GCD of 53, 747, 992, 814 Calculator

Given Input numbers are 53, 747, 992, 814

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

Divisors of 53

List of positive integer divisors of 53 that divides 53 without a remainder.

1, 53

Divisors of 747

List of positive integer divisors of 747 that divides 747 without a remainder.

1, 3, 9, 83, 249, 747

Divisors of 992

List of positive integer divisors of 992 that divides 992 without a remainder.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

Divisors of 814

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

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

Greatest Common Divisior

We found the divisors of 53, 747, 992, 814 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 53, 747, 992, 814 is 1.

Therefore, GCD of numbers 53, 747, 992, 814 is 1

Given Input Data is 53, 747, 992, 814

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

Prime Factorization of 53 is 53

Prime Factorization of 747 is 3 x 3 x 83

Prime Factorization of 992 is 2 x 2 x 2 x 2 x 2 x 31

Prime Factorization of 814 is 2 x 11 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(53, 747) = 39591

GCD(53, 747) = ( 53 x 747 ) / 39591

GCD(53, 747) = 39591 / 39591

GCD(53, 747) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 992

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

LCM(1, 992) = 992

GCD(1, 992) = ( 1 x 992 ) / 992

GCD(1, 992) = 992 / 992

GCD(1, 992) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 814

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

LCM(1, 814) = 814

GCD(1, 814) = ( 1 x 814 ) / 814

GCD(1, 814) = 814 / 814

GCD(1, 814) = 1

GCD of 53, 747, 992, 814 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 21, 248, 222, 878
• GCD of 37, 272, 812, 820
• GCD of 11, 254, 646, 557
• GCD of 76, 955, 715, 276
• GCD of 41, 769, 602, 670

1. What is the GCD of 53, 747, 992, 814?

GCD of 53, 747, 992, 814 is 1

2. Where do I get the detailed procedure to find GCD of 53, 747, 992, 814?

You can find a detailed procedure to find GCD of 53, 747, 992, 814 on our page.

3. How to find GCD of 53, 747, 992, 814 on a calculator?

You can find the GCD of 53, 747, 992, 814 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.