GCD of 470, 523, 985, 438 Calculator

Given Input numbers are 470, 523, 985, 438

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

Divisors of 470

List of positive integer divisors of 470 that divides 470 without a remainder.

1, 2, 5, 10, 47, 94, 235, 470

Divisors of 523

List of positive integer divisors of 523 that divides 523 without a remainder.

1, 523

Divisors of 985

List of positive integer divisors of 985 that divides 985 without a remainder.

1, 5, 197, 985

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 470, 523, 985, 438 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 470, 523, 985, 438 is 1.

Therefore, GCD of numbers 470, 523, 985, 438 is 1

Given Input Data is 470, 523, 985, 438

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

Prime Factorization of 470 is 2 x 5 x 47

Prime Factorization of 523 is 523

Prime Factorization of 985 is 5 x 197

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(470, 523) = 245810

GCD(470, 523) = ( 470 x 523 ) / 245810

GCD(470, 523) = 245810 / 245810

GCD(470, 523) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 985

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

LCM(1, 985) = 985

GCD(1, 985) = ( 1 x 985 ) / 985

GCD(1, 985) = 985 / 985

GCD(1, 985) = 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 470, 523, 985, 438 is 1

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1. What is the GCD of 470, 523, 985, 438?

GCD of 470, 523, 985, 438 is 1

2. Where do I get the detailed procedure to find GCD of 470, 523, 985, 438?

You can find a detailed procedure to find GCD of 470, 523, 985, 438 on our page.

3. How to find GCD of 470, 523, 985, 438 on a calculator?

You can find the GCD of 470, 523, 985, 438 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.