GCD of 42, 401, 280, 457 Calculator

Given Input numbers are 42, 401, 280, 457

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

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 401

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

1, 401

Divisors of 280

List of positive integer divisors of 280 that divides 280 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

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 42, 401, 280, 457 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 42, 401, 280, 457 is 1.

Therefore, GCD of numbers 42, 401, 280, 457 is 1

Given Input Data is 42, 401, 280, 457

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

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 401 is 401

Prime Factorization of 280 is 2 x 2 x 2 x 5 x 7

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(42, 401) = 16842

GCD(42, 401) = ( 42 x 401 ) / 16842

GCD(42, 401) = 16842 / 16842

GCD(42, 401) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 280

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

LCM(1, 280) = 280

GCD(1, 280) = ( 1 x 280 ) / 280

GCD(1, 280) = 280 / 280

GCD(1, 280) = 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 42, 401, 280, 457 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 29, 108, 147, 471
• GCD of 50, 304, 665, 677
• GCD of 64, 478, 652, 408
• GCD of 22, 657, 483, 516
• GCD of 84, 790, 290, 124

1. What is the GCD of 42, 401, 280, 457?

GCD of 42, 401, 280, 457 is 1

2. Where do I get the detailed procedure to find GCD of 42, 401, 280, 457?

You can find a detailed procedure to find GCD of 42, 401, 280, 457 on our page.

3. How to find GCD of 42, 401, 280, 457 on a calculator?

You can find the GCD of 42, 401, 280, 457 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.