GCD of 16, 942, 685, 317 Calculator

Given Input numbers are 16, 942, 685, 317

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

Divisors of 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

Divisors of 942

List of positive integer divisors of 942 that divides 942 without a remainder.

1, 2, 3, 6, 157, 314, 471, 942

Divisors of 685

List of positive integer divisors of 685 that divides 685 without a remainder.

1, 5, 137, 685

Divisors of 317

List of positive integer divisors of 317 that divides 317 without a remainder.

1, 317

Greatest Common Divisior

We found the divisors of 16, 942, 685, 317 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 16, 942, 685, 317 is 1.

Therefore, GCD of numbers 16, 942, 685, 317 is 1

Given Input Data is 16, 942, 685, 317

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

Prime Factorization of 16 is 2 x 2 x 2 x 2

Prime Factorization of 942 is 2 x 3 x 157

Prime Factorization of 685 is 5 x 137

Prime Factorization of 317 is 317

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(16, 942) = 7536

GCD(16, 942) = ( 16 x 942 ) / 7536

GCD(16, 942) = 15072 / 7536

GCD(16, 942) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 685

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

LCM(2, 685) = 1370

GCD(2, 685) = ( 2 x 685 ) / 1370

GCD(2, 685) = 1370 / 1370

GCD(2, 685) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 317

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

LCM(1, 317) = 317

GCD(1, 317) = ( 1 x 317 ) / 317

GCD(1, 317) = 317 / 317

GCD(1, 317) = 1

GCD of 16, 942, 685, 317 is 1

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• GCD of 24, 875, 100, 658
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• GCD of 71, 114, 745, 373

1. What is the GCD of 16, 942, 685, 317?

GCD of 16, 942, 685, 317 is 1

2. Where do I get the detailed procedure to find GCD of 16, 942, 685, 317?

You can find a detailed procedure to find GCD of 16, 942, 685, 317 on our page.

3. How to find GCD of 16, 942, 685, 317 on a calculator?

You can find the GCD of 16, 942, 685, 317 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.