GCD of 475, 342, 353, 964 Calculator

Given Input numbers are 475, 342, 353, 964

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

Divisors of 475

List of positive integer divisors of 475 that divides 475 without a remainder.

1, 5, 19, 25, 95, 475

Divisors of 342

List of positive integer divisors of 342 that divides 342 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 353

List of positive integer divisors of 353 that divides 353 without a remainder.

1, 353

Divisors of 964

List of positive integer divisors of 964 that divides 964 without a remainder.

1, 2, 4, 241, 482, 964

Greatest Common Divisior

We found the divisors of 475, 342, 353, 964 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 475, 342, 353, 964 is 1.

Therefore, GCD of numbers 475, 342, 353, 964 is 1

Given Input Data is 475, 342, 353, 964

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

Prime Factorization of 475 is 5 x 5 x 19

Prime Factorization of 342 is 2 x 3 x 3 x 19

Prime Factorization of 353 is 353

Prime Factorization of 964 is 2 x 2 x 241

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(475, 342) = 8550

GCD(475, 342) = ( 475 x 342 ) / 8550

GCD(475, 342) = 162450 / 8550

GCD(475, 342) = 19

Step2:

Here we consider the GCD from the above i.e. 19 as first number and the next as 353

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

LCM(19, 353) = 6707

GCD(19, 353) = ( 19 x 353 ) / 6707

GCD(19, 353) = 6707 / 6707

GCD(19, 353) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 964

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

LCM(1, 964) = 964

GCD(1, 964) = ( 1 x 964 ) / 964

GCD(1, 964) = 964 / 964

GCD(1, 964) = 1

GCD of 475, 342, 353, 964 is 1

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1. What is the GCD of 475, 342, 353, 964?

GCD of 475, 342, 353, 964 is 1

2. Where do I get the detailed procedure to find GCD of 475, 342, 353, 964?

You can find a detailed procedure to find GCD of 475, 342, 353, 964 on our page.

3. How to find GCD of 475, 342, 353, 964 on a calculator?

You can find the GCD of 475, 342, 353, 964 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.