GCD of 614, 818, 824, 162 Calculator

Given Input numbers are 614, 818, 824, 162

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 818

List of positive integer divisors of 818 that divides 818 without a remainder.

1, 2, 409, 818

Divisors of 824

List of positive integer divisors of 824 that divides 824 without a remainder.

1, 2, 4, 8, 103, 206, 412, 824

Divisors of 162

List of positive integer divisors of 162 that divides 162 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162

Greatest Common Divisior

We found the divisors of 614, 818, 824, 162 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 614, 818, 824, 162 is 2.

Therefore, GCD of numbers 614, 818, 824, 162 is 2

Given Input Data is 614, 818, 824, 162

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

Prime Factorization of 614 is 2 x 307

Prime Factorization of 818 is 2 x 409

Prime Factorization of 824 is 2 x 2 x 2 x 103

Prime Factorization of 162 is 2 x 3 x 3 x 3 x 3

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, 818) = 251126

GCD(614, 818) = ( 614 x 818 ) / 251126

GCD(614, 818) = 502252 / 251126

GCD(614, 818) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 824

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

LCM(2, 824) = 824

GCD(2, 824) = ( 2 x 824 ) / 824

GCD(2, 824) = 1648 / 824

GCD(2, 824) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 162

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

LCM(2, 162) = 162

GCD(2, 162) = ( 2 x 162 ) / 162

GCD(2, 162) = 324 / 162

GCD(2, 162) = 2

GCD of 614, 818, 824, 162 is 2

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1. What is the GCD of 614, 818, 824, 162?

GCD of 614, 818, 824, 162 is 2

2. Where do I get the detailed procedure to find GCD of 614, 818, 824, 162?

You can find a detailed procedure to find GCD of 614, 818, 824, 162 on our page.

3. How to find GCD of 614, 818, 824, 162 on a calculator?

You can find the GCD of 614, 818, 824, 162 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.