GCD of 476, 458, 617, 316 Calculator

Given Input numbers are 476, 458, 617, 316

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

Divisors of 476

List of positive integer divisors of 476 that divides 476 without a remainder.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

Divisors of 458

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

1, 2, 229, 458

Divisors of 617

List of positive integer divisors of 617 that divides 617 without a remainder.

1, 617

Divisors of 316

List of positive integer divisors of 316 that divides 316 without a remainder.

1, 2, 4, 79, 158, 316

Greatest Common Divisior

We found the divisors of 476, 458, 617, 316 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 476, 458, 617, 316 is 1.

Therefore, GCD of numbers 476, 458, 617, 316 is 1

Given Input Data is 476, 458, 617, 316

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

Prime Factorization of 476 is 2 x 2 x 7 x 17

Prime Factorization of 458 is 2 x 229

Prime Factorization of 617 is 617

Prime Factorization of 316 is 2 x 2 x 79

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(476, 458) = 109004

GCD(476, 458) = ( 476 x 458 ) / 109004

GCD(476, 458) = 218008 / 109004

GCD(476, 458) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 617

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

LCM(2, 617) = 1234

GCD(2, 617) = ( 2 x 617 ) / 1234

GCD(2, 617) = 1234 / 1234

GCD(2, 617) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 316

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

LCM(1, 316) = 316

GCD(1, 316) = ( 1 x 316 ) / 316

GCD(1, 316) = 316 / 316

GCD(1, 316) = 1

GCD of 476, 458, 617, 316 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 308, 433, 459, 341
• GCD of 413, 999, 832, 616
• GCD of 241, 916, 915, 358
• GCD of 304, 362, 261, 673
• GCD of 723, 494, 103, 166

1. What is the GCD of 476, 458, 617, 316?

GCD of 476, 458, 617, 316 is 1

2. Where do I get the detailed procedure to find GCD of 476, 458, 617, 316?

You can find a detailed procedure to find GCD of 476, 458, 617, 316 on our page.

3. How to find GCD of 476, 458, 617, 316 on a calculator?

You can find the GCD of 476, 458, 617, 316 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.