GCD of 387, 814, 10, 458 Calculator

Given Input numbers are 387, 814, 10, 458

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

Divisors of 387

List of positive integer divisors of 387 that divides 387 without a remainder.

1, 3, 9, 43, 129, 387

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 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

Divisors of 458

List of positive integer divisors of 458 that divides 458 without a remainder.

1, 2, 229, 458

Greatest Common Divisior

We found the divisors of 387, 814, 10, 458 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 387, 814, 10, 458 is 1.

Therefore, GCD of numbers 387, 814, 10, 458 is 1

Given Input Data is 387, 814, 10, 458

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

Prime Factorization of 387 is 3 x 3 x 43

Prime Factorization of 814 is 2 x 11 x 37

Prime Factorization of 10 is 2 x 5

Prime Factorization of 458 is 2 x 229

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(387, 814) = 315018

GCD(387, 814) = ( 387 x 814 ) / 315018

GCD(387, 814) = 315018 / 315018

GCD(387, 814) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 10

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

LCM(1, 10) = 10

GCD(1, 10) = ( 1 x 10 ) / 10

GCD(1, 10) = 10 / 10

GCD(1, 10) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 458

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

LCM(1, 458) = 458

GCD(1, 458) = ( 1 x 458 ) / 458

GCD(1, 458) = 458 / 458

GCD(1, 458) = 1

GCD of 387, 814, 10, 458 is 1

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• GCD of 702, 959, 32, 194
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1. What is the GCD of 387, 814, 10, 458?

GCD of 387, 814, 10, 458 is 1

2. Where do I get the detailed procedure to find GCD of 387, 814, 10, 458?

You can find a detailed procedure to find GCD of 387, 814, 10, 458 on our page.

3. How to find GCD of 387, 814, 10, 458 on a calculator?

You can find the GCD of 387, 814, 10, 458 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.