GCD of 192, 240, 725, 662 Calculator

Given Input numbers are 192, 240, 725, 662

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

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

Divisors of 240

List of positive integer divisors of 240 that divides 240 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Divisors of 725

List of positive integer divisors of 725 that divides 725 without a remainder.

1, 5, 25, 29, 145, 725

Divisors of 662

List of positive integer divisors of 662 that divides 662 without a remainder.

1, 2, 331, 662

Greatest Common Divisior

We found the divisors of 192, 240, 725, 662 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 192, 240, 725, 662 is 1.

Therefore, GCD of numbers 192, 240, 725, 662 is 1

Given Input Data is 192, 240, 725, 662

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

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

Prime Factorization of 240 is 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 725 is 5 x 5 x 29

Prime Factorization of 662 is 2 x 331

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(192, 240) = 960

GCD(192, 240) = ( 192 x 240 ) / 960

GCD(192, 240) = 46080 / 960

GCD(192, 240) = 48

Step2:

Here we consider the GCD from the above i.e. 48 as first number and the next as 725

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

LCM(48, 725) = 34800

GCD(48, 725) = ( 48 x 725 ) / 34800

GCD(48, 725) = 34800 / 34800

GCD(48, 725) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 662

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

LCM(1, 662) = 662

GCD(1, 662) = ( 1 x 662 ) / 662

GCD(1, 662) = 662 / 662

GCD(1, 662) = 1

GCD of 192, 240, 725, 662 is 1

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1. What is the GCD of 192, 240, 725, 662?

GCD of 192, 240, 725, 662 is 1

2. Where do I get the detailed procedure to find GCD of 192, 240, 725, 662?

You can find a detailed procedure to find GCD of 192, 240, 725, 662 on our page.

3. How to find GCD of 192, 240, 725, 662 on a calculator?

You can find the GCD of 192, 240, 725, 662 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.