GCD of 705, 567, 99, 903 Calculator

Given Input numbers are 705, 567, 99, 903

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

Divisors of 705

List of positive integer divisors of 705 that divides 705 without a remainder.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 567

List of positive integer divisors of 567 that divides 567 without a remainder.

1, 3, 7, 9, 21, 27, 63, 81, 189, 567

Divisors of 99

List of positive integer divisors of 99 that divides 99 without a remainder.

1, 3, 9, 11, 33, 99

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 705, 567, 99, 903 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 705, 567, 99, 903 is 3.

Therefore, GCD of numbers 705, 567, 99, 903 is 3

Given Input Data is 705, 567, 99, 903

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

Prime Factorization of 705 is 3 x 5 x 47

Prime Factorization of 567 is 3 x 3 x 3 x 3 x 7

Prime Factorization of 99 is 3 x 3 x 11

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(705, 567) = 133245

GCD(705, 567) = ( 705 x 567 ) / 133245

GCD(705, 567) = 399735 / 133245

GCD(705, 567) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 99

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

LCM(3, 99) = 99

GCD(3, 99) = ( 3 x 99 ) / 99

GCD(3, 99) = 297 / 99

GCD(3, 99) = 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 705, 567, 99, 903 is 3

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1. What is the GCD of 705, 567, 99, 903?

GCD of 705, 567, 99, 903 is 3

2. Where do I get the detailed procedure to find GCD of 705, 567, 99, 903?

You can find a detailed procedure to find GCD of 705, 567, 99, 903 on our page.

3. How to find GCD of 705, 567, 99, 903 on a calculator?

You can find the GCD of 705, 567, 99, 903 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.