GCD of 648, 786, 45, 533 Calculator

Given Input numbers are 648, 786, 45, 533

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 786

List of positive integer divisors of 786 that divides 786 without a remainder.

1, 2, 3, 6, 131, 262, 393, 786

Divisors of 45

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

1, 3, 5, 9, 15, 45

Divisors of 533

List of positive integer divisors of 533 that divides 533 without a remainder.

1, 13, 41, 533

Greatest Common Divisior

We found the divisors of 648, 786, 45, 533 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 648, 786, 45, 533 is 1.

Therefore, GCD of numbers 648, 786, 45, 533 is 1

Given Input Data is 648, 786, 45, 533

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 786 is 2 x 3 x 131

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 533 is 13 x 41

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, 786) = 84888

GCD(648, 786) = ( 648 x 786 ) / 84888

GCD(648, 786) = 509328 / 84888

GCD(648, 786) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 45

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

LCM(6, 45) = 90

GCD(6, 45) = ( 6 x 45 ) / 90

GCD(6, 45) = 270 / 90

GCD(6, 45) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 533

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

LCM(3, 533) = 1599

GCD(3, 533) = ( 3 x 533 ) / 1599

GCD(3, 533) = 1599 / 1599

GCD(3, 533) = 1

GCD of 648, 786, 45, 533 is 1

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• GCD of 274, 998, 59, 132
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1. What is the GCD of 648, 786, 45, 533?

GCD of 648, 786, 45, 533 is 1

2. Where do I get the detailed procedure to find GCD of 648, 786, 45, 533?

You can find a detailed procedure to find GCD of 648, 786, 45, 533 on our page.

3. How to find GCD of 648, 786, 45, 533 on a calculator?

You can find the GCD of 648, 786, 45, 533 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.