GCD of 470, 705, 57, 403 Calculator

Given Input numbers are 470, 705, 57, 403

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 705

List of positive integer divisors of 705 that divides 705 without a remainder.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 57

List of positive integer divisors of 57 that divides 57 without a remainder.

1, 3, 19, 57

Divisors of 403

List of positive integer divisors of 403 that divides 403 without a remainder.

1, 13, 31, 403

Greatest Common Divisior

We found the divisors of 470, 705, 57, 403 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 470, 705, 57, 403 is 1.

Therefore, GCD of numbers 470, 705, 57, 403 is 1

Given Input Data is 470, 705, 57, 403

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 705 is 3 x 5 x 47

Prime Factorization of 57 is 3 x 19

Prime Factorization of 403 is 13 x 31

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, 705) = 1410

GCD(470, 705) = ( 470 x 705 ) / 1410

GCD(470, 705) = 331350 / 1410

GCD(470, 705) = 235

Step2:

Here we consider the GCD from the above i.e. 235 as first number and the next as 57

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

LCM(235, 57) = 13395

GCD(235, 57) = ( 235 x 57 ) / 13395

GCD(235, 57) = 13395 / 13395

GCD(235, 57) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 403

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

LCM(1, 403) = 403

GCD(1, 403) = ( 1 x 403 ) / 403

GCD(1, 403) = 403 / 403

GCD(1, 403) = 1

GCD of 470, 705, 57, 403 is 1

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1. What is the GCD of 470, 705, 57, 403?

GCD of 470, 705, 57, 403 is 1

2. Where do I get the detailed procedure to find GCD of 470, 705, 57, 403?

You can find a detailed procedure to find GCD of 470, 705, 57, 403 on our page.

3. How to find GCD of 470, 705, 57, 403 on a calculator?

You can find the GCD of 470, 705, 57, 403 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.