GCD of 854, 234, 76, 307 Calculator

Given Input numbers are 854, 234, 76, 307

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

Divisors of 854

List of positive integer divisors of 854 that divides 854 without a remainder.

1, 2, 7, 14, 61, 122, 427, 854

Divisors of 234

List of positive integer divisors of 234 that divides 234 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

Divisors of 76

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

1, 2, 4, 19, 38, 76

Divisors of 307

List of positive integer divisors of 307 that divides 307 without a remainder.

1, 307

Greatest Common Divisior

We found the divisors of 854, 234, 76, 307 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 854, 234, 76, 307 is 1.

Therefore, GCD of numbers 854, 234, 76, 307 is 1

Given Input Data is 854, 234, 76, 307

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

Prime Factorization of 854 is 2 x 7 x 61

Prime Factorization of 234 is 2 x 3 x 3 x 13

Prime Factorization of 76 is 2 x 2 x 19

Prime Factorization of 307 is 307

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(854, 234) = 99918

GCD(854, 234) = ( 854 x 234 ) / 99918

GCD(854, 234) = 199836 / 99918

GCD(854, 234) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 76

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

LCM(2, 76) = 76

GCD(2, 76) = ( 2 x 76 ) / 76

GCD(2, 76) = 152 / 76

GCD(2, 76) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 307

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

LCM(2, 307) = 614

GCD(2, 307) = ( 2 x 307 ) / 614

GCD(2, 307) = 614 / 614

GCD(2, 307) = 1

GCD of 854, 234, 76, 307 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 594, 425, 80, 949
• GCD of 558, 216, 27, 188
• GCD of 412, 197, 77, 516
• GCD of 267, 489, 80, 986
• GCD of 174, 655, 67, 573

1. What is the GCD of 854, 234, 76, 307?

GCD of 854, 234, 76, 307 is 1

2. Where do I get the detailed procedure to find GCD of 854, 234, 76, 307?

You can find a detailed procedure to find GCD of 854, 234, 76, 307 on our page.

3. How to find GCD of 854, 234, 76, 307 on a calculator?

You can find the GCD of 854, 234, 76, 307 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.