GCD of 614, 618, 134, 314 Calculator

Given Input numbers are 614, 618, 134, 314

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 618

List of positive integer divisors of 618 that divides 618 without a remainder.

1, 2, 3, 6, 103, 206, 309, 618

Divisors of 134

List of positive integer divisors of 134 that divides 134 without a remainder.

1, 2, 67, 134

Divisors of 314

List of positive integer divisors of 314 that divides 314 without a remainder.

1, 2, 157, 314

Greatest Common Divisior

We found the divisors of 614, 618, 134, 314 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 614, 618, 134, 314 is 2.

Therefore, GCD of numbers 614, 618, 134, 314 is 2

Given Input Data is 614, 618, 134, 314

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

Prime Factorization of 614 is 2 x 307

Prime Factorization of 618 is 2 x 3 x 103

Prime Factorization of 134 is 2 x 67

Prime Factorization of 314 is 2 x 157

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, 618) = 189726

GCD(614, 618) = ( 614 x 618 ) / 189726

GCD(614, 618) = 379452 / 189726

GCD(614, 618) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 134

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

LCM(2, 134) = 134

GCD(2, 134) = ( 2 x 134 ) / 134

GCD(2, 134) = 268 / 134

GCD(2, 134) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 314

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

LCM(2, 314) = 314

GCD(2, 314) = ( 2 x 314 ) / 314

GCD(2, 314) = 628 / 314

GCD(2, 314) = 2

GCD of 614, 618, 134, 314 is 2

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1. What is the GCD of 614, 618, 134, 314?

GCD of 614, 618, 134, 314 is 2

2. Where do I get the detailed procedure to find GCD of 614, 618, 134, 314?

You can find a detailed procedure to find GCD of 614, 618, 134, 314 on our page.

3. How to find GCD of 614, 618, 134, 314 on a calculator?

You can find the GCD of 614, 618, 134, 314 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.