GCD of 506, 316, 359, 711 Calculator

Given Input numbers are 506, 316, 359, 711

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

Divisors of 506

List of positive integer divisors of 506 that divides 506 without a remainder.

1, 2, 11, 22, 23, 46, 253, 506

Divisors of 316

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

1, 2, 4, 79, 158, 316

Divisors of 359

List of positive integer divisors of 359 that divides 359 without a remainder.

1, 359

Divisors of 711

List of positive integer divisors of 711 that divides 711 without a remainder.

1, 3, 9, 79, 237, 711

Greatest Common Divisior

We found the divisors of 506, 316, 359, 711 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 506, 316, 359, 711 is 1.

Therefore, GCD of numbers 506, 316, 359, 711 is 1

Given Input Data is 506, 316, 359, 711

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

Prime Factorization of 506 is 2 x 11 x 23

Prime Factorization of 316 is 2 x 2 x 79

Prime Factorization of 359 is 359

Prime Factorization of 711 is 3 x 3 x 79

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(506, 316) = 79948

GCD(506, 316) = ( 506 x 316 ) / 79948

GCD(506, 316) = 159896 / 79948

GCD(506, 316) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 359

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

LCM(2, 359) = 718

GCD(2, 359) = ( 2 x 359 ) / 718

GCD(2, 359) = 718 / 718

GCD(2, 359) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 711

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

LCM(1, 711) = 711

GCD(1, 711) = ( 1 x 711 ) / 711

GCD(1, 711) = 711 / 711

GCD(1, 711) = 1

GCD of 506, 316, 359, 711 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 659, 493, 857, 106
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• GCD of 738, 707, 209, 506

1. What is the GCD of 506, 316, 359, 711?

GCD of 506, 316, 359, 711 is 1

2. Where do I get the detailed procedure to find GCD of 506, 316, 359, 711?

You can find a detailed procedure to find GCD of 506, 316, 359, 711 on our page.

3. How to find GCD of 506, 316, 359, 711 on a calculator?

You can find the GCD of 506, 316, 359, 711 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.