GCD of 699, 495, 21, 894 Calculator

Given Input numbers are 699, 495, 21, 894

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

Divisors of 699

List of positive integer divisors of 699 that divides 699 without a remainder.

1, 3, 233, 699

Divisors of 495

List of positive integer divisors of 495 that divides 495 without a remainder.

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 894

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

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

Greatest Common Divisior

We found the divisors of 699, 495, 21, 894 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 699, 495, 21, 894 is 3.

Therefore, GCD of numbers 699, 495, 21, 894 is 3

Given Input Data is 699, 495, 21, 894

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

Prime Factorization of 699 is 3 x 233

Prime Factorization of 495 is 3 x 3 x 5 x 11

Prime Factorization of 21 is 3 x 7

Prime Factorization of 894 is 2 x 3 x 149

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(699, 495) = 115335

GCD(699, 495) = ( 699 x 495 ) / 115335

GCD(699, 495) = 346005 / 115335

GCD(699, 495) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 21

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

LCM(3, 21) = 21

GCD(3, 21) = ( 3 x 21 ) / 21

GCD(3, 21) = 63 / 21

GCD(3, 21) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 894

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

LCM(3, 894) = 894

GCD(3, 894) = ( 3 x 894 ) / 894

GCD(3, 894) = 2682 / 894

GCD(3, 894) = 3

GCD of 699, 495, 21, 894 is 3

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1. What is the GCD of 699, 495, 21, 894?

GCD of 699, 495, 21, 894 is 3

2. Where do I get the detailed procedure to find GCD of 699, 495, 21, 894?

You can find a detailed procedure to find GCD of 699, 495, 21, 894 on our page.

3. How to find GCD of 699, 495, 21, 894 on a calculator?

You can find the GCD of 699, 495, 21, 894 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.