GCD of 400, 562, 910, 901 Calculator

Given Input numbers are 400, 562, 910, 901

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

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

Divisors of 562

List of positive integer divisors of 562 that divides 562 without a remainder.

1, 2, 281, 562

Divisors of 910

List of positive integer divisors of 910 that divides 910 without a remainder.

1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

Divisors of 901

List of positive integer divisors of 901 that divides 901 without a remainder.

1, 17, 53, 901

Greatest Common Divisior

We found the divisors of 400, 562, 910, 901 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 400, 562, 910, 901 is 1.

Therefore, GCD of numbers 400, 562, 910, 901 is 1

Given Input Data is 400, 562, 910, 901

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

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

Prime Factorization of 562 is 2 x 281

Prime Factorization of 910 is 2 x 5 x 7 x 13

Prime Factorization of 901 is 17 x 53

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(400, 562) = 112400

GCD(400, 562) = ( 400 x 562 ) / 112400

GCD(400, 562) = 224800 / 112400

GCD(400, 562) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 910

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

LCM(2, 910) = 910

GCD(2, 910) = ( 2 x 910 ) / 910

GCD(2, 910) = 1820 / 910

GCD(2, 910) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 901

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

LCM(2, 901) = 1802

GCD(2, 901) = ( 2 x 901 ) / 1802

GCD(2, 901) = 1802 / 1802

GCD(2, 901) = 1

GCD of 400, 562, 910, 901 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 728, 815, 157, 928
• GCD of 252, 533, 977, 153
• GCD of 127, 275, 431, 715
• GCD of 942, 639, 354, 196
• GCD of 875, 181, 248, 413

1. What is the GCD of 400, 562, 910, 901?

GCD of 400, 562, 910, 901 is 1

2. Where do I get the detailed procedure to find GCD of 400, 562, 910, 901?

You can find a detailed procedure to find GCD of 400, 562, 910, 901 on our page.

3. How to find GCD of 400, 562, 910, 901 on a calculator?

You can find the GCD of 400, 562, 910, 901 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.