GCD of 440, 388, 85, 724 Calculator

Given Input numbers are 440, 388, 85, 724

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 388

List of positive integer divisors of 388 that divides 388 without a remainder.

1, 2, 4, 97, 194, 388

Divisors of 85

List of positive integer divisors of 85 that divides 85 without a remainder.

1, 5, 17, 85

Divisors of 724

List of positive integer divisors of 724 that divides 724 without a remainder.

1, 2, 4, 181, 362, 724

Greatest Common Divisior

We found the divisors of 440, 388, 85, 724 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 440, 388, 85, 724 is 1.

Therefore, GCD of numbers 440, 388, 85, 724 is 1

Given Input Data is 440, 388, 85, 724

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 388 is 2 x 2 x 97

Prime Factorization of 85 is 5 x 17

Prime Factorization of 724 is 2 x 2 x 181

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, 388) = 42680

GCD(440, 388) = ( 440 x 388 ) / 42680

GCD(440, 388) = 170720 / 42680

GCD(440, 388) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 85

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

LCM(4, 85) = 340

GCD(4, 85) = ( 4 x 85 ) / 340

GCD(4, 85) = 340 / 340

GCD(4, 85) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 724

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

LCM(1, 724) = 724

GCD(1, 724) = ( 1 x 724 ) / 724

GCD(1, 724) = 724 / 724

GCD(1, 724) = 1

GCD of 440, 388, 85, 724 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 401, 728, 57, 595
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• GCD of 768, 848, 66, 704

1. What is the GCD of 440, 388, 85, 724?

GCD of 440, 388, 85, 724 is 1

2. Where do I get the detailed procedure to find GCD of 440, 388, 85, 724?

You can find a detailed procedure to find GCD of 440, 388, 85, 724 on our page.

3. How to find GCD of 440, 388, 85, 724 on a calculator?

You can find the GCD of 440, 388, 85, 724 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.