GCD of 302, 708, 203, 906 Calculator

Given Input numbers are 302, 708, 203, 906

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

Divisors of 302

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

1, 2, 151, 302

Divisors of 708

List of positive integer divisors of 708 that divides 708 without a remainder.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 203

List of positive integer divisors of 203 that divides 203 without a remainder.

1, 7, 29, 203

Divisors of 906

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

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

Greatest Common Divisior

We found the divisors of 302, 708, 203, 906 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 302, 708, 203, 906 is 1.

Therefore, GCD of numbers 302, 708, 203, 906 is 1

Given Input Data is 302, 708, 203, 906

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

Prime Factorization of 302 is 2 x 151

Prime Factorization of 708 is 2 x 2 x 3 x 59

Prime Factorization of 203 is 7 x 29

Prime Factorization of 906 is 2 x 3 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(302, 708) = 106908

GCD(302, 708) = ( 302 x 708 ) / 106908

GCD(302, 708) = 213816 / 106908

GCD(302, 708) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 203

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

LCM(2, 203) = 406

GCD(2, 203) = ( 2 x 203 ) / 406

GCD(2, 203) = 406 / 406

GCD(2, 203) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 906

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

LCM(1, 906) = 906

GCD(1, 906) = ( 1 x 906 ) / 906

GCD(1, 906) = 906 / 906

GCD(1, 906) = 1

GCD of 302, 708, 203, 906 is 1

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1. What is the GCD of 302, 708, 203, 906?

GCD of 302, 708, 203, 906 is 1

2. Where do I get the detailed procedure to find GCD of 302, 708, 203, 906?

You can find a detailed procedure to find GCD of 302, 708, 203, 906 on our page.

3. How to find GCD of 302, 708, 203, 906 on a calculator?

You can find the GCD of 302, 708, 203, 906 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.