GCD of 470, 296, 174, 533 Calculator

Given Input numbers are 470, 296, 174, 533

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 296

List of positive integer divisors of 296 that divides 296 without a remainder.

1, 2, 4, 8, 37, 74, 148, 296

Divisors of 174

List of positive integer divisors of 174 that divides 174 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174

Divisors of 533

List of positive integer divisors of 533 that divides 533 without a remainder.

1, 13, 41, 533

Greatest Common Divisior

We found the divisors of 470, 296, 174, 533 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 470, 296, 174, 533 is 1.

Therefore, GCD of numbers 470, 296, 174, 533 is 1

Given Input Data is 470, 296, 174, 533

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 296 is 2 x 2 x 2 x 37

Prime Factorization of 174 is 2 x 3 x 29

Prime Factorization of 533 is 13 x 41

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, 296) = 69560

GCD(470, 296) = ( 470 x 296 ) / 69560

GCD(470, 296) = 139120 / 69560

GCD(470, 296) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 174

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

LCM(2, 174) = 174

GCD(2, 174) = ( 2 x 174 ) / 174

GCD(2, 174) = 348 / 174

GCD(2, 174) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 533

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

LCM(2, 533) = 1066

GCD(2, 533) = ( 2 x 533 ) / 1066

GCD(2, 533) = 1066 / 1066

GCD(2, 533) = 1

GCD of 470, 296, 174, 533 is 1

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• GCD of 287, 452, 696, 116
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1. What is the GCD of 470, 296, 174, 533?

GCD of 470, 296, 174, 533 is 1

2. Where do I get the detailed procedure to find GCD of 470, 296, 174, 533?

You can find a detailed procedure to find GCD of 470, 296, 174, 533 on our page.

3. How to find GCD of 470, 296, 174, 533 on a calculator?

You can find the GCD of 470, 296, 174, 533 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.