GCD of 40, 126, 867, 864 Calculator

Given Input numbers are 40, 126, 867, 864

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

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 126

List of positive integer divisors of 126 that divides 126 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

Divisors of 867

List of positive integer divisors of 867 that divides 867 without a remainder.

1, 3, 17, 51, 289, 867

Divisors of 864

List of positive integer divisors of 864 that divides 864 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

Greatest Common Divisior

We found the divisors of 40, 126, 867, 864 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 40, 126, 867, 864 is 1.

Therefore, GCD of numbers 40, 126, 867, 864 is 1

Given Input Data is 40, 126, 867, 864

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

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

Prime Factorization of 126 is 2 x 3 x 3 x 7

Prime Factorization of 867 is 3 x 17 x 17

Prime Factorization of 864 is 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

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(40, 126) = 2520

GCD(40, 126) = ( 40 x 126 ) / 2520

GCD(40, 126) = 5040 / 2520

GCD(40, 126) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 867

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

LCM(2, 867) = 1734

GCD(2, 867) = ( 2 x 867 ) / 1734

GCD(2, 867) = 1734 / 1734

GCD(2, 867) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 864

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

LCM(1, 864) = 864

GCD(1, 864) = ( 1 x 864 ) / 864

GCD(1, 864) = 864 / 864

GCD(1, 864) = 1

GCD of 40, 126, 867, 864 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 36, 684, 554, 406
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• GCD of 62, 739, 253, 461
• GCD of 34, 300, 427, 653
• GCD of 87, 732, 334, 793

1. What is the GCD of 40, 126, 867, 864?

GCD of 40, 126, 867, 864 is 1

2. Where do I get the detailed procedure to find GCD of 40, 126, 867, 864?

You can find a detailed procedure to find GCD of 40, 126, 867, 864 on our page.

3. How to find GCD of 40, 126, 867, 864 on a calculator?

You can find the GCD of 40, 126, 867, 864 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.