GCD of 733, 851, 689, 704 Calculator

Given Input numbers are 733, 851, 689, 704

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

Divisors of 733

List of positive integer divisors of 733 that divides 733 without a remainder.

1, 733

Divisors of 851

List of positive integer divisors of 851 that divides 851 without a remainder.

1, 23, 37, 851

Divisors of 689

List of positive integer divisors of 689 that divides 689 without a remainder.

1, 13, 53, 689

Divisors of 704

List of positive integer divisors of 704 that divides 704 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Greatest Common Divisior

We found the divisors of 733, 851, 689, 704 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 733, 851, 689, 704 is 1.

Therefore, GCD of numbers 733, 851, 689, 704 is 1

Given Input Data is 733, 851, 689, 704

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

Prime Factorization of 733 is 733

Prime Factorization of 851 is 23 x 37

Prime Factorization of 689 is 13 x 53

Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 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(733, 851) = 623783

GCD(733, 851) = ( 733 x 851 ) / 623783

GCD(733, 851) = 623783 / 623783

GCD(733, 851) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 689

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

LCM(1, 689) = 689

GCD(1, 689) = ( 1 x 689 ) / 689

GCD(1, 689) = 689 / 689

GCD(1, 689) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 704

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

LCM(1, 704) = 704

GCD(1, 704) = ( 1 x 704 ) / 704

GCD(1, 704) = 704 / 704

GCD(1, 704) = 1

GCD of 733, 851, 689, 704 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 269, 470, 274, 447
• GCD of 540, 924, 700, 310
• GCD of 191, 620, 360, 164
• GCD of 335, 167, 657, 292
• GCD of 383, 167, 240, 799

1. What is the GCD of 733, 851, 689, 704?

GCD of 733, 851, 689, 704 is 1

2. Where do I get the detailed procedure to find GCD of 733, 851, 689, 704?

You can find a detailed procedure to find GCD of 733, 851, 689, 704 on our page.

3. How to find GCD of 733, 851, 689, 704 on a calculator?

You can find the GCD of 733, 851, 689, 704 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.