GCD of 721, 214, 767, 792 Calculator

Given Input numbers are 721, 214, 767, 792

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

Divisors of 721

List of positive integer divisors of 721 that divides 721 without a remainder.

1, 7, 103, 721

Divisors of 214

List of positive integer divisors of 214 that divides 214 without a remainder.

1, 2, 107, 214

Divisors of 767

List of positive integer divisors of 767 that divides 767 without a remainder.

1, 13, 59, 767

Divisors of 792

List of positive integer divisors of 792 that divides 792 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

Greatest Common Divisior

We found the divisors of 721, 214, 767, 792 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 721, 214, 767, 792 is 1.

Therefore, GCD of numbers 721, 214, 767, 792 is 1

Given Input Data is 721, 214, 767, 792

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

Prime Factorization of 721 is 7 x 103

Prime Factorization of 214 is 2 x 107

Prime Factorization of 767 is 13 x 59

Prime Factorization of 792 is 2 x 2 x 2 x 3 x 3 x 11

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(721, 214) = 154294

GCD(721, 214) = ( 721 x 214 ) / 154294

GCD(721, 214) = 154294 / 154294

GCD(721, 214) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 767

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

LCM(1, 767) = 767

GCD(1, 767) = ( 1 x 767 ) / 767

GCD(1, 767) = 767 / 767

GCD(1, 767) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 792

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

LCM(1, 792) = 792

GCD(1, 792) = ( 1 x 792 ) / 792

GCD(1, 792) = 792 / 792

GCD(1, 792) = 1

GCD of 721, 214, 767, 792 is 1

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1. What is the GCD of 721, 214, 767, 792?

GCD of 721, 214, 767, 792 is 1

2. Where do I get the detailed procedure to find GCD of 721, 214, 767, 792?

You can find a detailed procedure to find GCD of 721, 214, 767, 792 on our page.

3. How to find GCD of 721, 214, 767, 792 on a calculator?

You can find the GCD of 721, 214, 767, 792 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.