GCD of 624, 894, 66, 289 Calculator

Given Input numbers are 624, 894, 66, 289

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

Divisors of 624

List of positive integer divisors of 624 that divides 624 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

Divisors of 894

List of positive integer divisors of 894 that divides 894 without a remainder.

1, 2, 3, 6, 149, 298, 447, 894

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 289

List of positive integer divisors of 289 that divides 289 without a remainder.

1, 17, 289

Greatest Common Divisior

We found the divisors of 624, 894, 66, 289 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 624, 894, 66, 289 is 1.

Therefore, GCD of numbers 624, 894, 66, 289 is 1

Given Input Data is 624, 894, 66, 289

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

Prime Factorization of 624 is 2 x 2 x 2 x 2 x 3 x 13

Prime Factorization of 894 is 2 x 3 x 149

Prime Factorization of 66 is 2 x 3 x 11

Prime Factorization of 289 is 17 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(624, 894) = 92976

GCD(624, 894) = ( 624 x 894 ) / 92976

GCD(624, 894) = 557856 / 92976

GCD(624, 894) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 66

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

LCM(6, 66) = 66

GCD(6, 66) = ( 6 x 66 ) / 66

GCD(6, 66) = 396 / 66

GCD(6, 66) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 289

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

LCM(6, 289) = 1734

GCD(6, 289) = ( 6 x 289 ) / 1734

GCD(6, 289) = 1734 / 1734

GCD(6, 289) = 1

GCD of 624, 894, 66, 289 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 566, 475, 83, 958
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• GCD of 604, 194, 70, 857
• GCD of 544, 218, 71, 930
• GCD of 143, 929, 31, 228

1. What is the GCD of 624, 894, 66, 289?

GCD of 624, 894, 66, 289 is 1

2. Where do I get the detailed procedure to find GCD of 624, 894, 66, 289?

You can find a detailed procedure to find GCD of 624, 894, 66, 289 on our page.

3. How to find GCD of 624, 894, 66, 289 on a calculator?

You can find the GCD of 624, 894, 66, 289 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.