GCD of 814, 766, 99, 986 Calculator

Given Input numbers are 814, 766, 99, 986

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

Divisors of 814

List of positive integer divisors of 814 that divides 814 without a remainder.

1, 2, 11, 22, 37, 74, 407, 814

Divisors of 766

List of positive integer divisors of 766 that divides 766 without a remainder.

1, 2, 383, 766

Divisors of 99

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

1, 3, 9, 11, 33, 99

Divisors of 986

List of positive integer divisors of 986 that divides 986 without a remainder.

1, 2, 17, 29, 34, 58, 493, 986

Greatest Common Divisior

We found the divisors of 814, 766, 99, 986 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 814, 766, 99, 986 is 1.

Therefore, GCD of numbers 814, 766, 99, 986 is 1

Given Input Data is 814, 766, 99, 986

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

Prime Factorization of 814 is 2 x 11 x 37

Prime Factorization of 766 is 2 x 383

Prime Factorization of 99 is 3 x 3 x 11

Prime Factorization of 986 is 2 x 17 x 29

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(814, 766) = 311762

GCD(814, 766) = ( 814 x 766 ) / 311762

GCD(814, 766) = 623524 / 311762

GCD(814, 766) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 99

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

LCM(2, 99) = 198

GCD(2, 99) = ( 2 x 99 ) / 198

GCD(2, 99) = 198 / 198

GCD(2, 99) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 986

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

LCM(1, 986) = 986

GCD(1, 986) = ( 1 x 986 ) / 986

GCD(1, 986) = 986 / 986

GCD(1, 986) = 1

GCD of 814, 766, 99, 986 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 543, 166, 32, 954
• GCD of 582, 484, 50, 790
• GCD of 797, 101, 41, 224
• GCD of 767, 506, 23, 248
• GCD of 626, 583, 79, 332

1. What is the GCD of 814, 766, 99, 986?

GCD of 814, 766, 99, 986 is 1

2. Where do I get the detailed procedure to find GCD of 814, 766, 99, 986?

You can find a detailed procedure to find GCD of 814, 766, 99, 986 on our page.

3. How to find GCD of 814, 766, 99, 986 on a calculator?

You can find the GCD of 814, 766, 99, 986 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.