GCD of 808, 376, 37, 114 Calculator

Given Input numbers are 808, 376, 37, 114

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

Divisors of 808

List of positive integer divisors of 808 that divides 808 without a remainder.

1, 2, 4, 8, 101, 202, 404, 808

Divisors of 376

List of positive integer divisors of 376 that divides 376 without a remainder.

1, 2, 4, 8, 47, 94, 188, 376

Divisors of 37

List of positive integer divisors of 37 that divides 37 without a remainder.

1, 37

Divisors of 114

List of positive integer divisors of 114 that divides 114 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114

Greatest Common Divisior

We found the divisors of 808, 376, 37, 114 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 808, 376, 37, 114 is 1.

Therefore, GCD of numbers 808, 376, 37, 114 is 1

Given Input Data is 808, 376, 37, 114

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

Prime Factorization of 808 is 2 x 2 x 2 x 101

Prime Factorization of 376 is 2 x 2 x 2 x 47

Prime Factorization of 37 is 37

Prime Factorization of 114 is 2 x 3 x 19

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(808, 376) = 37976

GCD(808, 376) = ( 808 x 376 ) / 37976

GCD(808, 376) = 303808 / 37976

GCD(808, 376) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 37

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

LCM(8, 37) = 296

GCD(8, 37) = ( 8 x 37 ) / 296

GCD(8, 37) = 296 / 296

GCD(8, 37) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 114

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

LCM(1, 114) = 114

GCD(1, 114) = ( 1 x 114 ) / 114

GCD(1, 114) = 114 / 114

GCD(1, 114) = 1

GCD of 808, 376, 37, 114 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 994, 369, 53, 337
• GCD of 918, 620, 63, 221
• GCD of 253, 977, 75, 841
• GCD of 203, 951, 45, 749
• GCD of 564, 113, 47, 297

1. What is the GCD of 808, 376, 37, 114?

GCD of 808, 376, 37, 114 is 1

2. Where do I get the detailed procedure to find GCD of 808, 376, 37, 114?

You can find a detailed procedure to find GCD of 808, 376, 37, 114 on our page.

3. How to find GCD of 808, 376, 37, 114 on a calculator?

You can find the GCD of 808, 376, 37, 114 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.