GCD of 253, 656, 42, 400 Calculator

Given Input numbers are 253, 656, 42, 400

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

Divisors of 253

List of positive integer divisors of 253 that divides 253 without a remainder.

1, 11, 23, 253

Divisors of 656

List of positive integer divisors of 656 that divides 656 without a remainder.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

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 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 253, 656, 42, 400 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 253, 656, 42, 400 is 1.

Therefore, GCD of numbers 253, 656, 42, 400 is 1

Given Input Data is 253, 656, 42, 400

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

Prime Factorization of 253 is 11 x 23

Prime Factorization of 656 is 2 x 2 x 2 x 2 x 41

Prime Factorization of 42 is 2 x 3 x 7

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(253, 656) = 165968

GCD(253, 656) = ( 253 x 656 ) / 165968

GCD(253, 656) = 165968 / 165968

GCD(253, 656) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 42

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

LCM(1, 42) = 42

GCD(1, 42) = ( 1 x 42 ) / 42

GCD(1, 42) = 42 / 42

GCD(1, 42) = 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 253, 656, 42, 400 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 927, 857, 87, 784
• GCD of 435, 589, 34, 554
• GCD of 399, 279, 11, 981
• GCD of 931, 221, 61, 806
• GCD of 961, 895, 77, 280

1. What is the GCD of 253, 656, 42, 400?

GCD of 253, 656, 42, 400 is 1

2. Where do I get the detailed procedure to find GCD of 253, 656, 42, 400?

You can find a detailed procedure to find GCD of 253, 656, 42, 400 on our page.

3. How to find GCD of 253, 656, 42, 400 on a calculator?

You can find the GCD of 253, 656, 42, 400 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.