GCD of 440, 442, 718, 954 Calculator

Given Input numbers are 440, 442, 718, 954

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 442

List of positive integer divisors of 442 that divides 442 without a remainder.

1, 2, 13, 17, 26, 34, 221, 442

Divisors of 718

List of positive integer divisors of 718 that divides 718 without a remainder.

1, 2, 359, 718

Divisors of 954

List of positive integer divisors of 954 that divides 954 without a remainder.

1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

Greatest Common Divisior

We found the divisors of 440, 442, 718, 954 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 440, 442, 718, 954 is 2.

Therefore, GCD of numbers 440, 442, 718, 954 is 2

Given Input Data is 440, 442, 718, 954

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 442 is 2 x 13 x 17

Prime Factorization of 718 is 2 x 359

Prime Factorization of 954 is 2 x 3 x 3 x 53

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 442) = 97240

GCD(440, 442) = ( 440 x 442 ) / 97240

GCD(440, 442) = 194480 / 97240

GCD(440, 442) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 718

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

LCM(2, 718) = 718

GCD(2, 718) = ( 2 x 718 ) / 718

GCD(2, 718) = 1436 / 718

GCD(2, 718) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 954

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

LCM(2, 954) = 954

GCD(2, 954) = ( 2 x 954 ) / 954

GCD(2, 954) = 1908 / 954

GCD(2, 954) = 2

GCD of 440, 442, 718, 954 is 2

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1. What is the GCD of 440, 442, 718, 954?

GCD of 440, 442, 718, 954 is 2

2. Where do I get the detailed procedure to find GCD of 440, 442, 718, 954?

You can find a detailed procedure to find GCD of 440, 442, 718, 954 on our page.

3. How to find GCD of 440, 442, 718, 954 on a calculator?

You can find the GCD of 440, 442, 718, 954 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.