GCD of 998, 777, 85, 229 Calculator

Given Input numbers are 998, 777, 85, 229

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

Divisors of 998

List of positive integer divisors of 998 that divides 998 without a remainder.

1, 2, 499, 998

Divisors of 777

List of positive integer divisors of 777 that divides 777 without a remainder.

1, 3, 7, 21, 37, 111, 259, 777

Divisors of 85

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

1, 5, 17, 85

Divisors of 229

List of positive integer divisors of 229 that divides 229 without a remainder.

1, 229

Greatest Common Divisior

We found the divisors of 998, 777, 85, 229 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 998, 777, 85, 229 is 1.

Therefore, GCD of numbers 998, 777, 85, 229 is 1

Given Input Data is 998, 777, 85, 229

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

Prime Factorization of 998 is 2 x 499

Prime Factorization of 777 is 3 x 7 x 37

Prime Factorization of 85 is 5 x 17

Prime Factorization of 229 is 229

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(998, 777) = 775446

GCD(998, 777) = ( 998 x 777 ) / 775446

GCD(998, 777) = 775446 / 775446

GCD(998, 777) = 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 229

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

LCM(1, 229) = 229

GCD(1, 229) = ( 1 x 229 ) / 229

GCD(1, 229) = 229 / 229

GCD(1, 229) = 1

GCD of 998, 777, 85, 229 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 325, 205, 57, 435
• GCD of 996, 516, 46, 893
• GCD of 134, 477, 59, 195
• GCD of 814, 929, 24, 462
• GCD of 394, 452, 76, 911

1. What is the GCD of 998, 777, 85, 229?

GCD of 998, 777, 85, 229 is 1

2. Where do I get the detailed procedure to find GCD of 998, 777, 85, 229?

You can find a detailed procedure to find GCD of 998, 777, 85, 229 on our page.

3. How to find GCD of 998, 777, 85, 229 on a calculator?

You can find the GCD of 998, 777, 85, 229 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.