GCD of 457, 476, 264, 440 Calculator

Given Input numbers are 457, 476, 264, 440

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 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 264

List of positive integer divisors of 264 that divides 264 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Divisors of 440

List of positive integer divisors of 440 that divides 440 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

Greatest Common Divisior

We found the divisors of 457, 476, 264, 440 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 457, 476, 264, 440 is 1.

Therefore, GCD of numbers 457, 476, 264, 440 is 1

Given Input Data is 457, 476, 264, 440

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

Prime Factorization of 457 is 457

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

Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11

Prime Factorization of 440 is 2 x 2 x 2 x 5 x 11

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, 476) = 217532

GCD(457, 476) = ( 457 x 476 ) / 217532

GCD(457, 476) = 217532 / 217532

GCD(457, 476) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 264

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

LCM(1, 264) = 264

GCD(1, 264) = ( 1 x 264 ) / 264

GCD(1, 264) = 264 / 264

GCD(1, 264) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 440

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

LCM(1, 440) = 440

GCD(1, 440) = ( 1 x 440 ) / 440

GCD(1, 440) = 440 / 440

GCD(1, 440) = 1

GCD of 457, 476, 264, 440 is 1

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1. What is the GCD of 457, 476, 264, 440?

GCD of 457, 476, 264, 440 is 1

2. Where do I get the detailed procedure to find GCD of 457, 476, 264, 440?

You can find a detailed procedure to find GCD of 457, 476, 264, 440 on our page.

3. How to find GCD of 457, 476, 264, 440 on a calculator?

You can find the GCD of 457, 476, 264, 440 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.