GCD of 728, 821, 737, 678 Calculator

Given Input numbers are 728, 821, 737, 678

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

Divisors of 728

List of positive integer divisors of 728 that divides 728 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 821

List of positive integer divisors of 821 that divides 821 without a remainder.

1, 821

Divisors of 737

List of positive integer divisors of 737 that divides 737 without a remainder.

1, 11, 67, 737

Divisors of 678

List of positive integer divisors of 678 that divides 678 without a remainder.

1, 2, 3, 6, 113, 226, 339, 678

Greatest Common Divisior

We found the divisors of 728, 821, 737, 678 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 728, 821, 737, 678 is 1.

Therefore, GCD of numbers 728, 821, 737, 678 is 1

Given Input Data is 728, 821, 737, 678

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

Prime Factorization of 728 is 2 x 2 x 2 x 7 x 13

Prime Factorization of 821 is 821

Prime Factorization of 737 is 11 x 67

Prime Factorization of 678 is 2 x 3 x 113

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(728, 821) = 597688

GCD(728, 821) = ( 728 x 821 ) / 597688

GCD(728, 821) = 597688 / 597688

GCD(728, 821) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 737

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

LCM(1, 737) = 737

GCD(1, 737) = ( 1 x 737 ) / 737

GCD(1, 737) = 737 / 737

GCD(1, 737) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 678

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

LCM(1, 678) = 678

GCD(1, 678) = ( 1 x 678 ) / 678

GCD(1, 678) = 678 / 678

GCD(1, 678) = 1

GCD of 728, 821, 737, 678 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 503, 556, 645, 489
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• GCD of 320, 250, 792, 860
• GCD of 413, 140, 567, 302

1. What is the GCD of 728, 821, 737, 678?

GCD of 728, 821, 737, 678 is 1

2. Where do I get the detailed procedure to find GCD of 728, 821, 737, 678?

You can find a detailed procedure to find GCD of 728, 821, 737, 678 on our page.

3. How to find GCD of 728, 821, 737, 678 on a calculator?

You can find the GCD of 728, 821, 737, 678 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.