GCD of 653, 699, 320, 192 Calculator

Given Input numbers are 653, 699, 320, 192

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 699

List of positive integer divisors of 699 that divides 699 without a remainder.

1, 3, 233, 699

Divisors of 320

List of positive integer divisors of 320 that divides 320 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Divisors of 192

List of positive integer divisors of 192 that divides 192 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

Greatest Common Divisior

We found the divisors of 653, 699, 320, 192 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 653, 699, 320, 192 is 1.

Therefore, GCD of numbers 653, 699, 320, 192 is 1

Given Input Data is 653, 699, 320, 192

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

Prime Factorization of 653 is 653

Prime Factorization of 699 is 3 x 233

Prime Factorization of 320 is 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 192 is 2 x 2 x 2 x 2 x 2 x 2 x 3

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, 699) = 456447

GCD(653, 699) = ( 653 x 699 ) / 456447

GCD(653, 699) = 456447 / 456447

GCD(653, 699) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 320

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

LCM(1, 320) = 320

GCD(1, 320) = ( 1 x 320 ) / 320

GCD(1, 320) = 320 / 320

GCD(1, 320) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 192

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

LCM(1, 192) = 192

GCD(1, 192) = ( 1 x 192 ) / 192

GCD(1, 192) = 192 / 192

GCD(1, 192) = 1

GCD of 653, 699, 320, 192 is 1

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1. What is the GCD of 653, 699, 320, 192?

GCD of 653, 699, 320, 192 is 1

2. Where do I get the detailed procedure to find GCD of 653, 699, 320, 192?

You can find a detailed procedure to find GCD of 653, 699, 320, 192 on our page.

3. How to find GCD of 653, 699, 320, 192 on a calculator?

You can find the GCD of 653, 699, 320, 192 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.