GCD of 214, 184, 533, 689 Calculator

Given Input numbers are 214, 184, 533, 689

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 184

List of positive integer divisors of 184 that divides 184 without a remainder.

1, 2, 4, 8, 23, 46, 92, 184

Divisors of 533

List of positive integer divisors of 533 that divides 533 without a remainder.

1, 13, 41, 533

Divisors of 689

List of positive integer divisors of 689 that divides 689 without a remainder.

1, 13, 53, 689

Greatest Common Divisior

We found the divisors of 214, 184, 533, 689 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 214, 184, 533, 689 is 1.

Therefore, GCD of numbers 214, 184, 533, 689 is 1

Given Input Data is 214, 184, 533, 689

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

Prime Factorization of 214 is 2 x 107

Prime Factorization of 184 is 2 x 2 x 2 x 23

Prime Factorization of 533 is 13 x 41

Prime Factorization of 689 is 13 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(214, 184) = 19688

GCD(214, 184) = ( 214 x 184 ) / 19688

GCD(214, 184) = 39376 / 19688

GCD(214, 184) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 533

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

LCM(2, 533) = 1066

GCD(2, 533) = ( 2 x 533 ) / 1066

GCD(2, 533) = 1066 / 1066

GCD(2, 533) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 689

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

LCM(1, 689) = 689

GCD(1, 689) = ( 1 x 689 ) / 689

GCD(1, 689) = 689 / 689

GCD(1, 689) = 1

GCD of 214, 184, 533, 689 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 399, 312, 165, 909
• GCD of 662, 818, 248, 814
• GCD of 230, 567, 541, 507
• GCD of 307, 467, 290, 737
• GCD of 502, 602, 444, 532

1. What is the GCD of 214, 184, 533, 689?

GCD of 214, 184, 533, 689 is 1

2. Where do I get the detailed procedure to find GCD of 214, 184, 533, 689?

You can find a detailed procedure to find GCD of 214, 184, 533, 689 on our page.

3. How to find GCD of 214, 184, 533, 689 on a calculator?

You can find the GCD of 214, 184, 533, 689 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.