GCD of 294, 409, 84, 109 Calculator

Given Input numbers are 294, 409, 84, 109

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

Divisors of 294

List of positive integer divisors of 294 that divides 294 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

Divisors of 409

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

1, 409

Divisors of 84

List of positive integer divisors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Divisors of 109

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

1, 109

Greatest Common Divisior

We found the divisors of 294, 409, 84, 109 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 294, 409, 84, 109 is 1.

Therefore, GCD of numbers 294, 409, 84, 109 is 1

Given Input Data is 294, 409, 84, 109

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

Prime Factorization of 294 is 2 x 3 x 7 x 7

Prime Factorization of 409 is 409

Prime Factorization of 84 is 2 x 2 x 3 x 7

Prime Factorization of 109 is 109

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(294, 409) = 120246

GCD(294, 409) = ( 294 x 409 ) / 120246

GCD(294, 409) = 120246 / 120246

GCD(294, 409) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 84

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

LCM(1, 84) = 84

GCD(1, 84) = ( 1 x 84 ) / 84

GCD(1, 84) = 84 / 84

GCD(1, 84) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 109

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

LCM(1, 109) = 109

GCD(1, 109) = ( 1 x 109 ) / 109

GCD(1, 109) = 109 / 109

GCD(1, 109) = 1

GCD of 294, 409, 84, 109 is 1

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• GCD of 773, 893, 34, 546
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1. What is the GCD of 294, 409, 84, 109?

GCD of 294, 409, 84, 109 is 1

2. Where do I get the detailed procedure to find GCD of 294, 409, 84, 109?

You can find a detailed procedure to find GCD of 294, 409, 84, 109 on our page.

3. How to find GCD of 294, 409, 84, 109 on a calculator?

You can find the GCD of 294, 409, 84, 109 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.