GCD of 467, 303, 814, 178 Calculator

Given Input numbers are 467, 303, 814, 178

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

Divisors of 467

List of positive integer divisors of 467 that divides 467 without a remainder.

1, 467

Divisors of 303

List of positive integer divisors of 303 that divides 303 without a remainder.

1, 3, 101, 303

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 178

List of positive integer divisors of 178 that divides 178 without a remainder.

1, 2, 89, 178

Greatest Common Divisior

We found the divisors of 467, 303, 814, 178 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 467, 303, 814, 178 is 1.

Therefore, GCD of numbers 467, 303, 814, 178 is 1

Given Input Data is 467, 303, 814, 178

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

Prime Factorization of 467 is 467

Prime Factorization of 303 is 3 x 101

Prime Factorization of 814 is 2 x 11 x 37

Prime Factorization of 178 is 2 x 89

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(467, 303) = 141501

GCD(467, 303) = ( 467 x 303 ) / 141501

GCD(467, 303) = 141501 / 141501

GCD(467, 303) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 814

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

LCM(1, 814) = 814

GCD(1, 814) = ( 1 x 814 ) / 814

GCD(1, 814) = 814 / 814

GCD(1, 814) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 178

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

LCM(1, 178) = 178

GCD(1, 178) = ( 1 x 178 ) / 178

GCD(1, 178) = 178 / 178

GCD(1, 178) = 1

GCD of 467, 303, 814, 178 is 1

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1. What is the GCD of 467, 303, 814, 178?

GCD of 467, 303, 814, 178 is 1

2. Where do I get the detailed procedure to find GCD of 467, 303, 814, 178?

You can find a detailed procedure to find GCD of 467, 303, 814, 178 on our page.

3. How to find GCD of 467, 303, 814, 178 on a calculator?

You can find the GCD of 467, 303, 814, 178 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.