GCD of 614, 642, 912, 686 Calculator

Given Input numbers are 614, 642, 912, 686

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

Divisors of 614

List of positive integer divisors of 614 that divides 614 without a remainder.

1, 2, 307, 614

Divisors of 642

List of positive integer divisors of 642 that divides 642 without a remainder.

1, 2, 3, 6, 107, 214, 321, 642

Divisors of 912

List of positive integer divisors of 912 that divides 912 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

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 614, 642, 912, 686 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 614, 642, 912, 686 is 2.

Therefore, GCD of numbers 614, 642, 912, 686 is 2

Given Input Data is 614, 642, 912, 686

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

Prime Factorization of 614 is 2 x 307

Prime Factorization of 642 is 2 x 3 x 107

Prime Factorization of 912 is 2 x 2 x 2 x 2 x 3 x 19

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(614, 642) = 197094

GCD(614, 642) = ( 614 x 642 ) / 197094

GCD(614, 642) = 394188 / 197094

GCD(614, 642) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 912

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

LCM(2, 912) = 912

GCD(2, 912) = ( 2 x 912 ) / 912

GCD(2, 912) = 1824 / 912

GCD(2, 912) = 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 614, 642, 912, 686 is 2

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1. What is the GCD of 614, 642, 912, 686?

GCD of 614, 642, 912, 686 is 2

2. Where do I get the detailed procedure to find GCD of 614, 642, 912, 686?

You can find a detailed procedure to find GCD of 614, 642, 912, 686 on our page.

3. How to find GCD of 614, 642, 912, 686 on a calculator?

You can find the GCD of 614, 642, 912, 686 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.