GCD of 240, 821, 40, 807 Calculator

Given Input numbers are 240, 821, 40, 807

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

Divisors of 240

List of positive integer divisors of 240 that divides 240 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Divisors of 821

List of positive integer divisors of 821 that divides 821 without a remainder.

1, 821

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 807

List of positive integer divisors of 807 that divides 807 without a remainder.

1, 3, 269, 807

Greatest Common Divisior

We found the divisors of 240, 821, 40, 807 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 240, 821, 40, 807 is 1.

Therefore, GCD of numbers 240, 821, 40, 807 is 1

Given Input Data is 240, 821, 40, 807

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

Prime Factorization of 240 is 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 821 is 821

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

Prime Factorization of 807 is 3 x 269

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(240, 821) = 197040

GCD(240, 821) = ( 240 x 821 ) / 197040

GCD(240, 821) = 197040 / 197040

GCD(240, 821) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 40

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

LCM(1, 40) = 40

GCD(1, 40) = ( 1 x 40 ) / 40

GCD(1, 40) = 40 / 40

GCD(1, 40) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 807

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

LCM(1, 807) = 807

GCD(1, 807) = ( 1 x 807 ) / 807

GCD(1, 807) = 807 / 807

GCD(1, 807) = 1

GCD of 240, 821, 40, 807 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 769, 973, 37, 255
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• GCD of 699, 392, 39, 586

1. What is the GCD of 240, 821, 40, 807?

GCD of 240, 821, 40, 807 is 1

2. Where do I get the detailed procedure to find GCD of 240, 821, 40, 807?

You can find a detailed procedure to find GCD of 240, 821, 40, 807 on our page.

3. How to find GCD of 240, 821, 40, 807 on a calculator?

You can find the GCD of 240, 821, 40, 807 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.