GCD of 693, 195, 72, 286 Calculator

Given Input numbers are 693, 195, 72, 286

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

Divisors of 693

List of positive integer divisors of 693 that divides 693 without a remainder.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

Divisors of 195

List of positive integer divisors of 195 that divides 195 without a remainder.

1, 3, 5, 13, 15, 39, 65, 195

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 286

List of positive integer divisors of 286 that divides 286 without a remainder.

1, 2, 11, 13, 22, 26, 143, 286

Greatest Common Divisior

We found the divisors of 693, 195, 72, 286 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 693, 195, 72, 286 is 1.

Therefore, GCD of numbers 693, 195, 72, 286 is 1

Given Input Data is 693, 195, 72, 286

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

Prime Factorization of 693 is 3 x 3 x 7 x 11

Prime Factorization of 195 is 3 x 5 x 13

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 286 is 2 x 11 x 13

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(693, 195) = 45045

GCD(693, 195) = ( 693 x 195 ) / 45045

GCD(693, 195) = 135135 / 45045

GCD(693, 195) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 72

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

LCM(3, 72) = 72

GCD(3, 72) = ( 3 x 72 ) / 72

GCD(3, 72) = 216 / 72

GCD(3, 72) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 286

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

LCM(3, 286) = 858

GCD(3, 286) = ( 3 x 286 ) / 858

GCD(3, 286) = 858 / 858

GCD(3, 286) = 1

GCD of 693, 195, 72, 286 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 891, 340, 89, 303
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• GCD of 584, 519, 37, 136
• GCD of 370, 483, 81, 845
• GCD of 561, 930, 74, 839

1. What is the GCD of 693, 195, 72, 286?

GCD of 693, 195, 72, 286 is 1

2. Where do I get the detailed procedure to find GCD of 693, 195, 72, 286?

You can find a detailed procedure to find GCD of 693, 195, 72, 286 on our page.

3. How to find GCD of 693, 195, 72, 286 on a calculator?

You can find the GCD of 693, 195, 72, 286 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.