GCD of 316, 302, 461, 413 Calculator

Given Input numbers are 316, 302, 461, 413

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

Divisors of 316

List of positive integer divisors of 316 that divides 316 without a remainder.

1, 2, 4, 79, 158, 316

Divisors of 302

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

1, 2, 151, 302

Divisors of 461

List of positive integer divisors of 461 that divides 461 without a remainder.

1, 461

Divisors of 413

List of positive integer divisors of 413 that divides 413 without a remainder.

1, 7, 59, 413

Greatest Common Divisior

We found the divisors of 316, 302, 461, 413 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 316, 302, 461, 413 is 1.

Therefore, GCD of numbers 316, 302, 461, 413 is 1

Given Input Data is 316, 302, 461, 413

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

Prime Factorization of 316 is 2 x 2 x 79

Prime Factorization of 302 is 2 x 151

Prime Factorization of 461 is 461

Prime Factorization of 413 is 7 x 59

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(316, 302) = 47716

GCD(316, 302) = ( 316 x 302 ) / 47716

GCD(316, 302) = 95432 / 47716

GCD(316, 302) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 461

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

LCM(2, 461) = 922

GCD(2, 461) = ( 2 x 461 ) / 922

GCD(2, 461) = 922 / 922

GCD(2, 461) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 413

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

LCM(1, 413) = 413

GCD(1, 413) = ( 1 x 413 ) / 413

GCD(1, 413) = 413 / 413

GCD(1, 413) = 1

GCD of 316, 302, 461, 413 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 261, 215, 229, 967
• GCD of 341, 735, 630, 541
• GCD of 464, 392, 709, 753
• GCD of 769, 421, 180, 764
• GCD of 518, 638, 311, 347

1. What is the GCD of 316, 302, 461, 413?

GCD of 316, 302, 461, 413 is 1

2. Where do I get the detailed procedure to find GCD of 316, 302, 461, 413?

You can find a detailed procedure to find GCD of 316, 302, 461, 413 on our page.

3. How to find GCD of 316, 302, 461, 413 on a calculator?

You can find the GCD of 316, 302, 461, 413 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.