GCD of 406, 967, 588, 302 Calculator

Given Input numbers are 406, 967, 588, 302

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

Divisors of 406

List of positive integer divisors of 406 that divides 406 without a remainder.

1, 2, 7, 14, 29, 58, 203, 406

Divisors of 967

List of positive integer divisors of 967 that divides 967 without a remainder.

1, 967

Divisors of 588

List of positive integer divisors of 588 that divides 588 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

Divisors of 302

List of positive integer divisors of 302 that divides 302 without a remainder.

1, 2, 151, 302

Greatest Common Divisior

We found the divisors of 406, 967, 588, 302 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 406, 967, 588, 302 is 1.

Therefore, GCD of numbers 406, 967, 588, 302 is 1

Given Input Data is 406, 967, 588, 302

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

Prime Factorization of 406 is 2 x 7 x 29

Prime Factorization of 967 is 967

Prime Factorization of 588 is 2 x 2 x 3 x 7 x 7

Prime Factorization of 302 is 2 x 151

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(406, 967) = 392602

GCD(406, 967) = ( 406 x 967 ) / 392602

GCD(406, 967) = 392602 / 392602

GCD(406, 967) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 588

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

LCM(1, 588) = 588

GCD(1, 588) = ( 1 x 588 ) / 588

GCD(1, 588) = 588 / 588

GCD(1, 588) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 302

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

LCM(1, 302) = 302

GCD(1, 302) = ( 1 x 302 ) / 302

GCD(1, 302) = 302 / 302

GCD(1, 302) = 1

GCD of 406, 967, 588, 302 is 1

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1. What is the GCD of 406, 967, 588, 302?

GCD of 406, 967, 588, 302 is 1

2. Where do I get the detailed procedure to find GCD of 406, 967, 588, 302?

You can find a detailed procedure to find GCD of 406, 967, 588, 302 on our page.

3. How to find GCD of 406, 967, 588, 302 on a calculator?

You can find the GCD of 406, 967, 588, 302 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.