GCD of 814, 749, 524, 663 Calculator

Given Input numbers are 814, 749, 524, 663

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 749

List of positive integer divisors of 749 that divides 749 without a remainder.

1, 7, 107, 749

Divisors of 524

List of positive integer divisors of 524 that divides 524 without a remainder.

1, 2, 4, 131, 262, 524

Divisors of 663

List of positive integer divisors of 663 that divides 663 without a remainder.

1, 3, 13, 17, 39, 51, 221, 663

Greatest Common Divisior

We found the divisors of 814, 749, 524, 663 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 814, 749, 524, 663 is 1.

Therefore, GCD of numbers 814, 749, 524, 663 is 1

Given Input Data is 814, 749, 524, 663

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 749 is 7 x 107

Prime Factorization of 524 is 2 x 2 x 131

Prime Factorization of 663 is 3 x 13 x 17

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, 749) = 609686

GCD(814, 749) = ( 814 x 749 ) / 609686

GCD(814, 749) = 609686 / 609686

GCD(814, 749) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 524

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

LCM(1, 524) = 524

GCD(1, 524) = ( 1 x 524 ) / 524

GCD(1, 524) = 524 / 524

GCD(1, 524) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 663

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

LCM(1, 663) = 663

GCD(1, 663) = ( 1 x 663 ) / 663

GCD(1, 663) = 663 / 663

GCD(1, 663) = 1

GCD of 814, 749, 524, 663 is 1

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1. What is the GCD of 814, 749, 524, 663?

GCD of 814, 749, 524, 663 is 1

2. Where do I get the detailed procedure to find GCD of 814, 749, 524, 663?

You can find a detailed procedure to find GCD of 814, 749, 524, 663 on our page.

3. How to find GCD of 814, 749, 524, 663 on a calculator?

You can find the GCD of 814, 749, 524, 663 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.