GCD of 705, 214, 399, 437 Calculator

Given Input numbers are 705, 214, 399, 437

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

Divisors of 705

List of positive integer divisors of 705 that divides 705 without a remainder.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 214

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

1, 2, 107, 214

Divisors of 399

List of positive integer divisors of 399 that divides 399 without a remainder.

1, 3, 7, 19, 21, 57, 133, 399

Divisors of 437

List of positive integer divisors of 437 that divides 437 without a remainder.

1, 19, 23, 437

Greatest Common Divisior

We found the divisors of 705, 214, 399, 437 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 705, 214, 399, 437 is 1.

Therefore, GCD of numbers 705, 214, 399, 437 is 1

Given Input Data is 705, 214, 399, 437

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

Prime Factorization of 705 is 3 x 5 x 47

Prime Factorization of 214 is 2 x 107

Prime Factorization of 399 is 3 x 7 x 19

Prime Factorization of 437 is 19 x 23

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(705, 214) = 150870

GCD(705, 214) = ( 705 x 214 ) / 150870

GCD(705, 214) = 150870 / 150870

GCD(705, 214) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 399

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

LCM(1, 399) = 399

GCD(1, 399) = ( 1 x 399 ) / 399

GCD(1, 399) = 399 / 399

GCD(1, 399) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 437

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

LCM(1, 437) = 437

GCD(1, 437) = ( 1 x 437 ) / 437

GCD(1, 437) = 437 / 437

GCD(1, 437) = 1

GCD of 705, 214, 399, 437 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 291, 399, 619, 173
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• GCD of 476, 349, 237, 871
• GCD of 678, 433, 970, 932
• GCD of 970, 759, 276, 268

1. What is the GCD of 705, 214, 399, 437?

GCD of 705, 214, 399, 437 is 1

2. Where do I get the detailed procedure to find GCD of 705, 214, 399, 437?

You can find a detailed procedure to find GCD of 705, 214, 399, 437 on our page.

3. How to find GCD of 705, 214, 399, 437 on a calculator?

You can find the GCD of 705, 214, 399, 437 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.