GCD of 352, 109, 684, 409 Calculator

Given Input numbers are 352, 109, 684, 409

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 109

List of positive integer divisors of 109 that divides 109 without a remainder.

1, 109

Divisors of 684

List of positive integer divisors of 684 that divides 684 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 409

List of positive integer divisors of 409 that divides 409 without a remainder.

1, 409

Greatest Common Divisior

We found the divisors of 352, 109, 684, 409 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 352, 109, 684, 409 is 1.

Therefore, GCD of numbers 352, 109, 684, 409 is 1

Given Input Data is 352, 109, 684, 409

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 109 is 109

Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19

Prime Factorization of 409 is 409

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, 109) = 38368

GCD(352, 109) = ( 352 x 109 ) / 38368

GCD(352, 109) = 38368 / 38368

GCD(352, 109) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 684

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

LCM(1, 684) = 684

GCD(1, 684) = ( 1 x 684 ) / 684

GCD(1, 684) = 684 / 684

GCD(1, 684) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 409

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

LCM(1, 409) = 409

GCD(1, 409) = ( 1 x 409 ) / 409

GCD(1, 409) = 409 / 409

GCD(1, 409) = 1

GCD of 352, 109, 684, 409 is 1

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• GCD of 550, 631, 924, 404
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1. What is the GCD of 352, 109, 684, 409?

GCD of 352, 109, 684, 409 is 1

2. Where do I get the detailed procedure to find GCD of 352, 109, 684, 409?

You can find a detailed procedure to find GCD of 352, 109, 684, 409 on our page.

3. How to find GCD of 352, 109, 684, 409 on a calculator?

You can find the GCD of 352, 109, 684, 409 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.