GCD of 266, 162, 78, 828 Calculator

Given Input numbers are 266, 162, 78, 828

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

Divisors of 266

List of positive integer divisors of 266 that divides 266 without a remainder.

1, 2, 7, 14, 19, 38, 133, 266

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 78

List of positive integer divisors of 78 that divides 78 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78

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

Greatest Common Divisior

We found the divisors of 266, 162, 78, 828 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 266, 162, 78, 828 is 2.

Therefore, GCD of numbers 266, 162, 78, 828 is 2

Given Input Data is 266, 162, 78, 828

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

Prime Factorization of 266 is 2 x 7 x 19

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

Prime Factorization of 78 is 2 x 3 x 13

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

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(266, 162) = 21546

GCD(266, 162) = ( 266 x 162 ) / 21546

GCD(266, 162) = 43092 / 21546

GCD(266, 162) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 78

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

LCM(2, 78) = 78

GCD(2, 78) = ( 2 x 78 ) / 78

GCD(2, 78) = 156 / 78

GCD(2, 78) = 2

Step3:

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

GCD of 266, 162, 78, 828 is 2

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1. What is the GCD of 266, 162, 78, 828?

GCD of 266, 162, 78, 828 is 2

2. Where do I get the detailed procedure to find GCD of 266, 162, 78, 828?

You can find a detailed procedure to find GCD of 266, 162, 78, 828 on our page.

3. How to find GCD of 266, 162, 78, 828 on a calculator?

You can find the GCD of 266, 162, 78, 828 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.