GCD of 901, 561, 648, 918 Calculator

Given Input numbers are 901, 561, 648, 918

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

Divisors of 901

List of positive integer divisors of 901 that divides 901 without a remainder.

1, 17, 53, 901

Divisors of 561

List of positive integer divisors of 561 that divides 561 without a remainder.

1, 3, 11, 17, 33, 51, 187, 561

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 918

List of positive integer divisors of 918 that divides 918 without a remainder.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

Greatest Common Divisior

We found the divisors of 901, 561, 648, 918 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 901, 561, 648, 918 is 1.

Therefore, GCD of numbers 901, 561, 648, 918 is 1

Given Input Data is 901, 561, 648, 918

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

Prime Factorization of 901 is 17 x 53

Prime Factorization of 561 is 3 x 11 x 17

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

Prime Factorization of 918 is 2 x 3 x 3 x 3 x 17

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(901, 561) = 29733

GCD(901, 561) = ( 901 x 561 ) / 29733

GCD(901, 561) = 505461 / 29733

GCD(901, 561) = 17

Step2:

Here we consider the GCD from the above i.e. 17 as first number and the next as 648

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

LCM(17, 648) = 11016

GCD(17, 648) = ( 17 x 648 ) / 11016

GCD(17, 648) = 11016 / 11016

GCD(17, 648) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 918

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

LCM(1, 918) = 918

GCD(1, 918) = ( 1 x 918 ) / 918

GCD(1, 918) = 918 / 918

GCD(1, 918) = 1

GCD of 901, 561, 648, 918 is 1

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• GCD of 666, 512, 820, 737

1. What is the GCD of 901, 561, 648, 918?

GCD of 901, 561, 648, 918 is 1

2. Where do I get the detailed procedure to find GCD of 901, 561, 648, 918?

You can find a detailed procedure to find GCD of 901, 561, 648, 918 on our page.

3. How to find GCD of 901, 561, 648, 918 on a calculator?

You can find the GCD of 901, 561, 648, 918 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.