GCD of 418, 781, 87, 561 Calculator

Given Input numbers are 418, 781, 87, 561

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

Divisors of 418

List of positive integer divisors of 418 that divides 418 without a remainder.

1, 2, 11, 19, 22, 38, 209, 418

Divisors of 781

List of positive integer divisors of 781 that divides 781 without a remainder.

1, 11, 71, 781

Divisors of 87

List of positive integer divisors of 87 that divides 87 without a remainder.

1, 3, 29, 87

Divisors of 561

List of positive integer divisors of 561 that divides 561 without a remainder.

1, 3, 11, 17, 33, 51, 187, 561

Greatest Common Divisior

We found the divisors of 418, 781, 87, 561 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 418, 781, 87, 561 is 1.

Therefore, GCD of numbers 418, 781, 87, 561 is 1

Given Input Data is 418, 781, 87, 561

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

Prime Factorization of 418 is 2 x 11 x 19

Prime Factorization of 781 is 11 x 71

Prime Factorization of 87 is 3 x 29

Prime Factorization of 561 is 3 x 11 x 17

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(418, 781) = 29678

GCD(418, 781) = ( 418 x 781 ) / 29678

GCD(418, 781) = 326458 / 29678

GCD(418, 781) = 11

Step2:

Here we consider the GCD from the above i.e. 11 as first number and the next as 87

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

LCM(11, 87) = 957

GCD(11, 87) = ( 11 x 87 ) / 957

GCD(11, 87) = 957 / 957

GCD(11, 87) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 561

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

LCM(1, 561) = 561

GCD(1, 561) = ( 1 x 561 ) / 561

GCD(1, 561) = 561 / 561

GCD(1, 561) = 1

GCD of 418, 781, 87, 561 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 491, 106, 58, 686
• GCD of 659, 693, 34, 173
• GCD of 348, 143, 38, 915
• GCD of 472, 892, 86, 279
• GCD of 784, 409, 21, 654

1. What is the GCD of 418, 781, 87, 561?

GCD of 418, 781, 87, 561 is 1

2. Where do I get the detailed procedure to find GCD of 418, 781, 87, 561?

You can find a detailed procedure to find GCD of 418, 781, 87, 561 on our page.

3. How to find GCD of 418, 781, 87, 561 on a calculator?

You can find the GCD of 418, 781, 87, 561 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.