GCD of 686, 432, 579, 207 Calculator

Given Input numbers are 686, 432, 579, 207

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

Divisors of 686

List of positive integer divisors of 686 that divides 686 without a remainder.

1, 2, 7, 14, 49, 98, 343, 686

Divisors of 432

List of positive integer divisors of 432 that divides 432 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

Divisors of 579

List of positive integer divisors of 579 that divides 579 without a remainder.

1, 3, 193, 579

Divisors of 207

List of positive integer divisors of 207 that divides 207 without a remainder.

1, 3, 9, 23, 69, 207

Greatest Common Divisior

We found the divisors of 686, 432, 579, 207 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 686, 432, 579, 207 is 1.

Therefore, GCD of numbers 686, 432, 579, 207 is 1

Given Input Data is 686, 432, 579, 207

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

Prime Factorization of 686 is 2 x 7 x 7 x 7

Prime Factorization of 432 is 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 579 is 3 x 193

Prime Factorization of 207 is 3 x 3 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(686, 432) = 148176

GCD(686, 432) = ( 686 x 432 ) / 148176

GCD(686, 432) = 296352 / 148176

GCD(686, 432) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 579

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

LCM(2, 579) = 1158

GCD(2, 579) = ( 2 x 579 ) / 1158

GCD(2, 579) = 1158 / 1158

GCD(2, 579) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 207

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

LCM(1, 207) = 207

GCD(1, 207) = ( 1 x 207 ) / 207

GCD(1, 207) = 207 / 207

GCD(1, 207) = 1

GCD of 686, 432, 579, 207 is 1

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1. What is the GCD of 686, 432, 579, 207?

GCD of 686, 432, 579, 207 is 1

2. Where do I get the detailed procedure to find GCD of 686, 432, 579, 207?

You can find a detailed procedure to find GCD of 686, 432, 579, 207 on our page.

3. How to find GCD of 686, 432, 579, 207 on a calculator?

You can find the GCD of 686, 432, 579, 207 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.