GCD of 440, 418, 55, 878 Calculator

Given Input numbers are 440, 418, 55, 878

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

Divisors of 440

List of positive integer divisors of 440 that divides 440 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

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 55

List of positive integer divisors of 55 that divides 55 without a remainder.

1, 5, 11, 55

Divisors of 878

List of positive integer divisors of 878 that divides 878 without a remainder.

1, 2, 439, 878

Greatest Common Divisior

We found the divisors of 440, 418, 55, 878 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 440, 418, 55, 878 is 1.

Therefore, GCD of numbers 440, 418, 55, 878 is 1

Given Input Data is 440, 418, 55, 878

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

Prime Factorization of 440 is 2 x 2 x 2 x 5 x 11

Prime Factorization of 418 is 2 x 11 x 19

Prime Factorization of 55 is 5 x 11

Prime Factorization of 878 is 2 x 439

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(440, 418) = 8360

GCD(440, 418) = ( 440 x 418 ) / 8360

GCD(440, 418) = 183920 / 8360

GCD(440, 418) = 22

Step2:

Here we consider the GCD from the above i.e. 22 as first number and the next as 55

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

LCM(22, 55) = 110

GCD(22, 55) = ( 22 x 55 ) / 110

GCD(22, 55) = 1210 / 110

GCD(22, 55) = 11

Step3:

Here we consider the GCD from the above i.e. 11 as first number and the next as 878

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

LCM(11, 878) = 9658

GCD(11, 878) = ( 11 x 878 ) / 9658

GCD(11, 878) = 9658 / 9658

GCD(11, 878) = 1

GCD of 440, 418, 55, 878 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 534, 448, 27, 878
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• GCD of 178, 494, 82, 855
• GCD of 204, 269, 36, 296
• GCD of 880, 874, 53, 973

1. What is the GCD of 440, 418, 55, 878?

GCD of 440, 418, 55, 878 is 1

2. Where do I get the detailed procedure to find GCD of 440, 418, 55, 878?

You can find a detailed procedure to find GCD of 440, 418, 55, 878 on our page.

3. How to find GCD of 440, 418, 55, 878 on a calculator?

You can find the GCD of 440, 418, 55, 878 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.