GCD of 396, 540, 861, 153 Calculator

Given Input numbers are 396, 540, 861, 153

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

Divisors of 396

List of positive integer divisors of 396 that divides 396 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

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

Divisors of 861

List of positive integer divisors of 861 that divides 861 without a remainder.

1, 3, 7, 21, 41, 123, 287, 861

Divisors of 153

List of positive integer divisors of 153 that divides 153 without a remainder.

1, 3, 9, 17, 51, 153

Greatest Common Divisior

We found the divisors of 396, 540, 861, 153 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 396, 540, 861, 153 is 3.

Therefore, GCD of numbers 396, 540, 861, 153 is 3

Given Input Data is 396, 540, 861, 153

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

Prime Factorization of 396 is 2 x 2 x 3 x 3 x 11

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

Prime Factorization of 861 is 3 x 7 x 41

Prime Factorization of 153 is 3 x 3 x 17

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(396, 540) = 5940

GCD(396, 540) = ( 396 x 540 ) / 5940

GCD(396, 540) = 213840 / 5940

GCD(396, 540) = 36

Step2:

Here we consider the GCD from the above i.e. 36 as first number and the next as 861

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

LCM(36, 861) = 10332

GCD(36, 861) = ( 36 x 861 ) / 10332

GCD(36, 861) = 30996 / 10332

GCD(36, 861) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 153

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

LCM(3, 153) = 153

GCD(3, 153) = ( 3 x 153 ) / 153

GCD(3, 153) = 459 / 153

GCD(3, 153) = 3

GCD of 396, 540, 861, 153 is 3

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1. What is the GCD of 396, 540, 861, 153?

GCD of 396, 540, 861, 153 is 3

2. Where do I get the detailed procedure to find GCD of 396, 540, 861, 153?

You can find a detailed procedure to find GCD of 396, 540, 861, 153 on our page.

3. How to find GCD of 396, 540, 861, 153 on a calculator?

You can find the GCD of 396, 540, 861, 153 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.