GCD of 728, 840, 66, 753 Calculator

Given Input numbers are 728, 840, 66, 753

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 840

List of positive integer divisors of 840 that divides 840 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

Divisors of 66

List of positive integer divisors of 66 that divides 66 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66

Divisors of 753

List of positive integer divisors of 753 that divides 753 without a remainder.

1, 3, 251, 753

Greatest Common Divisior

We found the divisors of 728, 840, 66, 753 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 728, 840, 66, 753 is 1.

Therefore, GCD of numbers 728, 840, 66, 753 is 1

Given Input Data is 728, 840, 66, 753

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 840 is 2 x 2 x 2 x 3 x 5 x 7

Prime Factorization of 66 is 2 x 3 x 11

Prime Factorization of 753 is 3 x 251

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, 840) = 10920

GCD(728, 840) = ( 728 x 840 ) / 10920

GCD(728, 840) = 611520 / 10920

GCD(728, 840) = 56

Step2:

Here we consider the GCD from the above i.e. 56 as first number and the next as 66

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

LCM(56, 66) = 1848

GCD(56, 66) = ( 56 x 66 ) / 1848

GCD(56, 66) = 3696 / 1848

GCD(56, 66) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 753

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

LCM(2, 753) = 1506

GCD(2, 753) = ( 2 x 753 ) / 1506

GCD(2, 753) = 1506 / 1506

GCD(2, 753) = 1

GCD of 728, 840, 66, 753 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 228, 501, 38, 232
• GCD of 220, 354, 20, 184
• GCD of 315, 450, 94, 282
• GCD of 996, 391, 35, 547
• GCD of 782, 335, 66, 395

1. What is the GCD of 728, 840, 66, 753?

GCD of 728, 840, 66, 753 is 1

2. Where do I get the detailed procedure to find GCD of 728, 840, 66, 753?

You can find a detailed procedure to find GCD of 728, 840, 66, 753 on our page.

3. How to find GCD of 728, 840, 66, 753 on a calculator?

You can find the GCD of 728, 840, 66, 753 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.