GCD of 182, 728, 700, 453 Calculator

Given Input numbers are 182, 728, 700, 453

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 728

List of positive integer divisors of 728 that divides 728 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 700

List of positive integer divisors of 700 that divides 700 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Divisors of 453

List of positive integer divisors of 453 that divides 453 without a remainder.

1, 3, 151, 453

Greatest Common Divisior

We found the divisors of 182, 728, 700, 453 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 182, 728, 700, 453 is 1.

Therefore, GCD of numbers 182, 728, 700, 453 is 1

Given Input Data is 182, 728, 700, 453

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 728 is 2 x 2 x 2 x 7 x 13

Prime Factorization of 700 is 2 x 2 x 5 x 5 x 7

Prime Factorization of 453 is 3 x 151

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, 728) = 728

GCD(182, 728) = ( 182 x 728 ) / 728

GCD(182, 728) = 132496 / 728

GCD(182, 728) = 182

Step2:

Here we consider the GCD from the above i.e. 182 as first number and the next as 700

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

LCM(182, 700) = 9100

GCD(182, 700) = ( 182 x 700 ) / 9100

GCD(182, 700) = 127400 / 9100

GCD(182, 700) = 14

Step3:

Here we consider the GCD from the above i.e. 14 as first number and the next as 453

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

LCM(14, 453) = 6342

GCD(14, 453) = ( 14 x 453 ) / 6342

GCD(14, 453) = 6342 / 6342

GCD(14, 453) = 1

GCD of 182, 728, 700, 453 is 1

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1. What is the GCD of 182, 728, 700, 453?

GCD of 182, 728, 700, 453 is 1

2. Where do I get the detailed procedure to find GCD of 182, 728, 700, 453?

You can find a detailed procedure to find GCD of 182, 728, 700, 453 on our page.

3. How to find GCD of 182, 728, 700, 453 on a calculator?

You can find the GCD of 182, 728, 700, 453 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.