GCD of 175, 664, 253, 396 Calculator

Given Input numbers are 175, 664, 253, 396

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

Divisors of 175

List of positive integer divisors of 175 that divides 175 without a remainder.

1, 5, 7, 25, 35, 175

Divisors of 664

List of positive integer divisors of 664 that divides 664 without a remainder.

1, 2, 4, 8, 83, 166, 332, 664

Divisors of 253

List of positive integer divisors of 253 that divides 253 without a remainder.

1, 11, 23, 253

Divisors of 396

List of positive integer divisors of 396 that divides 396 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Greatest Common Divisior

We found the divisors of 175, 664, 253, 396 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 175, 664, 253, 396 is 1.

Therefore, GCD of numbers 175, 664, 253, 396 is 1

Given Input Data is 175, 664, 253, 396

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

Prime Factorization of 175 is 5 x 5 x 7

Prime Factorization of 664 is 2 x 2 x 2 x 83

Prime Factorization of 253 is 11 x 23

Prime Factorization of 396 is 2 x 2 x 3 x 3 x 11

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(175, 664) = 116200

GCD(175, 664) = ( 175 x 664 ) / 116200

GCD(175, 664) = 116200 / 116200

GCD(175, 664) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 253

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

LCM(1, 253) = 253

GCD(1, 253) = ( 1 x 253 ) / 253

GCD(1, 253) = 253 / 253

GCD(1, 253) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 396

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

LCM(1, 396) = 396

GCD(1, 396) = ( 1 x 396 ) / 396

GCD(1, 396) = 396 / 396

GCD(1, 396) = 1

GCD of 175, 664, 253, 396 is 1

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1. What is the GCD of 175, 664, 253, 396?

GCD of 175, 664, 253, 396 is 1

2. Where do I get the detailed procedure to find GCD of 175, 664, 253, 396?

You can find a detailed procedure to find GCD of 175, 664, 253, 396 on our page.

3. How to find GCD of 175, 664, 253, 396 on a calculator?

You can find the GCD of 175, 664, 253, 396 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.