GCD of 618, 712, 614, 172 Calculator

Given Input numbers are 618, 712, 614, 172

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

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 712

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

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

Divisors of 614

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

1, 2, 307, 614

Divisors of 172

List of positive integer divisors of 172 that divides 172 without a remainder.

1, 2, 4, 43, 86, 172

Greatest Common Divisior

We found the divisors of 618, 712, 614, 172 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 618, 712, 614, 172 is 2.

Therefore, GCD of numbers 618, 712, 614, 172 is 2

Given Input Data is 618, 712, 614, 172

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

Prime Factorization of 618 is 2 x 3 x 103

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

Prime Factorization of 614 is 2 x 307

Prime Factorization of 172 is 2 x 2 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(618, 712) = 220008

GCD(618, 712) = ( 618 x 712 ) / 220008

GCD(618, 712) = 440016 / 220008

GCD(618, 712) = 2

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 172

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

LCM(2, 172) = 172

GCD(2, 172) = ( 2 x 172 ) / 172

GCD(2, 172) = 344 / 172

GCD(2, 172) = 2

GCD of 618, 712, 614, 172 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 409, 760, 112, 110
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• GCD of 309, 368, 325, 546

1. What is the GCD of 618, 712, 614, 172?

GCD of 618, 712, 614, 172 is 2

2. Where do I get the detailed procedure to find GCD of 618, 712, 614, 172?

You can find a detailed procedure to find GCD of 618, 712, 614, 172 on our page.

3. How to find GCD of 618, 712, 614, 172 on a calculator?

You can find the GCD of 618, 712, 614, 172 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.