GCD of 814, 743, 786, 222 Calculator

Given Input numbers are 814, 743, 786, 222

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 743

List of positive integer divisors of 743 that divides 743 without a remainder.

1, 743

Divisors of 786

List of positive integer divisors of 786 that divides 786 without a remainder.

1, 2, 3, 6, 131, 262, 393, 786

Divisors of 222

List of positive integer divisors of 222 that divides 222 without a remainder.

1, 2, 3, 6, 37, 74, 111, 222

Greatest Common Divisior

We found the divisors of 814, 743, 786, 222 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 814, 743, 786, 222 is 1.

Therefore, GCD of numbers 814, 743, 786, 222 is 1

Given Input Data is 814, 743, 786, 222

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 743 is 743

Prime Factorization of 786 is 2 x 3 x 131

Prime Factorization of 222 is 2 x 3 x 37

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, 743) = 604802

GCD(814, 743) = ( 814 x 743 ) / 604802

GCD(814, 743) = 604802 / 604802

GCD(814, 743) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 786

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

LCM(1, 786) = 786

GCD(1, 786) = ( 1 x 786 ) / 786

GCD(1, 786) = 786 / 786

GCD(1, 786) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 222

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

LCM(1, 222) = 222

GCD(1, 222) = ( 1 x 222 ) / 222

GCD(1, 222) = 222 / 222

GCD(1, 222) = 1

GCD of 814, 743, 786, 222 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 645, 276, 804, 280
• GCD of 583, 318, 653, 561
• GCD of 679, 833, 291, 385
• GCD of 134, 106, 274, 796
• GCD of 740, 824, 241, 822

1. What is the GCD of 814, 743, 786, 222?

GCD of 814, 743, 786, 222 is 1

2. Where do I get the detailed procedure to find GCD of 814, 743, 786, 222?

You can find a detailed procedure to find GCD of 814, 743, 786, 222 on our page.

3. How to find GCD of 814, 743, 786, 222 on a calculator?

You can find the GCD of 814, 743, 786, 222 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.