GCD of 718, 400, 73, 442 Calculator

Given Input numbers are 718, 400, 73, 442

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

Divisors of 718

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

1, 2, 359, 718

Divisors of 400

List of positive integer divisors of 400 that divides 400 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 73

List of positive integer divisors of 73 that divides 73 without a remainder.

1, 73

Divisors of 442

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

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

Greatest Common Divisior

We found the divisors of 718, 400, 73, 442 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 718, 400, 73, 442 is 1.

Therefore, GCD of numbers 718, 400, 73, 442 is 1

Given Input Data is 718, 400, 73, 442

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

Prime Factorization of 718 is 2 x 359

Prime Factorization of 400 is 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 73 is 73

Prime Factorization of 442 is 2 x 13 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(718, 400) = 143600

GCD(718, 400) = ( 718 x 400 ) / 143600

GCD(718, 400) = 287200 / 143600

GCD(718, 400) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 73

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

LCM(2, 73) = 146

GCD(2, 73) = ( 2 x 73 ) / 146

GCD(2, 73) = 146 / 146

GCD(2, 73) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 442

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

LCM(1, 442) = 442

GCD(1, 442) = ( 1 x 442 ) / 442

GCD(1, 442) = 442 / 442

GCD(1, 442) = 1

GCD of 718, 400, 73, 442 is 1

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• GCD of 864, 464, 48, 627
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1. What is the GCD of 718, 400, 73, 442?

GCD of 718, 400, 73, 442 is 1

2. Where do I get the detailed procedure to find GCD of 718, 400, 73, 442?

You can find a detailed procedure to find GCD of 718, 400, 73, 442 on our page.

3. How to find GCD of 718, 400, 73, 442 on a calculator?

You can find the GCD of 718, 400, 73, 442 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.