GCD of 40, 724, 894, 693 Calculator

Given Input numbers are 40, 724, 894, 693

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 724

List of positive integer divisors of 724 that divides 724 without a remainder.

1, 2, 4, 181, 362, 724

Divisors of 894

List of positive integer divisors of 894 that divides 894 without a remainder.

1, 2, 3, 6, 149, 298, 447, 894

Divisors of 693

List of positive integer divisors of 693 that divides 693 without a remainder.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

Greatest Common Divisior

We found the divisors of 40, 724, 894, 693 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 40, 724, 894, 693 is 1.

Therefore, GCD of numbers 40, 724, 894, 693 is 1

Given Input Data is 40, 724, 894, 693

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 724 is 2 x 2 x 181

Prime Factorization of 894 is 2 x 3 x 149

Prime Factorization of 693 is 3 x 3 x 7 x 11

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, 724) = 7240

GCD(40, 724) = ( 40 x 724 ) / 7240

GCD(40, 724) = 28960 / 7240

GCD(40, 724) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 894

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

LCM(4, 894) = 1788

GCD(4, 894) = ( 4 x 894 ) / 1788

GCD(4, 894) = 3576 / 1788

GCD(4, 894) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 693

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

LCM(2, 693) = 1386

GCD(2, 693) = ( 2 x 693 ) / 1386

GCD(2, 693) = 1386 / 1386

GCD(2, 693) = 1

GCD of 40, 724, 894, 693 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 65, 464, 603, 664
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• GCD of 69, 361, 784, 634
• GCD of 51, 288, 245, 332
• GCD of 22, 416, 420, 530

1. What is the GCD of 40, 724, 894, 693?

GCD of 40, 724, 894, 693 is 1

2. Where do I get the detailed procedure to find GCD of 40, 724, 894, 693?

You can find a detailed procedure to find GCD of 40, 724, 894, 693 on our page.

3. How to find GCD of 40, 724, 894, 693 on a calculator?

You can find the GCD of 40, 724, 894, 693 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.