GCD of 663, 204, 172, 148 Calculator

Given Input numbers are 663, 204, 172, 148

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

Divisors of 663

List of positive integer divisors of 663 that divides 663 without a remainder.

1, 3, 13, 17, 39, 51, 221, 663

Divisors of 204

List of positive integer divisors of 204 that divides 204 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

Divisors of 172

List of positive integer divisors of 172 that divides 172 without a remainder.

1, 2, 4, 43, 86, 172

Divisors of 148

List of positive integer divisors of 148 that divides 148 without a remainder.

1, 2, 4, 37, 74, 148

Greatest Common Divisior

We found the divisors of 663, 204, 172, 148 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 663, 204, 172, 148 is 1.

Therefore, GCD of numbers 663, 204, 172, 148 is 1

Given Input Data is 663, 204, 172, 148

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

Prime Factorization of 663 is 3 x 13 x 17

Prime Factorization of 204 is 2 x 2 x 3 x 17

Prime Factorization of 172 is 2 x 2 x 43

Prime Factorization of 148 is 2 x 2 x 37

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(663, 204) = 2652

GCD(663, 204) = ( 663 x 204 ) / 2652

GCD(663, 204) = 135252 / 2652

GCD(663, 204) = 51

Step2:

Here we consider the GCD from the above i.e. 51 as first number and the next as 172

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

LCM(51, 172) = 8772

GCD(51, 172) = ( 51 x 172 ) / 8772

GCD(51, 172) = 8772 / 8772

GCD(51, 172) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 148

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

LCM(1, 148) = 148

GCD(1, 148) = ( 1 x 148 ) / 148

GCD(1, 148) = 148 / 148

GCD(1, 148) = 1

GCD of 663, 204, 172, 148 is 1

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• GCD of 877, 242, 314, 848
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1. What is the GCD of 663, 204, 172, 148?

GCD of 663, 204, 172, 148 is 1

2. Where do I get the detailed procedure to find GCD of 663, 204, 172, 148?

You can find a detailed procedure to find GCD of 663, 204, 172, 148 on our page.

3. How to find GCD of 663, 204, 172, 148 on a calculator?

You can find the GCD of 663, 204, 172, 148 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.