GCD of 718, 610, 38, 822 Calculator

Given Input numbers are 718, 610, 38, 822

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

Divisors of 718

List of positive integer divisors of 718 that divides 718 without a remainder.

1, 2, 359, 718

Divisors of 610

List of positive integer divisors of 610 that divides 610 without a remainder.

1, 2, 5, 10, 61, 122, 305, 610

Divisors of 38

List of positive integer divisors of 38 that divides 38 without a remainder.

1, 2, 19, 38

Divisors of 822

List of positive integer divisors of 822 that divides 822 without a remainder.

1, 2, 3, 6, 137, 274, 411, 822

Greatest Common Divisior

We found the divisors of 718, 610, 38, 822 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 718, 610, 38, 822 is 2.

Therefore, GCD of numbers 718, 610, 38, 822 is 2

Given Input Data is 718, 610, 38, 822

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

Prime Factorization of 718 is 2 x 359

Prime Factorization of 610 is 2 x 5 x 61

Prime Factorization of 38 is 2 x 19

Prime Factorization of 822 is 2 x 3 x 137

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(718, 610) = 218990

GCD(718, 610) = ( 718 x 610 ) / 218990

GCD(718, 610) = 437980 / 218990

GCD(718, 610) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 38

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

LCM(2, 38) = 38

GCD(2, 38) = ( 2 x 38 ) / 38

GCD(2, 38) = 76 / 38

GCD(2, 38) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 822

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

LCM(2, 822) = 822

GCD(2, 822) = ( 2 x 822 ) / 822

GCD(2, 822) = 1644 / 822

GCD(2, 822) = 2

GCD of 718, 610, 38, 822 is 2

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1. What is the GCD of 718, 610, 38, 822?

GCD of 718, 610, 38, 822 is 2

2. Where do I get the detailed procedure to find GCD of 718, 610, 38, 822?

You can find a detailed procedure to find GCD of 718, 610, 38, 822 on our page.

3. How to find GCD of 718, 610, 38, 822 on a calculator?

You can find the GCD of 718, 610, 38, 822 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.