GCD of 828, 102, 602, 926 Calculator

Given Input numbers are 828, 102, 602, 926

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

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 102

List of positive integer divisors of 102 that divides 102 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102

Divisors of 602

List of positive integer divisors of 602 that divides 602 without a remainder.

1, 2, 7, 14, 43, 86, 301, 602

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 828, 102, 602, 926 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 828, 102, 602, 926 is 2.

Therefore, GCD of numbers 828, 102, 602, 926 is 2

Given Input Data is 828, 102, 602, 926

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

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

Prime Factorization of 102 is 2 x 3 x 17

Prime Factorization of 602 is 2 x 7 x 43

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(828, 102) = 14076

GCD(828, 102) = ( 828 x 102 ) / 14076

GCD(828, 102) = 84456 / 14076

GCD(828, 102) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 602

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

LCM(6, 602) = 1806

GCD(6, 602) = ( 6 x 602 ) / 1806

GCD(6, 602) = 3612 / 1806

GCD(6, 602) = 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 828, 102, 602, 926 is 2

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1. What is the GCD of 828, 102, 602, 926?

GCD of 828, 102, 602, 926 is 2

2. Where do I get the detailed procedure to find GCD of 828, 102, 602, 926?

You can find a detailed procedure to find GCD of 828, 102, 602, 926 on our page.

3. How to find GCD of 828, 102, 602, 926 on a calculator?

You can find the GCD of 828, 102, 602, 926 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.