GCD of 156, 240, 21, 111 Calculator

Given Input numbers are 156, 240, 21, 111

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

Divisors of 156

List of positive integer divisors of 156 that divides 156 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

Divisors of 240

List of positive integer divisors of 240 that divides 240 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 111

List of positive integer divisors of 111 that divides 111 without a remainder.

1, 3, 37, 111

Greatest Common Divisior

We found the divisors of 156, 240, 21, 111 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 156, 240, 21, 111 is 3.

Therefore, GCD of numbers 156, 240, 21, 111 is 3

Given Input Data is 156, 240, 21, 111

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

Prime Factorization of 156 is 2 x 2 x 3 x 13

Prime Factorization of 240 is 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 21 is 3 x 7

Prime Factorization of 111 is 3 x 37

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(156, 240) = 3120

GCD(156, 240) = ( 156 x 240 ) / 3120

GCD(156, 240) = 37440 / 3120

GCD(156, 240) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 21

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

LCM(12, 21) = 84

GCD(12, 21) = ( 12 x 21 ) / 84

GCD(12, 21) = 252 / 84

GCD(12, 21) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 111

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

LCM(3, 111) = 111

GCD(3, 111) = ( 3 x 111 ) / 111

GCD(3, 111) = 333 / 111

GCD(3, 111) = 3

GCD of 156, 240, 21, 111 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 556, 844, 26, 849
• GCD of 548, 689, 74, 201
• GCD of 918, 243, 19, 622
• GCD of 459, 428, 78, 957
• GCD of 447, 295, 29, 879

1. What is the GCD of 156, 240, 21, 111?

GCD of 156, 240, 21, 111 is 3

2. Where do I get the detailed procedure to find GCD of 156, 240, 21, 111?

You can find a detailed procedure to find GCD of 156, 240, 21, 111 on our page.

3. How to find GCD of 156, 240, 21, 111 on a calculator?

You can find the GCD of 156, 240, 21, 111 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.