GCD of 684, 700, 398, 686 Calculator

Given Input numbers are 684, 700, 398, 686

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 700

List of positive integer divisors of 700 that divides 700 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Divisors of 398

List of positive integer divisors of 398 that divides 398 without a remainder.

1, 2, 199, 398

Divisors of 686

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

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

Greatest Common Divisior

We found the divisors of 684, 700, 398, 686 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 684, 700, 398, 686 is 2.

Therefore, GCD of numbers 684, 700, 398, 686 is 2

Given Input Data is 684, 700, 398, 686

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 700 is 2 x 2 x 5 x 5 x 7

Prime Factorization of 398 is 2 x 199

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

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(684, 700) = 119700

GCD(684, 700) = ( 684 x 700 ) / 119700

GCD(684, 700) = 478800 / 119700

GCD(684, 700) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 398

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

LCM(4, 398) = 796

GCD(4, 398) = ( 4 x 398 ) / 796

GCD(4, 398) = 1592 / 796

GCD(4, 398) = 2

Step3:

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

GCD of 684, 700, 398, 686 is 2

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1. What is the GCD of 684, 700, 398, 686?

GCD of 684, 700, 398, 686 is 2

2. Where do I get the detailed procedure to find GCD of 684, 700, 398, 686?

You can find a detailed procedure to find GCD of 684, 700, 398, 686 on our page.

3. How to find GCD of 684, 700, 398, 686 on a calculator?

You can find the GCD of 684, 700, 398, 686 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.