GCD of 72, 746, 648, 559 Calculator

Given Input numbers are 72, 746, 648, 559

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

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 746

List of positive integer divisors of 746 that divides 746 without a remainder.

1, 2, 373, 746

Divisors of 648

List of positive integer divisors of 648 that divides 648 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Divisors of 559

List of positive integer divisors of 559 that divides 559 without a remainder.

1, 13, 43, 559

Greatest Common Divisior

We found the divisors of 72, 746, 648, 559 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 72, 746, 648, 559 is 1.

Therefore, GCD of numbers 72, 746, 648, 559 is 1

Given Input Data is 72, 746, 648, 559

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

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 746 is 2 x 373

Prime Factorization of 648 is 2 x 2 x 2 x 3 x 3 x 3 x 3

Prime Factorization of 559 is 13 x 43

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(72, 746) = 26856

GCD(72, 746) = ( 72 x 746 ) / 26856

GCD(72, 746) = 53712 / 26856

GCD(72, 746) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 648

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

LCM(2, 648) = 648

GCD(2, 648) = ( 2 x 648 ) / 648

GCD(2, 648) = 1296 / 648

GCD(2, 648) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 559

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

LCM(2, 559) = 1118

GCD(2, 559) = ( 2 x 559 ) / 1118

GCD(2, 559) = 1118 / 1118

GCD(2, 559) = 1

GCD of 72, 746, 648, 559 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 75, 276, 353, 690
• GCD of 36, 696, 117, 594
• GCD of 43, 361, 641, 254
• GCD of 42, 751, 447, 694
• GCD of 28, 424, 871, 112

1. What is the GCD of 72, 746, 648, 559?

GCD of 72, 746, 648, 559 is 1

2. Where do I get the detailed procedure to find GCD of 72, 746, 648, 559?

You can find a detailed procedure to find GCD of 72, 746, 648, 559 on our page.

3. How to find GCD of 72, 746, 648, 559 on a calculator?

You can find the GCD of 72, 746, 648, 559 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.