GCD of 48, 163, 427, 654 Calculator

Given Input numbers are 48, 163, 427, 654

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

Divisors of 48

List of positive integer divisors of 48 that divides 48 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Divisors of 163

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

1, 163

Divisors of 427

List of positive integer divisors of 427 that divides 427 without a remainder.

1, 7, 61, 427

Divisors of 654

List of positive integer divisors of 654 that divides 654 without a remainder.

1, 2, 3, 6, 109, 218, 327, 654

Greatest Common Divisior

We found the divisors of 48, 163, 427, 654 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 48, 163, 427, 654 is 1.

Therefore, GCD of numbers 48, 163, 427, 654 is 1

Given Input Data is 48, 163, 427, 654

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

Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3

Prime Factorization of 163 is 163

Prime Factorization of 427 is 7 x 61

Prime Factorization of 654 is 2 x 3 x 109

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(48, 163) = 7824

GCD(48, 163) = ( 48 x 163 ) / 7824

GCD(48, 163) = 7824 / 7824

GCD(48, 163) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 427

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

LCM(1, 427) = 427

GCD(1, 427) = ( 1 x 427 ) / 427

GCD(1, 427) = 427 / 427

GCD(1, 427) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 654

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

LCM(1, 654) = 654

GCD(1, 654) = ( 1 x 654 ) / 654

GCD(1, 654) = 654 / 654

GCD(1, 654) = 1

GCD of 48, 163, 427, 654 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 37, 556, 630, 926
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• GCD of 78, 416, 208, 151

1. What is the GCD of 48, 163, 427, 654?

GCD of 48, 163, 427, 654 is 1

2. Where do I get the detailed procedure to find GCD of 48, 163, 427, 654?

You can find a detailed procedure to find GCD of 48, 163, 427, 654 on our page.

3. How to find GCD of 48, 163, 427, 654 on a calculator?

You can find the GCD of 48, 163, 427, 654 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.