GCD of 475, 975, 163, 953 Calculator

Given Input numbers are 475, 975, 163, 953

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 975

List of positive integer divisors of 975 that divides 975 without a remainder.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Divisors of 163

List of positive integer divisors of 163 that divides 163 without a remainder.

1, 163

Divisors of 953

List of positive integer divisors of 953 that divides 953 without a remainder.

1, 953

Greatest Common Divisior

We found the divisors of 475, 975, 163, 953 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 475, 975, 163, 953 is 1.

Therefore, GCD of numbers 475, 975, 163, 953 is 1

Given Input Data is 475, 975, 163, 953

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 975 is 3 x 5 x 5 x 13

Prime Factorization of 163 is 163

Prime Factorization of 953 is 953

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, 975) = 18525

GCD(475, 975) = ( 475 x 975 ) / 18525

GCD(475, 975) = 463125 / 18525

GCD(475, 975) = 25

Step2:

Here we consider the GCD from the above i.e. 25 as first number and the next as 163

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

LCM(25, 163) = 4075

GCD(25, 163) = ( 25 x 163 ) / 4075

GCD(25, 163) = 4075 / 4075

GCD(25, 163) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 953

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

LCM(1, 953) = 953

GCD(1, 953) = ( 1 x 953 ) / 953

GCD(1, 953) = 953 / 953

GCD(1, 953) = 1

GCD of 475, 975, 163, 953 is 1

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1. What is the GCD of 475, 975, 163, 953?

GCD of 475, 975, 163, 953 is 1

2. Where do I get the detailed procedure to find GCD of 475, 975, 163, 953?

You can find a detailed procedure to find GCD of 475, 975, 163, 953 on our page.

3. How to find GCD of 475, 975, 163, 953 on a calculator?

You can find the GCD of 475, 975, 163, 953 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.