GCD of 477, 623, 57, 314 Calculator

Given Input numbers are 477, 623, 57, 314

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

Divisors of 477

List of positive integer divisors of 477 that divides 477 without a remainder.

1, 3, 9, 53, 159, 477

Divisors of 623

List of positive integer divisors of 623 that divides 623 without a remainder.

1, 7, 89, 623

Divisors of 57

List of positive integer divisors of 57 that divides 57 without a remainder.

1, 3, 19, 57

Divisors of 314

List of positive integer divisors of 314 that divides 314 without a remainder.

1, 2, 157, 314

Greatest Common Divisior

We found the divisors of 477, 623, 57, 314 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 477, 623, 57, 314 is 1.

Therefore, GCD of numbers 477, 623, 57, 314 is 1

Given Input Data is 477, 623, 57, 314

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

Prime Factorization of 477 is 3 x 3 x 53

Prime Factorization of 623 is 7 x 89

Prime Factorization of 57 is 3 x 19

Prime Factorization of 314 is 2 x 157

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(477, 623) = 297171

GCD(477, 623) = ( 477 x 623 ) / 297171

GCD(477, 623) = 297171 / 297171

GCD(477, 623) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 57

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

LCM(1, 57) = 57

GCD(1, 57) = ( 1 x 57 ) / 57

GCD(1, 57) = 57 / 57

GCD(1, 57) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 314

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

LCM(1, 314) = 314

GCD(1, 314) = ( 1 x 314 ) / 314

GCD(1, 314) = 314 / 314

GCD(1, 314) = 1

GCD of 477, 623, 57, 314 is 1

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• GCD of 747, 136, 79, 360
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• GCD of 275, 331, 15, 347

1. What is the GCD of 477, 623, 57, 314?

GCD of 477, 623, 57, 314 is 1

2. Where do I get the detailed procedure to find GCD of 477, 623, 57, 314?

You can find a detailed procedure to find GCD of 477, 623, 57, 314 on our page.

3. How to find GCD of 477, 623, 57, 314 on a calculator?

You can find the GCD of 477, 623, 57, 314 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.