GCD of 402, 906, 47, 690 Calculator

Given Input numbers are 402, 906, 47, 690

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 906

List of positive integer divisors of 906 that divides 906 without a remainder.

1, 2, 3, 6, 151, 302, 453, 906

Divisors of 47

List of positive integer divisors of 47 that divides 47 without a remainder.

1, 47

Divisors of 690

List of positive integer divisors of 690 that divides 690 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Greatest Common Divisior

We found the divisors of 402, 906, 47, 690 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 402, 906, 47, 690 is 1.

Therefore, GCD of numbers 402, 906, 47, 690 is 1

Given Input Data is 402, 906, 47, 690

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 906 is 2 x 3 x 151

Prime Factorization of 47 is 47

Prime Factorization of 690 is 2 x 3 x 5 x 23

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, 906) = 60702

GCD(402, 906) = ( 402 x 906 ) / 60702

GCD(402, 906) = 364212 / 60702

GCD(402, 906) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 47

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

LCM(6, 47) = 282

GCD(6, 47) = ( 6 x 47 ) / 282

GCD(6, 47) = 282 / 282

GCD(6, 47) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 690

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

LCM(1, 690) = 690

GCD(1, 690) = ( 1 x 690 ) / 690

GCD(1, 690) = 690 / 690

GCD(1, 690) = 1

GCD of 402, 906, 47, 690 is 1

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• GCD of 892, 154, 51, 196
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1. What is the GCD of 402, 906, 47, 690?

GCD of 402, 906, 47, 690 is 1

2. Where do I get the detailed procedure to find GCD of 402, 906, 47, 690?

You can find a detailed procedure to find GCD of 402, 906, 47, 690 on our page.

3. How to find GCD of 402, 906, 47, 690 on a calculator?

You can find the GCD of 402, 906, 47, 690 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.