GCD of 414, 642, 373, 836 Calculator

Given Input numbers are 414, 642, 373, 836

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

Divisors of 414

List of positive integer divisors of 414 that divides 414 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Divisors of 642

List of positive integer divisors of 642 that divides 642 without a remainder.

1, 2, 3, 6, 107, 214, 321, 642

Divisors of 373

List of positive integer divisors of 373 that divides 373 without a remainder.

1, 373

Divisors of 836

List of positive integer divisors of 836 that divides 836 without a remainder.

1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836

Greatest Common Divisior

We found the divisors of 414, 642, 373, 836 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 414, 642, 373, 836 is 1.

Therefore, GCD of numbers 414, 642, 373, 836 is 1

Given Input Data is 414, 642, 373, 836

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

Prime Factorization of 414 is 2 x 3 x 3 x 23

Prime Factorization of 642 is 2 x 3 x 107

Prime Factorization of 373 is 373

Prime Factorization of 836 is 2 x 2 x 11 x 19

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(414, 642) = 44298

GCD(414, 642) = ( 414 x 642 ) / 44298

GCD(414, 642) = 265788 / 44298

GCD(414, 642) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 373

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

LCM(6, 373) = 2238

GCD(6, 373) = ( 6 x 373 ) / 2238

GCD(6, 373) = 2238 / 2238

GCD(6, 373) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 836

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

LCM(1, 836) = 836

GCD(1, 836) = ( 1 x 836 ) / 836

GCD(1, 836) = 836 / 836

GCD(1, 836) = 1

GCD of 414, 642, 373, 836 is 1

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1. What is the GCD of 414, 642, 373, 836?

GCD of 414, 642, 373, 836 is 1

2. Where do I get the detailed procedure to find GCD of 414, 642, 373, 836?

You can find a detailed procedure to find GCD of 414, 642, 373, 836 on our page.

3. How to find GCD of 414, 642, 373, 836 on a calculator?

You can find the GCD of 414, 642, 373, 836 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.