GCD of 628, 396, 618, 926 Calculator

Given Input numbers are 628, 396, 618, 926

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

Divisors of 628

List of positive integer divisors of 628 that divides 628 without a remainder.

1, 2, 4, 157, 314, 628

Divisors of 396

List of positive integer divisors of 396 that divides 396 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Divisors of 618

List of positive integer divisors of 618 that divides 618 without a remainder.

1, 2, 3, 6, 103, 206, 309, 618

Divisors of 926

List of positive integer divisors of 926 that divides 926 without a remainder.

1, 2, 463, 926

Greatest Common Divisior

We found the divisors of 628, 396, 618, 926 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 628, 396, 618, 926 is 2.

Therefore, GCD of numbers 628, 396, 618, 926 is 2

Given Input Data is 628, 396, 618, 926

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

Prime Factorization of 628 is 2 x 2 x 157

Prime Factorization of 396 is 2 x 2 x 3 x 3 x 11

Prime Factorization of 618 is 2 x 3 x 103

Prime Factorization of 926 is 2 x 463

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(628, 396) = 62172

GCD(628, 396) = ( 628 x 396 ) / 62172

GCD(628, 396) = 248688 / 62172

GCD(628, 396) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 618

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

LCM(4, 618) = 1236

GCD(4, 618) = ( 4 x 618 ) / 1236

GCD(4, 618) = 2472 / 1236

GCD(4, 618) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 926

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

LCM(2, 926) = 926

GCD(2, 926) = ( 2 x 926 ) / 926

GCD(2, 926) = 1852 / 926

GCD(2, 926) = 2

GCD of 628, 396, 618, 926 is 2

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1. What is the GCD of 628, 396, 618, 926?

GCD of 628, 396, 618, 926 is 2

2. Where do I get the detailed procedure to find GCD of 628, 396, 618, 926?

You can find a detailed procedure to find GCD of 628, 396, 618, 926 on our page.

3. How to find GCD of 628, 396, 618, 926 on a calculator?

You can find the GCD of 628, 396, 618, 926 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.