GCD of 717, 462, 168, 186 Calculator

Given Input numbers are 717, 462, 168, 186

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

Divisors of 717

List of positive integer divisors of 717 that divides 717 without a remainder.

1, 3, 239, 717

Divisors of 462

List of positive integer divisors of 462 that divides 462 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Divisors of 168

List of positive integer divisors of 168 that divides 168 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

Divisors of 186

List of positive integer divisors of 186 that divides 186 without a remainder.

1, 2, 3, 6, 31, 62, 93, 186

Greatest Common Divisior

We found the divisors of 717, 462, 168, 186 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 717, 462, 168, 186 is 3.

Therefore, GCD of numbers 717, 462, 168, 186 is 3

Given Input Data is 717, 462, 168, 186

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

Prime Factorization of 717 is 3 x 239

Prime Factorization of 462 is 2 x 3 x 7 x 11

Prime Factorization of 168 is 2 x 2 x 2 x 3 x 7

Prime Factorization of 186 is 2 x 3 x 31

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(717, 462) = 110418

GCD(717, 462) = ( 717 x 462 ) / 110418

GCD(717, 462) = 331254 / 110418

GCD(717, 462) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 168

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

LCM(3, 168) = 168

GCD(3, 168) = ( 3 x 168 ) / 168

GCD(3, 168) = 504 / 168

GCD(3, 168) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 186

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

LCM(3, 186) = 186

GCD(3, 186) = ( 3 x 186 ) / 186

GCD(3, 186) = 558 / 186

GCD(3, 186) = 3

GCD of 717, 462, 168, 186 is 3

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• GCD of 442, 565, 754, 700
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1. What is the GCD of 717, 462, 168, 186?

GCD of 717, 462, 168, 186 is 3

2. Where do I get the detailed procedure to find GCD of 717, 462, 168, 186?

You can find a detailed procedure to find GCD of 717, 462, 168, 186 on our page.

3. How to find GCD of 717, 462, 168, 186 on a calculator?

You can find the GCD of 717, 462, 168, 186 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.