GCD of 182, 684, 749, 497 Calculator

Given Input numbers are 182, 684, 749, 497

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

Divisors of 182

List of positive integer divisors of 182 that divides 182 without a remainder.

1, 2, 7, 13, 14, 26, 91, 182

Divisors of 684

List of positive integer divisors of 684 that divides 684 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 749

List of positive integer divisors of 749 that divides 749 without a remainder.

1, 7, 107, 749

Divisors of 497

List of positive integer divisors of 497 that divides 497 without a remainder.

1, 7, 71, 497

Greatest Common Divisior

We found the divisors of 182, 684, 749, 497 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 182, 684, 749, 497 is 1.

Therefore, GCD of numbers 182, 684, 749, 497 is 1

Given Input Data is 182, 684, 749, 497

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

Prime Factorization of 182 is 2 x 7 x 13

Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19

Prime Factorization of 749 is 7 x 107

Prime Factorization of 497 is 7 x 71

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(182, 684) = 62244

GCD(182, 684) = ( 182 x 684 ) / 62244

GCD(182, 684) = 124488 / 62244

GCD(182, 684) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 749

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

LCM(2, 749) = 1498

GCD(2, 749) = ( 2 x 749 ) / 1498

GCD(2, 749) = 1498 / 1498

GCD(2, 749) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 497

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

LCM(1, 497) = 497

GCD(1, 497) = ( 1 x 497 ) / 497

GCD(1, 497) = 497 / 497

GCD(1, 497) = 1

GCD of 182, 684, 749, 497 is 1

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1. What is the GCD of 182, 684, 749, 497?

GCD of 182, 684, 749, 497 is 1

2. Where do I get the detailed procedure to find GCD of 182, 684, 749, 497?

You can find a detailed procedure to find GCD of 182, 684, 749, 497 on our page.

3. How to find GCD of 182, 684, 749, 497 on a calculator?

You can find the GCD of 182, 684, 749, 497 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.