GCD of 146, 470, 820, 818 Calculator

Given Input numbers are 146, 470, 820, 818

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

Divisors of 146

List of positive integer divisors of 146 that divides 146 without a remainder.

1, 2, 73, 146

Divisors of 470

List of positive integer divisors of 470 that divides 470 without a remainder.

1, 2, 5, 10, 47, 94, 235, 470

Divisors of 820

List of positive integer divisors of 820 that divides 820 without a remainder.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Divisors of 818

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

1, 2, 409, 818

Greatest Common Divisior

We found the divisors of 146, 470, 820, 818 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 146, 470, 820, 818 is 2.

Therefore, GCD of numbers 146, 470, 820, 818 is 2

Given Input Data is 146, 470, 820, 818

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

Prime Factorization of 146 is 2 x 73

Prime Factorization of 470 is 2 x 5 x 47

Prime Factorization of 820 is 2 x 2 x 5 x 41

Prime Factorization of 818 is 2 x 409

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(146, 470) = 34310

GCD(146, 470) = ( 146 x 470 ) / 34310

GCD(146, 470) = 68620 / 34310

GCD(146, 470) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 820

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

LCM(2, 820) = 820

GCD(2, 820) = ( 2 x 820 ) / 820

GCD(2, 820) = 1640 / 820

GCD(2, 820) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 818

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

LCM(2, 818) = 818

GCD(2, 818) = ( 2 x 818 ) / 818

GCD(2, 818) = 1636 / 818

GCD(2, 818) = 2

GCD of 146, 470, 820, 818 is 2

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1. What is the GCD of 146, 470, 820, 818?

GCD of 146, 470, 820, 818 is 2

2. Where do I get the detailed procedure to find GCD of 146, 470, 820, 818?

You can find a detailed procedure to find GCD of 146, 470, 820, 818 on our page.

3. How to find GCD of 146, 470, 820, 818 on a calculator?

You can find the GCD of 146, 470, 820, 818 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.