GCD of 352, 418, 685, 320 Calculator

Given Input numbers are 352, 418, 685, 320

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

Divisors of 352

List of positive integer divisors of 352 that divides 352 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

Divisors of 418

List of positive integer divisors of 418 that divides 418 without a remainder.

1, 2, 11, 19, 22, 38, 209, 418

Divisors of 685

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

1, 5, 137, 685

Divisors of 320

List of positive integer divisors of 320 that divides 320 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Greatest Common Divisior

We found the divisors of 352, 418, 685, 320 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 352, 418, 685, 320 is 1.

Therefore, GCD of numbers 352, 418, 685, 320 is 1

Given Input Data is 352, 418, 685, 320

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

Prime Factorization of 352 is 2 x 2 x 2 x 2 x 2 x 11

Prime Factorization of 418 is 2 x 11 x 19

Prime Factorization of 685 is 5 x 137

Prime Factorization of 320 is 2 x 2 x 2 x 2 x 2 x 2 x 5

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(352, 418) = 6688

GCD(352, 418) = ( 352 x 418 ) / 6688

GCD(352, 418) = 147136 / 6688

GCD(352, 418) = 22

Step2:

Here we consider the GCD from the above i.e. 22 as first number and the next as 685

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

LCM(22, 685) = 15070

GCD(22, 685) = ( 22 x 685 ) / 15070

GCD(22, 685) = 15070 / 15070

GCD(22, 685) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 320

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

LCM(1, 320) = 320

GCD(1, 320) = ( 1 x 320 ) / 320

GCD(1, 320) = 320 / 320

GCD(1, 320) = 1

GCD of 352, 418, 685, 320 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 715, 501, 616, 604
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• GCD of 627, 742, 681, 810

1. What is the GCD of 352, 418, 685, 320?

GCD of 352, 418, 685, 320 is 1

2. Where do I get the detailed procedure to find GCD of 352, 418, 685, 320?

You can find a detailed procedure to find GCD of 352, 418, 685, 320 on our page.

3. How to find GCD of 352, 418, 685, 320 on a calculator?

You can find the GCD of 352, 418, 685, 320 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.