GCD of 99, 427, 770, 311 Calculator

Given Input numbers are 99, 427, 770, 311

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

Divisors of 99

List of positive integer divisors of 99 that divides 99 without a remainder.

1, 3, 9, 11, 33, 99

Divisors of 427

List of positive integer divisors of 427 that divides 427 without a remainder.

1, 7, 61, 427

Divisors of 770

List of positive integer divisors of 770 that divides 770 without a remainder.

1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

Divisors of 311

List of positive integer divisors of 311 that divides 311 without a remainder.

1, 311

Greatest Common Divisior

We found the divisors of 99, 427, 770, 311 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 99, 427, 770, 311 is 1.

Therefore, GCD of numbers 99, 427, 770, 311 is 1

Given Input Data is 99, 427, 770, 311

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

Prime Factorization of 99 is 3 x 3 x 11

Prime Factorization of 427 is 7 x 61

Prime Factorization of 770 is 2 x 5 x 7 x 11

Prime Factorization of 311 is 311

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(99, 427) = 42273

GCD(99, 427) = ( 99 x 427 ) / 42273

GCD(99, 427) = 42273 / 42273

GCD(99, 427) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 770

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

LCM(1, 770) = 770

GCD(1, 770) = ( 1 x 770 ) / 770

GCD(1, 770) = 770 / 770

GCD(1, 770) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 311

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

LCM(1, 311) = 311

GCD(1, 311) = ( 1 x 311 ) / 311

GCD(1, 311) = 311 / 311

GCD(1, 311) = 1

GCD of 99, 427, 770, 311 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 38, 462, 936, 321
• GCD of 79, 784, 587, 359
• GCD of 12, 504, 284, 731
• GCD of 38, 301, 496, 302
• GCD of 35, 206, 610, 499

1. What is the GCD of 99, 427, 770, 311?

GCD of 99, 427, 770, 311 is 1

2. Where do I get the detailed procedure to find GCD of 99, 427, 770, 311?

You can find a detailed procedure to find GCD of 99, 427, 770, 311 on our page.

3. How to find GCD of 99, 427, 770, 311 on a calculator?

You can find the GCD of 99, 427, 770, 311 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.