GCD of 475, 448, 25, 353 Calculator

Given Input numbers are 475, 448, 25, 353

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 448

List of positive integer divisors of 448 that divides 448 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

Divisors of 25

List of positive integer divisors of 25 that divides 25 without a remainder.

1, 5, 25

Divisors of 353

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

1, 353

Greatest Common Divisior

We found the divisors of 475, 448, 25, 353 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 475, 448, 25, 353 is 1.

Therefore, GCD of numbers 475, 448, 25, 353 is 1

Given Input Data is 475, 448, 25, 353

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 448 is 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 25 is 5 x 5

Prime Factorization of 353 is 353

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, 448) = 212800

GCD(475, 448) = ( 475 x 448 ) / 212800

GCD(475, 448) = 212800 / 212800

GCD(475, 448) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 25

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

LCM(1, 25) = 25

GCD(1, 25) = ( 1 x 25 ) / 25

GCD(1, 25) = 25 / 25

GCD(1, 25) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 353

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

LCM(1, 353) = 353

GCD(1, 353) = ( 1 x 353 ) / 353

GCD(1, 353) = 353 / 353

GCD(1, 353) = 1

GCD of 475, 448, 25, 353 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 502, 138, 66, 176
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• GCD of 400, 670, 72, 764
• GCD of 157, 314, 60, 960
• GCD of 107, 211, 73, 190

1. What is the GCD of 475, 448, 25, 353?

GCD of 475, 448, 25, 353 is 1

2. Where do I get the detailed procedure to find GCD of 475, 448, 25, 353?

You can find a detailed procedure to find GCD of 475, 448, 25, 353 on our page.

3. How to find GCD of 475, 448, 25, 353 on a calculator?

You can find the GCD of 475, 448, 25, 353 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.