GCD of 340, 694, 912, 614 Calculator

Given Input numbers are 340, 694, 912, 614

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

Divisors of 340

List of positive integer divisors of 340 that divides 340 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Divisors of 694

List of positive integer divisors of 694 that divides 694 without a remainder.

1, 2, 347, 694

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 614

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

1, 2, 307, 614

Greatest Common Divisior

We found the divisors of 340, 694, 912, 614 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 340, 694, 912, 614 is 2.

Therefore, GCD of numbers 340, 694, 912, 614 is 2

Given Input Data is 340, 694, 912, 614

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

Prime Factorization of 340 is 2 x 2 x 5 x 17

Prime Factorization of 694 is 2 x 347

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

Prime Factorization of 614 is 2 x 307

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(340, 694) = 117980

GCD(340, 694) = ( 340 x 694 ) / 117980

GCD(340, 694) = 235960 / 117980

GCD(340, 694) = 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 614

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

LCM(2, 614) = 614

GCD(2, 614) = ( 2 x 614 ) / 614

GCD(2, 614) = 1228 / 614

GCD(2, 614) = 2

GCD of 340, 694, 912, 614 is 2

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1. What is the GCD of 340, 694, 912, 614?

GCD of 340, 694, 912, 614 is 2

2. Where do I get the detailed procedure to find GCD of 340, 694, 912, 614?

You can find a detailed procedure to find GCD of 340, 694, 912, 614 on our page.

3. How to find GCD of 340, 694, 912, 614 on a calculator?

You can find the GCD of 340, 694, 912, 614 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.