GCD of 363, 614, 862, 302 Calculator

Given Input numbers are 363, 614, 862, 302

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

Divisors of 363

List of positive integer divisors of 363 that divides 363 without a remainder.

1, 3, 11, 33, 121, 363

Divisors of 614

List of positive integer divisors of 614 that divides 614 without a remainder.

1, 2, 307, 614

Divisors of 862

List of positive integer divisors of 862 that divides 862 without a remainder.

1, 2, 431, 862

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 363, 614, 862, 302 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 363, 614, 862, 302 is 1.

Therefore, GCD of numbers 363, 614, 862, 302 is 1

Given Input Data is 363, 614, 862, 302

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

Prime Factorization of 363 is 3 x 11 x 11

Prime Factorization of 614 is 2 x 307

Prime Factorization of 862 is 2 x 431

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(363, 614) = 222882

GCD(363, 614) = ( 363 x 614 ) / 222882

GCD(363, 614) = 222882 / 222882

GCD(363, 614) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 862

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

LCM(1, 862) = 862

GCD(1, 862) = ( 1 x 862 ) / 862

GCD(1, 862) = 862 / 862

GCD(1, 862) = 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 363, 614, 862, 302 is 1

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1. What is the GCD of 363, 614, 862, 302?

GCD of 363, 614, 862, 302 is 1

2. Where do I get the detailed procedure to find GCD of 363, 614, 862, 302?

You can find a detailed procedure to find GCD of 363, 614, 862, 302 on our page.

3. How to find GCD of 363, 614, 862, 302 on a calculator?

You can find the GCD of 363, 614, 862, 302 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.