GCD of 214, 369, 434, 973 Calculator

Given Input numbers are 214, 369, 434, 973

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 369

List of positive integer divisors of 369 that divides 369 without a remainder.

1, 3, 9, 41, 123, 369

Divisors of 434

List of positive integer divisors of 434 that divides 434 without a remainder.

1, 2, 7, 14, 31, 62, 217, 434

Divisors of 973

List of positive integer divisors of 973 that divides 973 without a remainder.

1, 7, 139, 973

Greatest Common Divisior

We found the divisors of 214, 369, 434, 973 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 214, 369, 434, 973 is 1.

Therefore, GCD of numbers 214, 369, 434, 973 is 1

Given Input Data is 214, 369, 434, 973

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

Prime Factorization of 214 is 2 x 107

Prime Factorization of 369 is 3 x 3 x 41

Prime Factorization of 434 is 2 x 7 x 31

Prime Factorization of 973 is 7 x 139

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, 369) = 78966

GCD(214, 369) = ( 214 x 369 ) / 78966

GCD(214, 369) = 78966 / 78966

GCD(214, 369) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 434

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

LCM(1, 434) = 434

GCD(1, 434) = ( 1 x 434 ) / 434

GCD(1, 434) = 434 / 434

GCD(1, 434) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 973

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

LCM(1, 973) = 973

GCD(1, 973) = ( 1 x 973 ) / 973

GCD(1, 973) = 973 / 973

GCD(1, 973) = 1

GCD of 214, 369, 434, 973 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 259, 776, 316, 826
• GCD of 411, 120, 250, 979
• GCD of 328, 732, 319, 231
• GCD of 703, 623, 966, 614
• GCD of 437, 701, 758, 964

1. What is the GCD of 214, 369, 434, 973?

GCD of 214, 369, 434, 973 is 1

2. Where do I get the detailed procedure to find GCD of 214, 369, 434, 973?

You can find a detailed procedure to find GCD of 214, 369, 434, 973 on our page.

3. How to find GCD of 214, 369, 434, 973 on a calculator?

You can find the GCD of 214, 369, 434, 973 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.