GCD of 36, 678, 838, 540 Calculator

Given Input numbers are 36, 678, 838, 540

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

Divisors of 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

Divisors of 678

List of positive integer divisors of 678 that divides 678 without a remainder.

1, 2, 3, 6, 113, 226, 339, 678

Divisors of 838

List of positive integer divisors of 838 that divides 838 without a remainder.

1, 2, 419, 838

Divisors of 540

List of positive integer divisors of 540 that divides 540 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

Greatest Common Divisior

We found the divisors of 36, 678, 838, 540 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 36, 678, 838, 540 is 2.

Therefore, GCD of numbers 36, 678, 838, 540 is 2

Given Input Data is 36, 678, 838, 540

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

Prime Factorization of 36 is 2 x 2 x 3 x 3

Prime Factorization of 678 is 2 x 3 x 113

Prime Factorization of 838 is 2 x 419

Prime Factorization of 540 is 2 x 2 x 3 x 3 x 3 x 5

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(36, 678) = 4068

GCD(36, 678) = ( 36 x 678 ) / 4068

GCD(36, 678) = 24408 / 4068

GCD(36, 678) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 838

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

LCM(6, 838) = 2514

GCD(6, 838) = ( 6 x 838 ) / 2514

GCD(6, 838) = 5028 / 2514

GCD(6, 838) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 540

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

LCM(2, 540) = 540

GCD(2, 540) = ( 2 x 540 ) / 540

GCD(2, 540) = 1080 / 540

GCD(2, 540) = 2

GCD of 36, 678, 838, 540 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 38, 520, 686, 427
• GCD of 73, 657, 900, 447
• GCD of 56, 653, 735, 804
• GCD of 45, 191, 372, 806
• GCD of 18, 809, 520, 281

1. What is the GCD of 36, 678, 838, 540?

GCD of 36, 678, 838, 540 is 2

2. Where do I get the detailed procedure to find GCD of 36, 678, 838, 540?

You can find a detailed procedure to find GCD of 36, 678, 838, 540 on our page.

3. How to find GCD of 36, 678, 838, 540 on a calculator?

You can find the GCD of 36, 678, 838, 540 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.