GCD of 213, 800, 56, 105 Calculator

Given Input numbers are 213, 800, 56, 105

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

Divisors of 213

List of positive integer divisors of 213 that divides 213 without a remainder.

1, 3, 71, 213

Divisors of 800

List of positive integer divisors of 800 that divides 800 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 56

List of positive integer divisors of 56 that divides 56 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56

Divisors of 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

Greatest Common Divisior

We found the divisors of 213, 800, 56, 105 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 213, 800, 56, 105 is 1.

Therefore, GCD of numbers 213, 800, 56, 105 is 1

Given Input Data is 213, 800, 56, 105

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

Prime Factorization of 213 is 3 x 71

Prime Factorization of 800 is 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 56 is 2 x 2 x 2 x 7

Prime Factorization of 105 is 3 x 5 x 7

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(213, 800) = 170400

GCD(213, 800) = ( 213 x 800 ) / 170400

GCD(213, 800) = 170400 / 170400

GCD(213, 800) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 56

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

LCM(1, 56) = 56

GCD(1, 56) = ( 1 x 56 ) / 56

GCD(1, 56) = 56 / 56

GCD(1, 56) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 105

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

LCM(1, 105) = 105

GCD(1, 105) = ( 1 x 105 ) / 105

GCD(1, 105) = 105 / 105

GCD(1, 105) = 1

GCD of 213, 800, 56, 105 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 119, 369, 60, 362
• GCD of 700, 994, 93, 119
• GCD of 786, 282, 36, 778
• GCD of 184, 549, 98, 624
• GCD of 482, 336, 36, 145

1. What is the GCD of 213, 800, 56, 105?

GCD of 213, 800, 56, 105 is 1

2. Where do I get the detailed procedure to find GCD of 213, 800, 56, 105?

You can find a detailed procedure to find GCD of 213, 800, 56, 105 on our page.

3. How to find GCD of 213, 800, 56, 105 on a calculator?

You can find the GCD of 213, 800, 56, 105 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.