GCD of 474, 116, 725, 438 Calculator

Given Input numbers are 474, 116, 725, 438

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

Divisors of 474

List of positive integer divisors of 474 that divides 474 without a remainder.

1, 2, 3, 6, 79, 158, 237, 474

Divisors of 116

List of positive integer divisors of 116 that divides 116 without a remainder.

1, 2, 4, 29, 58, 116

Divisors of 725

List of positive integer divisors of 725 that divides 725 without a remainder.

1, 5, 25, 29, 145, 725

Divisors of 438

List of positive integer divisors of 438 that divides 438 without a remainder.

1, 2, 3, 6, 73, 146, 219, 438

Greatest Common Divisior

We found the divisors of 474, 116, 725, 438 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 474, 116, 725, 438 is 1.

Therefore, GCD of numbers 474, 116, 725, 438 is 1

Given Input Data is 474, 116, 725, 438

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

Prime Factorization of 474 is 2 x 3 x 79

Prime Factorization of 116 is 2 x 2 x 29

Prime Factorization of 725 is 5 x 5 x 29

Prime Factorization of 438 is 2 x 3 x 73

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(474, 116) = 27492

GCD(474, 116) = ( 474 x 116 ) / 27492

GCD(474, 116) = 54984 / 27492

GCD(474, 116) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 725

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

LCM(2, 725) = 1450

GCD(2, 725) = ( 2 x 725 ) / 1450

GCD(2, 725) = 1450 / 1450

GCD(2, 725) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 438

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

LCM(1, 438) = 438

GCD(1, 438) = ( 1 x 438 ) / 438

GCD(1, 438) = 438 / 438

GCD(1, 438) = 1

GCD of 474, 116, 725, 438 is 1

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1. What is the GCD of 474, 116, 725, 438?

GCD of 474, 116, 725, 438 is 1

2. Where do I get the detailed procedure to find GCD of 474, 116, 725, 438?

You can find a detailed procedure to find GCD of 474, 116, 725, 438 on our page.

3. How to find GCD of 474, 116, 725, 438 on a calculator?

You can find the GCD of 474, 116, 725, 438 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.