GCD of 675, 918, 66, 437 Calculator

Given Input numbers are 675, 918, 66, 437

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

Divisors of 675

List of positive integer divisors of 675 that divides 675 without a remainder.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

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

Divisors of 66

List of positive integer divisors of 66 that divides 66 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66

Divisors of 437

List of positive integer divisors of 437 that divides 437 without a remainder.

1, 19, 23, 437

Greatest Common Divisior

We found the divisors of 675, 918, 66, 437 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 675, 918, 66, 437 is 1.

Therefore, GCD of numbers 675, 918, 66, 437 is 1

Given Input Data is 675, 918, 66, 437

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

Prime Factorization of 675 is 3 x 3 x 3 x 5 x 5

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

Prime Factorization of 66 is 2 x 3 x 11

Prime Factorization of 437 is 19 x 23

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(675, 918) = 22950

GCD(675, 918) = ( 675 x 918 ) / 22950

GCD(675, 918) = 619650 / 22950

GCD(675, 918) = 27

Step2:

Here we consider the GCD from the above i.e. 27 as first number and the next as 66

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

LCM(27, 66) = 594

GCD(27, 66) = ( 27 x 66 ) / 594

GCD(27, 66) = 1782 / 594

GCD(27, 66) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 437

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

LCM(3, 437) = 1311

GCD(3, 437) = ( 3 x 437 ) / 1311

GCD(3, 437) = 1311 / 1311

GCD(3, 437) = 1

GCD of 675, 918, 66, 437 is 1

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• GCD of 442, 743, 19, 656
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1. What is the GCD of 675, 918, 66, 437?

GCD of 675, 918, 66, 437 is 1

2. Where do I get the detailed procedure to find GCD of 675, 918, 66, 437?

You can find a detailed procedure to find GCD of 675, 918, 66, 437 on our page.

3. How to find GCD of 675, 918, 66, 437 on a calculator?

You can find the GCD of 675, 918, 66, 437 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.