GCD of 72, 360, 342, 425 Calculator

Given Input numbers are 72, 360, 342, 425

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

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 360

List of positive integer divisors of 360 that divides 360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 342

List of positive integer divisors of 342 that divides 342 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 425

List of positive integer divisors of 425 that divides 425 without a remainder.

1, 5, 17, 25, 85, 425

Greatest Common Divisior

We found the divisors of 72, 360, 342, 425 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 72, 360, 342, 425 is 1.

Therefore, GCD of numbers 72, 360, 342, 425 is 1

Given Input Data is 72, 360, 342, 425

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

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5

Prime Factorization of 342 is 2 x 3 x 3 x 19

Prime Factorization of 425 is 5 x 5 x 17

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(72, 360) = 360

GCD(72, 360) = ( 72 x 360 ) / 360

GCD(72, 360) = 25920 / 360

GCD(72, 360) = 72

Step2:

Here we consider the GCD from the above i.e. 72 as first number and the next as 342

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

LCM(72, 342) = 1368

GCD(72, 342) = ( 72 x 342 ) / 1368

GCD(72, 342) = 24624 / 1368

GCD(72, 342) = 18

Step3:

Here we consider the GCD from the above i.e. 18 as first number and the next as 425

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

LCM(18, 425) = 7650

GCD(18, 425) = ( 18 x 425 ) / 7650

GCD(18, 425) = 7650 / 7650

GCD(18, 425) = 1

GCD of 72, 360, 342, 425 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 53, 165, 139, 949
• GCD of 86, 116, 253, 503
• GCD of 51, 837, 621, 390
• GCD of 53, 140, 165, 855
• GCD of 13, 846, 124, 430

1. What is the GCD of 72, 360, 342, 425?

GCD of 72, 360, 342, 425 is 1

2. Where do I get the detailed procedure to find GCD of 72, 360, 342, 425?

You can find a detailed procedure to find GCD of 72, 360, 342, 425 on our page.

3. How to find GCD of 72, 360, 342, 425 on a calculator?

You can find the GCD of 72, 360, 342, 425 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.