GCD of 310, 652, 162, 446 Calculator

Given Input numbers are 310, 652, 162, 446

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

Divisors of 310

List of positive integer divisors of 310 that divides 310 without a remainder.

1, 2, 5, 10, 31, 62, 155, 310

Divisors of 652

List of positive integer divisors of 652 that divides 652 without a remainder.

1, 2, 4, 163, 326, 652

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

Divisors of 446

List of positive integer divisors of 446 that divides 446 without a remainder.

1, 2, 223, 446

Greatest Common Divisior

We found the divisors of 310, 652, 162, 446 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 310, 652, 162, 446 is 2.

Therefore, GCD of numbers 310, 652, 162, 446 is 2

Given Input Data is 310, 652, 162, 446

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

Prime Factorization of 310 is 2 x 5 x 31

Prime Factorization of 652 is 2 x 2 x 163

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

Prime Factorization of 446 is 2 x 223

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(310, 652) = 101060

GCD(310, 652) = ( 310 x 652 ) / 101060

GCD(310, 652) = 202120 / 101060

GCD(310, 652) = 2

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 446

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

LCM(2, 446) = 446

GCD(2, 446) = ( 2 x 446 ) / 446

GCD(2, 446) = 892 / 446

GCD(2, 446) = 2

GCD of 310, 652, 162, 446 is 2

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1. What is the GCD of 310, 652, 162, 446?

GCD of 310, 652, 162, 446 is 2

2. Where do I get the detailed procedure to find GCD of 310, 652, 162, 446?

You can find a detailed procedure to find GCD of 310, 652, 162, 446 on our page.

3. How to find GCD of 310, 652, 162, 446 on a calculator?

You can find the GCD of 310, 652, 162, 446 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.