GCD of 214, 900, 56, 169 Calculator

Given Input numbers are 214, 900, 56, 169

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

Divisors of 214

List of positive integer divisors of 214 that divides 214 without a remainder.

1, 2, 107, 214

Divisors of 900

List of positive integer divisors of 900 that divides 900 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

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 169

List of positive integer divisors of 169 that divides 169 without a remainder.

1, 13, 169

Greatest Common Divisior

We found the divisors of 214, 900, 56, 169 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 214, 900, 56, 169 is 1.

Therefore, GCD of numbers 214, 900, 56, 169 is 1

Given Input Data is 214, 900, 56, 169

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

Prime Factorization of 214 is 2 x 107

Prime Factorization of 900 is 2 x 2 x 3 x 3 x 5 x 5

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

Prime Factorization of 169 is 13 x 13

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(214, 900) = 96300

GCD(214, 900) = ( 214 x 900 ) / 96300

GCD(214, 900) = 192600 / 96300

GCD(214, 900) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 56

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

LCM(2, 56) = 56

GCD(2, 56) = ( 2 x 56 ) / 56

GCD(2, 56) = 112 / 56

GCD(2, 56) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 169

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

LCM(2, 169) = 338

GCD(2, 169) = ( 2 x 169 ) / 338

GCD(2, 169) = 338 / 338

GCD(2, 169) = 1

GCD of 214, 900, 56, 169 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 408, 752, 42, 629
• GCD of 676, 273, 88, 665
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• GCD of 116, 176, 93, 834
• GCD of 560, 561, 16, 627

1. What is the GCD of 214, 900, 56, 169?

GCD of 214, 900, 56, 169 is 1

2. Where do I get the detailed procedure to find GCD of 214, 900, 56, 169?

You can find a detailed procedure to find GCD of 214, 900, 56, 169 on our page.

3. How to find GCD of 214, 900, 56, 169 on a calculator?

You can find the GCD of 214, 900, 56, 169 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.