GCD of 421, 940, 47, 400 Calculator

Given Input numbers are 421, 940, 47, 400

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

Divisors of 421

List of positive integer divisors of 421 that divides 421 without a remainder.

1, 421

Divisors of 940

List of positive integer divisors of 940 that divides 940 without a remainder.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

Divisors of 47

List of positive integer divisors of 47 that divides 47 without a remainder.

1, 47

Divisors of 400

List of positive integer divisors of 400 that divides 400 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Greatest Common Divisior

We found the divisors of 421, 940, 47, 400 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 421, 940, 47, 400 is 1.

Therefore, GCD of numbers 421, 940, 47, 400 is 1

Given Input Data is 421, 940, 47, 400

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

Prime Factorization of 421 is 421

Prime Factorization of 940 is 2 x 2 x 5 x 47

Prime Factorization of 47 is 47

Prime Factorization of 400 is 2 x 2 x 2 x 2 x 5 x 5

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(421, 940) = 395740

GCD(421, 940) = ( 421 x 940 ) / 395740

GCD(421, 940) = 395740 / 395740

GCD(421, 940) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 47

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

LCM(1, 47) = 47

GCD(1, 47) = ( 1 x 47 ) / 47

GCD(1, 47) = 47 / 47

GCD(1, 47) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 400

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

LCM(1, 400) = 400

GCD(1, 400) = ( 1 x 400 ) / 400

GCD(1, 400) = 400 / 400

GCD(1, 400) = 1

GCD of 421, 940, 47, 400 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 808, 133, 73, 241
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• GCD of 435, 291, 30, 456
• GCD of 834, 390, 35, 861
• GCD of 274, 253, 53, 751

1. What is the GCD of 421, 940, 47, 400?

GCD of 421, 940, 47, 400 is 1

2. Where do I get the detailed procedure to find GCD of 421, 940, 47, 400?

You can find a detailed procedure to find GCD of 421, 940, 47, 400 on our page.

3. How to find GCD of 421, 940, 47, 400 on a calculator?

You can find the GCD of 421, 940, 47, 400 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.