GCD of 352, 457, 296, 531 Calculator

Given Input numbers are 352, 457, 296, 531

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

Divisors of 352

List of positive integer divisors of 352 that divides 352 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

Divisors of 457

List of positive integer divisors of 457 that divides 457 without a remainder.

1, 457

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 531

List of positive integer divisors of 531 that divides 531 without a remainder.

1, 3, 9, 59, 177, 531

Greatest Common Divisior

We found the divisors of 352, 457, 296, 531 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 352, 457, 296, 531 is 1.

Therefore, GCD of numbers 352, 457, 296, 531 is 1

Given Input Data is 352, 457, 296, 531

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

Prime Factorization of 352 is 2 x 2 x 2 x 2 x 2 x 11

Prime Factorization of 457 is 457

Prime Factorization of 296 is 2 x 2 x 2 x 37

Prime Factorization of 531 is 3 x 3 x 59

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(352, 457) = 160864

GCD(352, 457) = ( 352 x 457 ) / 160864

GCD(352, 457) = 160864 / 160864

GCD(352, 457) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 296

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

LCM(1, 296) = 296

GCD(1, 296) = ( 1 x 296 ) / 296

GCD(1, 296) = 296 / 296

GCD(1, 296) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 531

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

LCM(1, 531) = 531

GCD(1, 531) = ( 1 x 531 ) / 531

GCD(1, 531) = 531 / 531

GCD(1, 531) = 1

GCD of 352, 457, 296, 531 is 1

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1. What is the GCD of 352, 457, 296, 531?

GCD of 352, 457, 296, 531 is 1

2. Where do I get the detailed procedure to find GCD of 352, 457, 296, 531?

You can find a detailed procedure to find GCD of 352, 457, 296, 531 on our page.

3. How to find GCD of 352, 457, 296, 531 on a calculator?

You can find the GCD of 352, 457, 296, 531 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.