GCD of 648, 276, 45, 572 Calculator

Given Input numbers are 648, 276, 45, 572

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

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 276

List of positive integer divisors of 276 that divides 276 without a remainder.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Divisors of 572

List of positive integer divisors of 572 that divides 572 without a remainder.

1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

Greatest Common Divisior

We found the divisors of 648, 276, 45, 572 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 648, 276, 45, 572 is 1.

Therefore, GCD of numbers 648, 276, 45, 572 is 1

Given Input Data is 648, 276, 45, 572

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

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

Prime Factorization of 276 is 2 x 2 x 3 x 23

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 572 is 2 x 2 x 11 x 13

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(648, 276) = 14904

GCD(648, 276) = ( 648 x 276 ) / 14904

GCD(648, 276) = 178848 / 14904

GCD(648, 276) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 45

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

LCM(12, 45) = 180

GCD(12, 45) = ( 12 x 45 ) / 180

GCD(12, 45) = 540 / 180

GCD(12, 45) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 572

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

LCM(3, 572) = 1716

GCD(3, 572) = ( 3 x 572 ) / 1716

GCD(3, 572) = 1716 / 1716

GCD(3, 572) = 1

GCD of 648, 276, 45, 572 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 366, 686, 62, 327
• GCD of 620, 251, 88, 597
• GCD of 880, 845, 38, 532
• GCD of 865, 453, 17, 897
• GCD of 515, 738, 97, 876

1. What is the GCD of 648, 276, 45, 572?

GCD of 648, 276, 45, 572 is 1

2. Where do I get the detailed procedure to find GCD of 648, 276, 45, 572?

You can find a detailed procedure to find GCD of 648, 276, 45, 572 on our page.

3. How to find GCD of 648, 276, 45, 572 on a calculator?

You can find the GCD of 648, 276, 45, 572 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.