GCD of 76, 335, 306, 200 Calculator

Given Input numbers are 76, 335, 306, 200

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 335

List of positive integer divisors of 335 that divides 335 without a remainder.

1, 5, 67, 335

Divisors of 306

List of positive integer divisors of 306 that divides 306 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

Divisors of 200

List of positive integer divisors of 200 that divides 200 without a remainder.

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

Greatest Common Divisior

We found the divisors of 76, 335, 306, 200 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 76, 335, 306, 200 is 1.

Therefore, GCD of numbers 76, 335, 306, 200 is 1

Given Input Data is 76, 335, 306, 200

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 335 is 5 x 67

Prime Factorization of 306 is 2 x 3 x 3 x 17

Prime Factorization of 200 is 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, 335) = 25460

GCD(76, 335) = ( 76 x 335 ) / 25460

GCD(76, 335) = 25460 / 25460

GCD(76, 335) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 306

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

LCM(1, 306) = 306

GCD(1, 306) = ( 1 x 306 ) / 306

GCD(1, 306) = 306 / 306

GCD(1, 306) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 200

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

LCM(1, 200) = 200

GCD(1, 200) = ( 1 x 200 ) / 200

GCD(1, 200) = 200 / 200

GCD(1, 200) = 1

GCD of 76, 335, 306, 200 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 74, 633, 704, 651
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• GCD of 77, 115, 278, 731

1. What is the GCD of 76, 335, 306, 200?

GCD of 76, 335, 306, 200 is 1

2. Where do I get the detailed procedure to find GCD of 76, 335, 306, 200?

You can find a detailed procedure to find GCD of 76, 335, 306, 200 on our page.

3. How to find GCD of 76, 335, 306, 200 on a calculator?

You can find the GCD of 76, 335, 306, 200 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.