GCD of 958, 313, 460, 657 Calculator

Given Input numbers are 958, 313, 460, 657

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

Divisors of 958

List of positive integer divisors of 958 that divides 958 without a remainder.

1, 2, 479, 958

Divisors of 313

List of positive integer divisors of 313 that divides 313 without a remainder.

1, 313

Divisors of 460

List of positive integer divisors of 460 that divides 460 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 657

List of positive integer divisors of 657 that divides 657 without a remainder.

1, 3, 9, 73, 219, 657

Greatest Common Divisior

We found the divisors of 958, 313, 460, 657 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 958, 313, 460, 657 is 1.

Therefore, GCD of numbers 958, 313, 460, 657 is 1

Given Input Data is 958, 313, 460, 657

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

Prime Factorization of 958 is 2 x 479

Prime Factorization of 313 is 313

Prime Factorization of 460 is 2 x 2 x 5 x 23

Prime Factorization of 657 is 3 x 3 x 73

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(958, 313) = 299854

GCD(958, 313) = ( 958 x 313 ) / 299854

GCD(958, 313) = 299854 / 299854

GCD(958, 313) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 460

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

LCM(1, 460) = 460

GCD(1, 460) = ( 1 x 460 ) / 460

GCD(1, 460) = 460 / 460

GCD(1, 460) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 657

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

LCM(1, 657) = 657

GCD(1, 657) = ( 1 x 657 ) / 657

GCD(1, 657) = 657 / 657

GCD(1, 657) = 1

GCD of 958, 313, 460, 657 is 1

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1. What is the GCD of 958, 313, 460, 657?

GCD of 958, 313, 460, 657 is 1

2. Where do I get the detailed procedure to find GCD of 958, 313, 460, 657?

You can find a detailed procedure to find GCD of 958, 313, 460, 657 on our page.

3. How to find GCD of 958, 313, 460, 657 on a calculator?

You can find the GCD of 958, 313, 460, 657 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.