GCD of 692, 618, 828, 426 Calculator

Given Input numbers are 692, 618, 828, 426

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

Divisors of 692

List of positive integer divisors of 692 that divides 692 without a remainder.

1, 2, 4, 173, 346, 692

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 828

List of positive integer divisors of 828 that divides 828 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 426

List of positive integer divisors of 426 that divides 426 without a remainder.

1, 2, 3, 6, 71, 142, 213, 426

Greatest Common Divisior

We found the divisors of 692, 618, 828, 426 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 692, 618, 828, 426 is 2.

Therefore, GCD of numbers 692, 618, 828, 426 is 2

Given Input Data is 692, 618, 828, 426

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

Prime Factorization of 692 is 2 x 2 x 173

Prime Factorization of 618 is 2 x 3 x 103

Prime Factorization of 828 is 2 x 2 x 3 x 3 x 23

Prime Factorization of 426 is 2 x 3 x 71

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(692, 618) = 213828

GCD(692, 618) = ( 692 x 618 ) / 213828

GCD(692, 618) = 427656 / 213828

GCD(692, 618) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 828

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

LCM(2, 828) = 828

GCD(2, 828) = ( 2 x 828 ) / 828

GCD(2, 828) = 1656 / 828

GCD(2, 828) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 426

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

LCM(2, 426) = 426

GCD(2, 426) = ( 2 x 426 ) / 426

GCD(2, 426) = 852 / 426

GCD(2, 426) = 2

GCD of 692, 618, 828, 426 is 2

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1. What is the GCD of 692, 618, 828, 426?

GCD of 692, 618, 828, 426 is 2

2. Where do I get the detailed procedure to find GCD of 692, 618, 828, 426?

You can find a detailed procedure to find GCD of 692, 618, 828, 426 on our page.

3. How to find GCD of 692, 618, 828, 426 on a calculator?

You can find the GCD of 692, 618, 828, 426 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.