GCD of 743, 614, 18, 812 Calculator

Given Input numbers are 743, 614, 18, 812

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

Divisors of 743

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

1, 743

Divisors of 614

List of positive integer divisors of 614 that divides 614 without a remainder.

1, 2, 307, 614

Divisors of 18

List of positive integer divisors of 18 that divides 18 without a remainder.

1, 2, 3, 6, 9, 18

Divisors of 812

List of positive integer divisors of 812 that divides 812 without a remainder.

1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

Greatest Common Divisior

We found the divisors of 743, 614, 18, 812 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 743, 614, 18, 812 is 1.

Therefore, GCD of numbers 743, 614, 18, 812 is 1

Given Input Data is 743, 614, 18, 812

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

Prime Factorization of 743 is 743

Prime Factorization of 614 is 2 x 307

Prime Factorization of 18 is 2 x 3 x 3

Prime Factorization of 812 is 2 x 2 x 7 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(743, 614) = 456202

GCD(743, 614) = ( 743 x 614 ) / 456202

GCD(743, 614) = 456202 / 456202

GCD(743, 614) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 18

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

LCM(1, 18) = 18

GCD(1, 18) = ( 1 x 18 ) / 18

GCD(1, 18) = 18 / 18

GCD(1, 18) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 812

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

LCM(1, 812) = 812

GCD(1, 812) = ( 1 x 812 ) / 812

GCD(1, 812) = 812 / 812

GCD(1, 812) = 1

GCD of 743, 614, 18, 812 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 462, 335, 85, 427
• GCD of 238, 520, 37, 439
• GCD of 944, 868, 74, 582
• GCD of 194, 604, 74, 192
• GCD of 771, 754, 44, 169

1. What is the GCD of 743, 614, 18, 812?

GCD of 743, 614, 18, 812 is 1

2. Where do I get the detailed procedure to find GCD of 743, 614, 18, 812?

You can find a detailed procedure to find GCD of 743, 614, 18, 812 on our page.

3. How to find GCD of 743, 614, 18, 812 on a calculator?

You can find the GCD of 743, 614, 18, 812 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.