GCD of 464, 803, 58, 457 Calculator

Given Input numbers are 464, 803, 58, 457

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

Divisors of 464

List of positive integer divisors of 464 that divides 464 without a remainder.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Divisors of 803

List of positive integer divisors of 803 that divides 803 without a remainder.

1, 11, 73, 803

Divisors of 58

List of positive integer divisors of 58 that divides 58 without a remainder.

1, 2, 29, 58

Divisors of 457

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

1, 457

Greatest Common Divisior

We found the divisors of 464, 803, 58, 457 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 464, 803, 58, 457 is 1.

Therefore, GCD of numbers 464, 803, 58, 457 is 1

Given Input Data is 464, 803, 58, 457

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

Prime Factorization of 464 is 2 x 2 x 2 x 2 x 29

Prime Factorization of 803 is 11 x 73

Prime Factorization of 58 is 2 x 29

Prime Factorization of 457 is 457

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(464, 803) = 372592

GCD(464, 803) = ( 464 x 803 ) / 372592

GCD(464, 803) = 372592 / 372592

GCD(464, 803) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 58

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

LCM(1, 58) = 58

GCD(1, 58) = ( 1 x 58 ) / 58

GCD(1, 58) = 58 / 58

GCD(1, 58) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 457

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

LCM(1, 457) = 457

GCD(1, 457) = ( 1 x 457 ) / 457

GCD(1, 457) = 457 / 457

GCD(1, 457) = 1

GCD of 464, 803, 58, 457 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 949, 384, 52, 842
• GCD of 526, 493, 53, 603
• GCD of 461, 774, 77, 907
• GCD of 539, 970, 88, 441
• GCD of 163, 198, 78, 319

1. What is the GCD of 464, 803, 58, 457?

GCD of 464, 803, 58, 457 is 1

2. Where do I get the detailed procedure to find GCD of 464, 803, 58, 457?

You can find a detailed procedure to find GCD of 464, 803, 58, 457 on our page.

3. How to find GCD of 464, 803, 58, 457 on a calculator?

You can find the GCD of 464, 803, 58, 457 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.