GCD of 854, 342, 54, 636 Calculator

Given Input numbers are 854, 342, 54, 636

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

Divisors of 854

List of positive integer divisors of 854 that divides 854 without a remainder.

1, 2, 7, 14, 61, 122, 427, 854

Divisors of 342

List of positive integer divisors of 342 that divides 342 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 54

List of positive integer divisors of 54 that divides 54 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54

Divisors of 636

List of positive integer divisors of 636 that divides 636 without a remainder.

1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636

Greatest Common Divisior

We found the divisors of 854, 342, 54, 636 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 854, 342, 54, 636 is 2.

Therefore, GCD of numbers 854, 342, 54, 636 is 2

Given Input Data is 854, 342, 54, 636

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

Prime Factorization of 854 is 2 x 7 x 61

Prime Factorization of 342 is 2 x 3 x 3 x 19

Prime Factorization of 54 is 2 x 3 x 3 x 3

Prime Factorization of 636 is 2 x 2 x 3 x 53

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(854, 342) = 146034

GCD(854, 342) = ( 854 x 342 ) / 146034

GCD(854, 342) = 292068 / 146034

GCD(854, 342) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 54

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

LCM(2, 54) = 54

GCD(2, 54) = ( 2 x 54 ) / 54

GCD(2, 54) = 108 / 54

GCD(2, 54) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 636

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

LCM(2, 636) = 636

GCD(2, 636) = ( 2 x 636 ) / 636

GCD(2, 636) = 1272 / 636

GCD(2, 636) = 2

GCD of 854, 342, 54, 636 is 2

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1. What is the GCD of 854, 342, 54, 636?

GCD of 854, 342, 54, 636 is 2

2. Where do I get the detailed procedure to find GCD of 854, 342, 54, 636?

You can find a detailed procedure to find GCD of 854, 342, 54, 636 on our page.

3. How to find GCD of 854, 342, 54, 636 on a calculator?

You can find the GCD of 854, 342, 54, 636 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.