GCD of 993, 804, 77, 109 Calculator

Given Input numbers are 993, 804, 77, 109

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

Divisors of 993

List of positive integer divisors of 993 that divides 993 without a remainder.

1, 3, 331, 993

Divisors of 804

List of positive integer divisors of 804 that divides 804 without a remainder.

1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

Divisors of 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

Divisors of 109

List of positive integer divisors of 109 that divides 109 without a remainder.

1, 109

Greatest Common Divisior

We found the divisors of 993, 804, 77, 109 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 993, 804, 77, 109 is 1.

Therefore, GCD of numbers 993, 804, 77, 109 is 1

Given Input Data is 993, 804, 77, 109

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

Prime Factorization of 993 is 3 x 331

Prime Factorization of 804 is 2 x 2 x 3 x 67

Prime Factorization of 77 is 7 x 11

Prime Factorization of 109 is 109

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(993, 804) = 266124

GCD(993, 804) = ( 993 x 804 ) / 266124

GCD(993, 804) = 798372 / 266124

GCD(993, 804) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 77

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

LCM(3, 77) = 231

GCD(3, 77) = ( 3 x 77 ) / 231

GCD(3, 77) = 231 / 231

GCD(3, 77) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 109

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

LCM(1, 109) = 109

GCD(1, 109) = ( 1 x 109 ) / 109

GCD(1, 109) = 109 / 109

GCD(1, 109) = 1

GCD of 993, 804, 77, 109 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 216, 350, 37, 937
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• GCD of 659, 601, 11, 631
• GCD of 409, 301, 65, 876
• GCD of 676, 961, 49, 354

1. What is the GCD of 993, 804, 77, 109?

GCD of 993, 804, 77, 109 is 1

2. Where do I get the detailed procedure to find GCD of 993, 804, 77, 109?

You can find a detailed procedure to find GCD of 993, 804, 77, 109 on our page.

3. How to find GCD of 993, 804, 77, 109 on a calculator?

You can find the GCD of 993, 804, 77, 109 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.