GCD of 424, 456, 357, 401 Calculator

Given Input numbers are 424, 456, 357, 401

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

Divisors of 424

List of positive integer divisors of 424 that divides 424 without a remainder.

1, 2, 4, 8, 53, 106, 212, 424

Divisors of 456

List of positive integer divisors of 456 that divides 456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 357

List of positive integer divisors of 357 that divides 357 without a remainder.

1, 3, 7, 17, 21, 51, 119, 357

Divisors of 401

List of positive integer divisors of 401 that divides 401 without a remainder.

1, 401

Greatest Common Divisior

We found the divisors of 424, 456, 357, 401 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 424, 456, 357, 401 is 1.

Therefore, GCD of numbers 424, 456, 357, 401 is 1

Given Input Data is 424, 456, 357, 401

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

Prime Factorization of 424 is 2 x 2 x 2 x 53

Prime Factorization of 456 is 2 x 2 x 2 x 3 x 19

Prime Factorization of 357 is 3 x 7 x 17

Prime Factorization of 401 is 401

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(424, 456) = 24168

GCD(424, 456) = ( 424 x 456 ) / 24168

GCD(424, 456) = 193344 / 24168

GCD(424, 456) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 357

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

LCM(8, 357) = 2856

GCD(8, 357) = ( 8 x 357 ) / 2856

GCD(8, 357) = 2856 / 2856

GCD(8, 357) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 401

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

LCM(1, 401) = 401

GCD(1, 401) = ( 1 x 401 ) / 401

GCD(1, 401) = 401 / 401

GCD(1, 401) = 1

GCD of 424, 456, 357, 401 is 1

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1. What is the GCD of 424, 456, 357, 401?

GCD of 424, 456, 357, 401 is 1

2. Where do I get the detailed procedure to find GCD of 424, 456, 357, 401?

You can find a detailed procedure to find GCD of 424, 456, 357, 401 on our page.

3. How to find GCD of 424, 456, 357, 401 on a calculator?

You can find the GCD of 424, 456, 357, 401 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.