GCD of 326, 114, 862, 652 Calculator

Given Input numbers are 326, 114, 862, 652

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

Divisors of 326

List of positive integer divisors of 326 that divides 326 without a remainder.

1, 2, 163, 326

Divisors of 114

List of positive integer divisors of 114 that divides 114 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114

Divisors of 862

List of positive integer divisors of 862 that divides 862 without a remainder.

1, 2, 431, 862

Divisors of 652

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

1, 2, 4, 163, 326, 652

Greatest Common Divisior

We found the divisors of 326, 114, 862, 652 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 326, 114, 862, 652 is 2.

Therefore, GCD of numbers 326, 114, 862, 652 is 2

Given Input Data is 326, 114, 862, 652

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

Prime Factorization of 326 is 2 x 163

Prime Factorization of 114 is 2 x 3 x 19

Prime Factorization of 862 is 2 x 431

Prime Factorization of 652 is 2 x 2 x 163

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(326, 114) = 18582

GCD(326, 114) = ( 326 x 114 ) / 18582

GCD(326, 114) = 37164 / 18582

GCD(326, 114) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 862

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

LCM(2, 862) = 862

GCD(2, 862) = ( 2 x 862 ) / 862

GCD(2, 862) = 1724 / 862

GCD(2, 862) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 652

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

LCM(2, 652) = 652

GCD(2, 652) = ( 2 x 652 ) / 652

GCD(2, 652) = 1304 / 652

GCD(2, 652) = 2

GCD of 326, 114, 862, 652 is 2

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1. What is the GCD of 326, 114, 862, 652?

GCD of 326, 114, 862, 652 is 2

2. Where do I get the detailed procedure to find GCD of 326, 114, 862, 652?

You can find a detailed procedure to find GCD of 326, 114, 862, 652 on our page.

3. How to find GCD of 326, 114, 862, 652 on a calculator?

You can find the GCD of 326, 114, 862, 652 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.