GCD of 107, 228, 85, 376 Calculator

Given Input numbers are 107, 228, 85, 376

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

Divisors of 107

List of positive integer divisors of 107 that divides 107 without a remainder.

1, 107

Divisors of 228

List of positive integer divisors of 228 that divides 228 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

Divisors of 85

List of positive integer divisors of 85 that divides 85 without a remainder.

1, 5, 17, 85

Divisors of 376

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

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

Greatest Common Divisior

We found the divisors of 107, 228, 85, 376 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 107, 228, 85, 376 is 1.

Therefore, GCD of numbers 107, 228, 85, 376 is 1

Given Input Data is 107, 228, 85, 376

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

Prime Factorization of 107 is 107

Prime Factorization of 228 is 2 x 2 x 3 x 19

Prime Factorization of 85 is 5 x 17

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

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(107, 228) = 24396

GCD(107, 228) = ( 107 x 228 ) / 24396

GCD(107, 228) = 24396 / 24396

GCD(107, 228) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 85

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

LCM(1, 85) = 85

GCD(1, 85) = ( 1 x 85 ) / 85

GCD(1, 85) = 85 / 85

GCD(1, 85) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 376

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

LCM(1, 376) = 376

GCD(1, 376) = ( 1 x 376 ) / 376

GCD(1, 376) = 376 / 376

GCD(1, 376) = 1

GCD of 107, 228, 85, 376 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 529, 804, 78, 489
• GCD of 544, 683, 48, 287
• GCD of 201, 900, 51, 360
• GCD of 245, 713, 59, 486
• GCD of 316, 275, 79, 362

1. What is the GCD of 107, 228, 85, 376?

GCD of 107, 228, 85, 376 is 1

2. Where do I get the detailed procedure to find GCD of 107, 228, 85, 376?

You can find a detailed procedure to find GCD of 107, 228, 85, 376 on our page.

3. How to find GCD of 107, 228, 85, 376 on a calculator?

You can find the GCD of 107, 228, 85, 376 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.