GCD of 814, 404, 88, 414 Calculator

Given Input numbers are 814, 404, 88, 414

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

Divisors of 814

List of positive integer divisors of 814 that divides 814 without a remainder.

1, 2, 11, 22, 37, 74, 407, 814

Divisors of 404

List of positive integer divisors of 404 that divides 404 without a remainder.

1, 2, 4, 101, 202, 404

Divisors of 88

List of positive integer divisors of 88 that divides 88 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88

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

Greatest Common Divisior

We found the divisors of 814, 404, 88, 414 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 814, 404, 88, 414 is 2.

Therefore, GCD of numbers 814, 404, 88, 414 is 2

Given Input Data is 814, 404, 88, 414

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

Prime Factorization of 814 is 2 x 11 x 37

Prime Factorization of 404 is 2 x 2 x 101

Prime Factorization of 88 is 2 x 2 x 2 x 11

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

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(814, 404) = 164428

GCD(814, 404) = ( 814 x 404 ) / 164428

GCD(814, 404) = 328856 / 164428

GCD(814, 404) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 88

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

LCM(2, 88) = 88

GCD(2, 88) = ( 2 x 88 ) / 88

GCD(2, 88) = 176 / 88

GCD(2, 88) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 414

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

LCM(2, 414) = 414

GCD(2, 414) = ( 2 x 414 ) / 414

GCD(2, 414) = 828 / 414

GCD(2, 414) = 2

GCD of 814, 404, 88, 414 is 2

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• GCD of 531, 858, 11, 653
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1. What is the GCD of 814, 404, 88, 414?

GCD of 814, 404, 88, 414 is 2

2. Where do I get the detailed procedure to find GCD of 814, 404, 88, 414?

You can find a detailed procedure to find GCD of 814, 404, 88, 414 on our page.

3. How to find GCD of 814, 404, 88, 414 on a calculator?

You can find the GCD of 814, 404, 88, 414 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.