GCD of 108, 402, 76, 215 Calculator

Given Input numbers are 108, 402, 76, 215

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

Divisors of 108

List of positive integer divisors of 108 that divides 108 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 402

List of positive integer divisors of 402 that divides 402 without a remainder.

1, 2, 3, 6, 67, 134, 201, 402

Divisors of 76

List of positive integer divisors of 76 that divides 76 without a remainder.

1, 2, 4, 19, 38, 76

Divisors of 215

List of positive integer divisors of 215 that divides 215 without a remainder.

1, 5, 43, 215

Greatest Common Divisior

We found the divisors of 108, 402, 76, 215 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 108, 402, 76, 215 is 1.

Therefore, GCD of numbers 108, 402, 76, 215 is 1

Given Input Data is 108, 402, 76, 215

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

Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3

Prime Factorization of 402 is 2 x 3 x 67

Prime Factorization of 76 is 2 x 2 x 19

Prime Factorization of 215 is 5 x 43

The above numbers do not have any common prime factor. So GCD is 1

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(108, 402) = 7236

GCD(108, 402) = ( 108 x 402 ) / 7236

GCD(108, 402) = 43416 / 7236

GCD(108, 402) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 76

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

LCM(6, 76) = 228

GCD(6, 76) = ( 6 x 76 ) / 228

GCD(6, 76) = 456 / 228

GCD(6, 76) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 215

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

LCM(2, 215) = 430

GCD(2, 215) = ( 2 x 215 ) / 430

GCD(2, 215) = 430 / 430

GCD(2, 215) = 1

GCD of 108, 402, 76, 215 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 712, 437, 74, 212
• GCD of 705, 376, 78, 918
• GCD of 540, 857, 33, 266
• GCD of 700, 431, 75, 363
• GCD of 998, 455, 72, 633

1. What is the GCD of 108, 402, 76, 215?

GCD of 108, 402, 76, 215 is 1

2. Where do I get the detailed procedure to find GCD of 108, 402, 76, 215?

You can find a detailed procedure to find GCD of 108, 402, 76, 215 on our page.

3. How to find GCD of 108, 402, 76, 215 on a calculator?

You can find the GCD of 108, 402, 76, 215 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.