 is 557

Prime Factorization of 872 is 2 x 2 x 2 x 109

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(407, 144) = 58608

GCD(407, 144) = ( 407 x 144 ) / 58608

GCD(407, 144) = 58608 / 58608

GCD(407, 144) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 557

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

LCM(1, 557) = 557

GCD(1, 557) = ( 1 x 557 ) / 557

GCD(1, 557) = 557 / 557

GCD(1, 557) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 872

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

LCM(1, 872) = 872

GCD(1, 872) = ( 1 x 872 ) / 872

GCD(1, 872) = 872 / 872

GCD(1, 872) = 1

GCD of 407, 144, 557, 872 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 375, 835, 246, 796
• GCD of 101, 183, 511, 264
• GCD of 260, 989, 241, 930
• GCD of 929, 636, 244, 108
• GCD of 580, 233, 343, 421

1. What is the GCD of 407, 144, 557, 872?

GCD of 407, 144, 557, 872 is 1

2. Where do I get the detailed procedure to find GCD of 407, 144, 557, 872?

You can find a detailed procedure to find GCD of 407, 144, 557, 872 on our page.

3. How to find GCD of 407, 144, 557, 872 on a calculator?

You can find the GCD of 407, 144, 557, 872 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.