GCD of 475, 165, 874, 656 Calculator

Given Input numbers are 475, 165, 874, 656

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 165

List of positive integer divisors of 165 that divides 165 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165

Divisors of 874

List of positive integer divisors of 874 that divides 874 without a remainder.

1, 2, 19, 23, 38, 46, 437, 874

Divisors of 656

List of positive integer divisors of 656 that divides 656 without a remainder.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

Greatest Common Divisior

We found the divisors of 475, 165, 874, 656 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 475, 165, 874, 656 is 1.

Therefore, GCD of numbers 475, 165, 874, 656 is 1

Given Input Data is 475, 165, 874, 656

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 165 is 3 x 5 x 11

Prime Factorization of 874 is 2 x 19 x 23

Prime Factorization of 656 is 2 x 2 x 2 x 2 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(475, 165) = 15675

GCD(475, 165) = ( 475 x 165 ) / 15675

GCD(475, 165) = 78375 / 15675

GCD(475, 165) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 874

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

LCM(5, 874) = 4370

GCD(5, 874) = ( 5 x 874 ) / 4370

GCD(5, 874) = 4370 / 4370

GCD(5, 874) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 656

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

LCM(1, 656) = 656

GCD(1, 656) = ( 1 x 656 ) / 656

GCD(1, 656) = 656 / 656

GCD(1, 656) = 1

GCD of 475, 165, 874, 656 is 1

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1. What is the GCD of 475, 165, 874, 656?

GCD of 475, 165, 874, 656 is 1

2. Where do I get the detailed procedure to find GCD of 475, 165, 874, 656?

You can find a detailed procedure to find GCD of 475, 165, 874, 656 on our page.

3. How to find GCD of 475, 165, 874, 656 on a calculator?

You can find the GCD of 475, 165, 874, 656 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.