GCD of 406, 712, 686, 860 Calculator

Given Input numbers are 406, 712, 686, 860

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

Divisors of 406

List of positive integer divisors of 406 that divides 406 without a remainder.

1, 2, 7, 14, 29, 58, 203, 406

Divisors of 712

List of positive integer divisors of 712 that divides 712 without a remainder.

1, 2, 4, 8, 89, 178, 356, 712

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 860

List of positive integer divisors of 860 that divides 860 without a remainder.

1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860

Greatest Common Divisior

We found the divisors of 406, 712, 686, 860 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 406, 712, 686, 860 is 2.

Therefore, GCD of numbers 406, 712, 686, 860 is 2

Given Input Data is 406, 712, 686, 860

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

Prime Factorization of 406 is 2 x 7 x 29

Prime Factorization of 712 is 2 x 2 x 2 x 89

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

Prime Factorization of 860 is 2 x 2 x 5 x 43

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(406, 712) = 144536

GCD(406, 712) = ( 406 x 712 ) / 144536

GCD(406, 712) = 289072 / 144536

GCD(406, 712) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 686

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

LCM(2, 686) = 686

GCD(2, 686) = ( 2 x 686 ) / 686

GCD(2, 686) = 1372 / 686

GCD(2, 686) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 860

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

LCM(2, 860) = 860

GCD(2, 860) = ( 2 x 860 ) / 860

GCD(2, 860) = 1720 / 860

GCD(2, 860) = 2

GCD of 406, 712, 686, 860 is 2

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1. What is the GCD of 406, 712, 686, 860?

GCD of 406, 712, 686, 860 is 2

2. Where do I get the detailed procedure to find GCD of 406, 712, 686, 860?

You can find a detailed procedure to find GCD of 406, 712, 686, 860 on our page.

3. How to find GCD of 406, 712, 686, 860 on a calculator?

You can find the GCD of 406, 712, 686, 860 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.