GCD of 894, 741, 73, 689 Calculator

Given Input numbers are 894, 741, 73, 689

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

Divisors of 894

List of positive integer divisors of 894 that divides 894 without a remainder.

1, 2, 3, 6, 149, 298, 447, 894

Divisors of 741

List of positive integer divisors of 741 that divides 741 without a remainder.

1, 3, 13, 19, 39, 57, 247, 741

Divisors of 73

List of positive integer divisors of 73 that divides 73 without a remainder.

1, 73

Divisors of 689

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

1, 13, 53, 689

Greatest Common Divisior

We found the divisors of 894, 741, 73, 689 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 894, 741, 73, 689 is 1.

Therefore, GCD of numbers 894, 741, 73, 689 is 1

Given Input Data is 894, 741, 73, 689

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

Prime Factorization of 894 is 2 x 3 x 149

Prime Factorization of 741 is 3 x 13 x 19

Prime Factorization of 73 is 73

Prime Factorization of 689 is 13 x 53

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(894, 741) = 220818

GCD(894, 741) = ( 894 x 741 ) / 220818

GCD(894, 741) = 662454 / 220818

GCD(894, 741) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 73

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

LCM(3, 73) = 219

GCD(3, 73) = ( 3 x 73 ) / 219

GCD(3, 73) = 219 / 219

GCD(3, 73) = 1

Step3:

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

GCD of 894, 741, 73, 689 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 681, 224, 57, 706
• GCD of 533, 403, 73, 751
• GCD of 761, 699, 10, 348
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• GCD of 266, 368, 95, 909

1. What is the GCD of 894, 741, 73, 689?

GCD of 894, 741, 73, 689 is 1

2. Where do I get the detailed procedure to find GCD of 894, 741, 73, 689?

You can find a detailed procedure to find GCD of 894, 741, 73, 689 on our page.

3. How to find GCD of 894, 741, 73, 689 on a calculator?

You can find the GCD of 894, 741, 73, 689 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.