GCD of 756, 103, 81, 900 Calculator

Given Input numbers are 756, 103, 81, 900

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

Divisors of 756

List of positive integer divisors of 756 that divides 756 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 103

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

1, 103

Divisors of 81

List of positive integer divisors of 81 that divides 81 without a remainder.

1, 3, 9, 27, 81

Divisors of 900

List of positive integer divisors of 900 that divides 900 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Greatest Common Divisior

We found the divisors of 756, 103, 81, 900 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 756, 103, 81, 900 is 1.

Therefore, GCD of numbers 756, 103, 81, 900 is 1

Given Input Data is 756, 103, 81, 900

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

Prime Factorization of 756 is 2 x 2 x 3 x 3 x 3 x 7

Prime Factorization of 103 is 103

Prime Factorization of 81 is 3 x 3 x 3 x 3

Prime Factorization of 900 is 2 x 2 x 3 x 3 x 5 x 5

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(756, 103) = 77868

GCD(756, 103) = ( 756 x 103 ) / 77868

GCD(756, 103) = 77868 / 77868

GCD(756, 103) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 81

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

LCM(1, 81) = 81

GCD(1, 81) = ( 1 x 81 ) / 81

GCD(1, 81) = 81 / 81

GCD(1, 81) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 900

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

LCM(1, 900) = 900

GCD(1, 900) = ( 1 x 900 ) / 900

GCD(1, 900) = 900 / 900

GCD(1, 900) = 1

GCD of 756, 103, 81, 900 is 1

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1. What is the GCD of 756, 103, 81, 900?

GCD of 756, 103, 81, 900 is 1

2. Where do I get the detailed procedure to find GCD of 756, 103, 81, 900?

You can find a detailed procedure to find GCD of 756, 103, 81, 900 on our page.

3. How to find GCD of 756, 103, 81, 900 on a calculator?

You can find the GCD of 756, 103, 81, 900 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.