GCD of 721, 897, 754, 996 Calculator

Given Input numbers are 721, 897, 754, 996

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 897

List of positive integer divisors of 897 that divides 897 without a remainder.

1, 3, 13, 23, 39, 69, 299, 897

Divisors of 754

List of positive integer divisors of 754 that divides 754 without a remainder.

1, 2, 13, 26, 29, 58, 377, 754

Divisors of 996

List of positive integer divisors of 996 that divides 996 without a remainder.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Greatest Common Divisior

We found the divisors of 721, 897, 754, 996 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 721, 897, 754, 996 is 1.

Therefore, GCD of numbers 721, 897, 754, 996 is 1

Given Input Data is 721, 897, 754, 996

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

Prime Factorization of 721 is 7 x 103

Prime Factorization of 897 is 3 x 13 x 23

Prime Factorization of 754 is 2 x 13 x 29

Prime Factorization of 996 is 2 x 2 x 3 x 83

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, 897) = 646737

GCD(721, 897) = ( 721 x 897 ) / 646737

GCD(721, 897) = 646737 / 646737

GCD(721, 897) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 754

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

LCM(1, 754) = 754

GCD(1, 754) = ( 1 x 754 ) / 754

GCD(1, 754) = 754 / 754

GCD(1, 754) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 996

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

LCM(1, 996) = 996

GCD(1, 996) = ( 1 x 996 ) / 996

GCD(1, 996) = 996 / 996

GCD(1, 996) = 1

GCD of 721, 897, 754, 996 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 384, 107, 320, 478
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• GCD of 257, 106, 708, 695

1. What is the GCD of 721, 897, 754, 996?

GCD of 721, 897, 754, 996 is 1

2. Where do I get the detailed procedure to find GCD of 721, 897, 754, 996?

You can find a detailed procedure to find GCD of 721, 897, 754, 996 on our page.

3. How to find GCD of 721, 897, 754, 996 on a calculator?

You can find the GCD of 721, 897, 754, 996 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.