GCD of 76, 233, 122, 400 Calculator

Given Input numbers are 76, 233, 122, 400

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

Divisors of 76

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

1, 2, 4, 19, 38, 76

Divisors of 233

List of positive integer divisors of 233 that divides 233 without a remainder.

1, 233

Divisors of 122

List of positive integer divisors of 122 that divides 122 without a remainder.

1, 2, 61, 122

Divisors of 400

List of positive integer divisors of 400 that divides 400 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Greatest Common Divisior

We found the divisors of 76, 233, 122, 400 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 76, 233, 122, 400 is 1.

Therefore, GCD of numbers 76, 233, 122, 400 is 1

Given Input Data is 76, 233, 122, 400

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

Prime Factorization of 76 is 2 x 2 x 19

Prime Factorization of 233 is 233

Prime Factorization of 122 is 2 x 61

Prime Factorization of 400 is 2 x 2 x 2 x 2 x 5 x 5

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(76, 233) = 17708

GCD(76, 233) = ( 76 x 233 ) / 17708

GCD(76, 233) = 17708 / 17708

GCD(76, 233) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 122

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

LCM(1, 122) = 122

GCD(1, 122) = ( 1 x 122 ) / 122

GCD(1, 122) = 122 / 122

GCD(1, 122) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 400

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

LCM(1, 400) = 400

GCD(1, 400) = ( 1 x 400 ) / 400

GCD(1, 400) = 400 / 400

GCD(1, 400) = 1

GCD of 76, 233, 122, 400 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 47, 980, 472, 412
• GCD of 41, 692, 715, 369
• GCD of 45, 726, 682, 433
• GCD of 78, 442, 816, 240
• GCD of 69, 116, 360, 810

1. What is the GCD of 76, 233, 122, 400?

GCD of 76, 233, 122, 400 is 1

2. Where do I get the detailed procedure to find GCD of 76, 233, 122, 400?

You can find a detailed procedure to find GCD of 76, 233, 122, 400 on our page.

3. How to find GCD of 76, 233, 122, 400 on a calculator?

You can find the GCD of 76, 233, 122, 400 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.