GCD of 276, 756, 40, 663 Calculator

Given Input numbers are 276, 756, 40, 663

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

Divisors of 276

List of positive integer divisors of 276 that divides 276 without a remainder.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

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 40

List of positive integer divisors of 40 that divides 40 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40

Divisors of 663

List of positive integer divisors of 663 that divides 663 without a remainder.

1, 3, 13, 17, 39, 51, 221, 663

Greatest Common Divisior

We found the divisors of 276, 756, 40, 663 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 276, 756, 40, 663 is 1.

Therefore, GCD of numbers 276, 756, 40, 663 is 1

Given Input Data is 276, 756, 40, 663

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

Prime Factorization of 276 is 2 x 2 x 3 x 23

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

Prime Factorization of 40 is 2 x 2 x 2 x 5

Prime Factorization of 663 is 3 x 13 x 17

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(276, 756) = 17388

GCD(276, 756) = ( 276 x 756 ) / 17388

GCD(276, 756) = 208656 / 17388

GCD(276, 756) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 40

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

LCM(12, 40) = 120

GCD(12, 40) = ( 12 x 40 ) / 120

GCD(12, 40) = 480 / 120

GCD(12, 40) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 663

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

LCM(4, 663) = 2652

GCD(4, 663) = ( 4 x 663 ) / 2652

GCD(4, 663) = 2652 / 2652

GCD(4, 663) = 1

GCD of 276, 756, 40, 663 is 1

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1. What is the GCD of 276, 756, 40, 663?

GCD of 276, 756, 40, 663 is 1

2. Where do I get the detailed procedure to find GCD of 276, 756, 40, 663?

You can find a detailed procedure to find GCD of 276, 756, 40, 663 on our page.

3. How to find GCD of 276, 756, 40, 663 on a calculator?

You can find the GCD of 276, 756, 40, 663 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.