GCD of 402, 840, 12, 713 Calculator

Given Input numbers are 402, 840, 12, 713

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

Divisors of 402

List of positive integer divisors of 402 that divides 402 without a remainder.

1, 2, 3, 6, 67, 134, 201, 402

Divisors of 840

List of positive integer divisors of 840 that divides 840 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

Divisors of 12

List of positive integer divisors of 12 that divides 12 without a remainder.

1, 2, 3, 4, 6, 12

Divisors of 713

List of positive integer divisors of 713 that divides 713 without a remainder.

1, 23, 31, 713

Greatest Common Divisior

We found the divisors of 402, 840, 12, 713 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 402, 840, 12, 713 is 1.

Therefore, GCD of numbers 402, 840, 12, 713 is 1

Given Input Data is 402, 840, 12, 713

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

Prime Factorization of 402 is 2 x 3 x 67

Prime Factorization of 840 is 2 x 2 x 2 x 3 x 5 x 7

Prime Factorization of 12 is 2 x 2 x 3

Prime Factorization of 713 is 23 x 31

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(402, 840) = 56280

GCD(402, 840) = ( 402 x 840 ) / 56280

GCD(402, 840) = 337680 / 56280

GCD(402, 840) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 12

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

LCM(6, 12) = 12

GCD(6, 12) = ( 6 x 12 ) / 12

GCD(6, 12) = 72 / 12

GCD(6, 12) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 713

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

LCM(6, 713) = 4278

GCD(6, 713) = ( 6 x 713 ) / 4278

GCD(6, 713) = 4278 / 4278

GCD(6, 713) = 1

GCD of 402, 840, 12, 713 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 565, 998, 22, 823
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• GCD of 288, 619, 25, 560
• GCD of 371, 146, 99, 399
• GCD of 565, 459, 42, 227

1. What is the GCD of 402, 840, 12, 713?

GCD of 402, 840, 12, 713 is 1

2. Where do I get the detailed procedure to find GCD of 402, 840, 12, 713?

You can find a detailed procedure to find GCD of 402, 840, 12, 713 on our page.

3. How to find GCD of 402, 840, 12, 713 on a calculator?

You can find the GCD of 402, 840, 12, 713 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.