GCD of 457, 260, 318, 916 Calculator

Given Input numbers are 457, 260, 318, 916

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

Divisors of 457

List of positive integer divisors of 457 that divides 457 without a remainder.

1, 457

Divisors of 260

List of positive integer divisors of 260 that divides 260 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

Divisors of 318

List of positive integer divisors of 318 that divides 318 without a remainder.

1, 2, 3, 6, 53, 106, 159, 318

Divisors of 916

List of positive integer divisors of 916 that divides 916 without a remainder.

1, 2, 4, 229, 458, 916

Greatest Common Divisior

We found the divisors of 457, 260, 318, 916 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 457, 260, 318, 916 is 1.

Therefore, GCD of numbers 457, 260, 318, 916 is 1

Given Input Data is 457, 260, 318, 916

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

Prime Factorization of 457 is 457

Prime Factorization of 260 is 2 x 2 x 5 x 13

Prime Factorization of 318 is 2 x 3 x 53

Prime Factorization of 916 is 2 x 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(457, 260) = 118820

GCD(457, 260) = ( 457 x 260 ) / 118820

GCD(457, 260) = 118820 / 118820

GCD(457, 260) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 318

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

LCM(1, 318) = 318

GCD(1, 318) = ( 1 x 318 ) / 318

GCD(1, 318) = 318 / 318

GCD(1, 318) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 916

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

LCM(1, 916) = 916

GCD(1, 916) = ( 1 x 916 ) / 916

GCD(1, 916) = 916 / 916

GCD(1, 916) = 1

GCD of 457, 260, 318, 916 is 1

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1. What is the GCD of 457, 260, 318, 916?

GCD of 457, 260, 318, 916 is 1

2. Where do I get the detailed procedure to find GCD of 457, 260, 318, 916?

You can find a detailed procedure to find GCD of 457, 260, 318, 916 on our page.

3. How to find GCD of 457, 260, 318, 916 on a calculator?

You can find the GCD of 457, 260, 318, 916 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.