GCD of 708, 669, 414, 841 Calculator

Given Input numbers are 708, 669, 414, 841

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

Divisors of 708

List of positive integer divisors of 708 that divides 708 without a remainder.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 669

List of positive integer divisors of 669 that divides 669 without a remainder.

1, 3, 223, 669

Divisors of 414

List of positive integer divisors of 414 that divides 414 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Divisors of 841

List of positive integer divisors of 841 that divides 841 without a remainder.

1, 29, 841

Greatest Common Divisior

We found the divisors of 708, 669, 414, 841 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 708, 669, 414, 841 is 1.

Therefore, GCD of numbers 708, 669, 414, 841 is 1

Given Input Data is 708, 669, 414, 841

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

Prime Factorization of 708 is 2 x 2 x 3 x 59

Prime Factorization of 669 is 3 x 223

Prime Factorization of 414 is 2 x 3 x 3 x 23

Prime Factorization of 841 is 29 x 29

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(708, 669) = 157884

GCD(708, 669) = ( 708 x 669 ) / 157884

GCD(708, 669) = 473652 / 157884

GCD(708, 669) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 414

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

LCM(3, 414) = 414

GCD(3, 414) = ( 3 x 414 ) / 414

GCD(3, 414) = 1242 / 414

GCD(3, 414) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 841

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

LCM(3, 841) = 2523

GCD(3, 841) = ( 3 x 841 ) / 2523

GCD(3, 841) = 2523 / 2523

GCD(3, 841) = 1

GCD of 708, 669, 414, 841 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 372, 506, 487, 154
• GCD of 814, 610, 474, 682
• GCD of 355, 750, 623, 229
• GCD of 733, 279, 131, 608
• GCD of 518, 485, 903, 624

1. What is the GCD of 708, 669, 414, 841?

GCD of 708, 669, 414, 841 is 1

2. Where do I get the detailed procedure to find GCD of 708, 669, 414, 841?

You can find a detailed procedure to find GCD of 708, 669, 414, 841 on our page.

3. How to find GCD of 708, 669, 414, 841 on a calculator?

You can find the GCD of 708, 669, 414, 841 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.