GCD of 401, 278, 50, 956 Calculator

Given Input numbers are 401, 278, 50, 956

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

Divisors of 401

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

1, 401

Divisors of 278

List of positive integer divisors of 278 that divides 278 without a remainder.

1, 2, 139, 278

Divisors of 50

List of positive integer divisors of 50 that divides 50 without a remainder.

1, 2, 5, 10, 25, 50

Divisors of 956

List of positive integer divisors of 956 that divides 956 without a remainder.

1, 2, 4, 239, 478, 956

Greatest Common Divisior

We found the divisors of 401, 278, 50, 956 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 401, 278, 50, 956 is 1.

Therefore, GCD of numbers 401, 278, 50, 956 is 1

Given Input Data is 401, 278, 50, 956

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

Prime Factorization of 401 is 401

Prime Factorization of 278 is 2 x 139

Prime Factorization of 50 is 2 x 5 x 5

Prime Factorization of 956 is 2 x 2 x 239

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(401, 278) = 111478

GCD(401, 278) = ( 401 x 278 ) / 111478

GCD(401, 278) = 111478 / 111478

GCD(401, 278) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 50

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

LCM(1, 50) = 50

GCD(1, 50) = ( 1 x 50 ) / 50

GCD(1, 50) = 50 / 50

GCD(1, 50) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 956

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

LCM(1, 956) = 956

GCD(1, 956) = ( 1 x 956 ) / 956

GCD(1, 956) = 956 / 956

GCD(1, 956) = 1

GCD of 401, 278, 50, 956 is 1

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1. What is the GCD of 401, 278, 50, 956?

GCD of 401, 278, 50, 956 is 1

2. Where do I get the detailed procedure to find GCD of 401, 278, 50, 956?

You can find a detailed procedure to find GCD of 401, 278, 50, 956 on our page.

3. How to find GCD of 401, 278, 50, 956 on a calculator?

You can find the GCD of 401, 278, 50, 956 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.