GCD of 156, 249, 87, 219 Calculator

Given Input numbers are 156, 249, 87, 219

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 249

List of positive integer divisors of 249 that divides 249 without a remainder.

1, 3, 83, 249

Divisors of 87

List of positive integer divisors of 87 that divides 87 without a remainder.

1, 3, 29, 87

Divisors of 219

List of positive integer divisors of 219 that divides 219 without a remainder.

1, 3, 73, 219

Greatest Common Divisior

We found the divisors of 156, 249, 87, 219 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 156, 249, 87, 219 is 3.

Therefore, GCD of numbers 156, 249, 87, 219 is 3

Given Input Data is 156, 249, 87, 219

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 249 is 3 x 83

Prime Factorization of 87 is 3 x 29

Prime Factorization of 219 is 3 x 73

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, 249) = 12948

GCD(156, 249) = ( 156 x 249 ) / 12948

GCD(156, 249) = 38844 / 12948

GCD(156, 249) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 87

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

LCM(3, 87) = 87

GCD(3, 87) = ( 3 x 87 ) / 87

GCD(3, 87) = 261 / 87

GCD(3, 87) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 219

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

LCM(3, 219) = 219

GCD(3, 219) = ( 3 x 219 ) / 219

GCD(3, 219) = 657 / 219

GCD(3, 219) = 3

GCD of 156, 249, 87, 219 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 403, 408, 55, 442
• GCD of 771, 145, 32, 377
• GCD of 261, 820, 64, 730
• GCD of 543, 181, 95, 345
• GCD of 600, 220, 43, 936

1. What is the GCD of 156, 249, 87, 219?

GCD of 156, 249, 87, 219 is 3

2. Where do I get the detailed procedure to find GCD of 156, 249, 87, 219?

You can find a detailed procedure to find GCD of 156, 249, 87, 219 on our page.

3. How to find GCD of 156, 249, 87, 219 on a calculator?

You can find the GCD of 156, 249, 87, 219 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.