GCD of 768, 657, 15, 903 Calculator

Given Input numbers are 768, 657, 15, 903

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

Divisors of 768

List of positive integer divisors of 768 that divides 768 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

Divisors of 657

List of positive integer divisors of 657 that divides 657 without a remainder.

1, 3, 9, 73, 219, 657

Divisors of 15

List of positive integer divisors of 15 that divides 15 without a remainder.

1, 3, 5, 15

Divisors of 903

List of positive integer divisors of 903 that divides 903 without a remainder.

1, 3, 7, 21, 43, 129, 301, 903

Greatest Common Divisior

We found the divisors of 768, 657, 15, 903 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 768, 657, 15, 903 is 3.

Therefore, GCD of numbers 768, 657, 15, 903 is 3

Given Input Data is 768, 657, 15, 903

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

Prime Factorization of 768 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 657 is 3 x 3 x 73

Prime Factorization of 15 is 3 x 5

Prime Factorization of 903 is 3 x 7 x 43

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(768, 657) = 168192

GCD(768, 657) = ( 768 x 657 ) / 168192

GCD(768, 657) = 504576 / 168192

GCD(768, 657) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 15

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

LCM(3, 15) = 15

GCD(3, 15) = ( 3 x 15 ) / 15

GCD(3, 15) = 45 / 15

GCD(3, 15) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 903

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

LCM(3, 903) = 903

GCD(3, 903) = ( 3 x 903 ) / 903

GCD(3, 903) = 2709 / 903

GCD(3, 903) = 3

GCD of 768, 657, 15, 903 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 754, 743, 20, 902
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• GCD of 719, 138, 57, 112

1. What is the GCD of 768, 657, 15, 903?

GCD of 768, 657, 15, 903 is 3

2. Where do I get the detailed procedure to find GCD of 768, 657, 15, 903?

You can find a detailed procedure to find GCD of 768, 657, 15, 903 on our page.

3. How to find GCD of 768, 657, 15, 903 on a calculator?

You can find the GCD of 768, 657, 15, 903 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.