GCD of 684, 705, 839, 121 Calculator

Given Input numbers are 684, 705, 839, 121

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

Divisors of 684

List of positive integer divisors of 684 that divides 684 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

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 839

List of positive integer divisors of 839 that divides 839 without a remainder.

1, 839

Divisors of 121

List of positive integer divisors of 121 that divides 121 without a remainder.

1, 11, 121

Greatest Common Divisior

We found the divisors of 684, 705, 839, 121 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 684, 705, 839, 121 is 1.

Therefore, GCD of numbers 684, 705, 839, 121 is 1

Given Input Data is 684, 705, 839, 121

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

Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19

Prime Factorization of 705 is 3 x 5 x 47

Prime Factorization of 839 is 839

Prime Factorization of 121 is 11 x 11

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(684, 705) = 160740

GCD(684, 705) = ( 684 x 705 ) / 160740

GCD(684, 705) = 482220 / 160740

GCD(684, 705) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 839

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

LCM(3, 839) = 2517

GCD(3, 839) = ( 3 x 839 ) / 2517

GCD(3, 839) = 2517 / 2517

GCD(3, 839) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 121

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

LCM(1, 121) = 121

GCD(1, 121) = ( 1 x 121 ) / 121

GCD(1, 121) = 121 / 121

GCD(1, 121) = 1

GCD of 684, 705, 839, 121 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 718, 812, 319, 955
• GCD of 530, 250, 247, 654
• GCD of 731, 839, 974, 428
• GCD of 159, 774, 314, 628
• GCD of 695, 816, 418, 532

1. What is the GCD of 684, 705, 839, 121?

GCD of 684, 705, 839, 121 is 1

2. Where do I get the detailed procedure to find GCD of 684, 705, 839, 121?

You can find a detailed procedure to find GCD of 684, 705, 839, 121 on our page.

3. How to find GCD of 684, 705, 839, 121 on a calculator?

You can find the GCD of 684, 705, 839, 121 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.