GCD of 504, 906, 28, 103 Calculator

Given Input numbers are 504, 906, 28, 103

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

Divisors of 504

List of positive integer divisors of 504 that divides 504 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Divisors of 906

List of positive integer divisors of 906 that divides 906 without a remainder.

1, 2, 3, 6, 151, 302, 453, 906

Divisors of 28

List of positive integer divisors of 28 that divides 28 without a remainder.

1, 2, 4, 7, 14, 28

Divisors of 103

List of positive integer divisors of 103 that divides 103 without a remainder.

1, 103

Greatest Common Divisior

We found the divisors of 504, 906, 28, 103 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 504, 906, 28, 103 is 1.

Therefore, GCD of numbers 504, 906, 28, 103 is 1

Given Input Data is 504, 906, 28, 103

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

Prime Factorization of 504 is 2 x 2 x 2 x 3 x 3 x 7

Prime Factorization of 906 is 2 x 3 x 151

Prime Factorization of 28 is 2 x 2 x 7

Prime Factorization of 103 is 103

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(504, 906) = 76104

GCD(504, 906) = ( 504 x 906 ) / 76104

GCD(504, 906) = 456624 / 76104

GCD(504, 906) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 28

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

LCM(6, 28) = 84

GCD(6, 28) = ( 6 x 28 ) / 84

GCD(6, 28) = 168 / 84

GCD(6, 28) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 103

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

LCM(2, 103) = 206

GCD(2, 103) = ( 2 x 103 ) / 206

GCD(2, 103) = 206 / 206

GCD(2, 103) = 1

GCD of 504, 906, 28, 103 is 1

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• GCD of 255, 677, 21, 808
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• GCD of 177, 280, 61, 848
• GCD of 414, 540, 74, 268

1. What is the GCD of 504, 906, 28, 103?

GCD of 504, 906, 28, 103 is 1

2. Where do I get the detailed procedure to find GCD of 504, 906, 28, 103?

You can find a detailed procedure to find GCD of 504, 906, 28, 103 on our page.

3. How to find GCD of 504, 906, 28, 103 on a calculator?

You can find the GCD of 504, 906, 28, 103 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.