GCD of 653, 200, 92, 728 Calculator

Given Input numbers are 653, 200, 92, 728

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

Divisors of 653

List of positive integer divisors of 653 that divides 653 without a remainder.

1, 653

Divisors of 200

List of positive integer divisors of 200 that divides 200 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Divisors of 92

List of positive integer divisors of 92 that divides 92 without a remainder.

1, 2, 4, 23, 46, 92

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

Greatest Common Divisior

We found the divisors of 653, 200, 92, 728 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 653, 200, 92, 728 is 1.

Therefore, GCD of numbers 653, 200, 92, 728 is 1

Given Input Data is 653, 200, 92, 728

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

Prime Factorization of 653 is 653

Prime Factorization of 200 is 2 x 2 x 2 x 5 x 5

Prime Factorization of 92 is 2 x 2 x 23

Prime Factorization of 728 is 2 x 2 x 2 x 7 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(653, 200) = 130600

GCD(653, 200) = ( 653 x 200 ) / 130600

GCD(653, 200) = 130600 / 130600

GCD(653, 200) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 92

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

LCM(1, 92) = 92

GCD(1, 92) = ( 1 x 92 ) / 92

GCD(1, 92) = 92 / 92

GCD(1, 92) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 728

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

LCM(1, 728) = 728

GCD(1, 728) = ( 1 x 728 ) / 728

GCD(1, 728) = 728 / 728

GCD(1, 728) = 1

GCD of 653, 200, 92, 728 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 839, 146, 66, 269
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• GCD of 101, 920, 79, 179

1. What is the GCD of 653, 200, 92, 728?

GCD of 653, 200, 92, 728 is 1

2. Where do I get the detailed procedure to find GCD of 653, 200, 92, 728?

You can find a detailed procedure to find GCD of 653, 200, 92, 728 on our page.

3. How to find GCD of 653, 200, 92, 728 on a calculator?

You can find the GCD of 653, 200, 92, 728 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.