GCD of 648, 540, 759, 352 Calculator

Given Input numbers are 648, 540, 759, 352

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 540

List of positive integer divisors of 540 that divides 540 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

Divisors of 759

List of positive integer divisors of 759 that divides 759 without a remainder.

1, 3, 11, 23, 33, 69, 253, 759

Divisors of 352

List of positive integer divisors of 352 that divides 352 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

Greatest Common Divisior

We found the divisors of 648, 540, 759, 352 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 648, 540, 759, 352 is 1.

Therefore, GCD of numbers 648, 540, 759, 352 is 1

Given Input Data is 648, 540, 759, 352

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 540 is 2 x 2 x 3 x 3 x 3 x 5

Prime Factorization of 759 is 3 x 11 x 23

Prime Factorization of 352 is 2 x 2 x 2 x 2 x 2 x 11

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, 540) = 3240

GCD(648, 540) = ( 648 x 540 ) / 3240

GCD(648, 540) = 349920 / 3240

GCD(648, 540) = 108

Step2:

Here we consider the GCD from the above i.e. 108 as first number and the next as 759

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

LCM(108, 759) = 27324

GCD(108, 759) = ( 108 x 759 ) / 27324

GCD(108, 759) = 81972 / 27324

GCD(108, 759) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 352

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

LCM(3, 352) = 1056

GCD(3, 352) = ( 3 x 352 ) / 1056

GCD(3, 352) = 1056 / 1056

GCD(3, 352) = 1

GCD of 648, 540, 759, 352 is 1

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• GCD of 588, 134, 954, 195
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1. What is the GCD of 648, 540, 759, 352?

GCD of 648, 540, 759, 352 is 1

2. Where do I get the detailed procedure to find GCD of 648, 540, 759, 352?

You can find a detailed procedure to find GCD of 648, 540, 759, 352 on our page.

3. How to find GCD of 648, 540, 759, 352 on a calculator?

You can find the GCD of 648, 540, 759, 352 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.