GCD of 734, 180, 42, 125 Calculator

Given Input numbers are 734, 180, 42, 125

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

Divisors of 734

List of positive integer divisors of 734 that divides 734 without a remainder.

1, 2, 367, 734

Divisors of 180

List of positive integer divisors of 180 that divides 180 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 125

List of positive integer divisors of 125 that divides 125 without a remainder.

1, 5, 25, 125

Greatest Common Divisior

We found the divisors of 734, 180, 42, 125 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 734, 180, 42, 125 is 1.

Therefore, GCD of numbers 734, 180, 42, 125 is 1

Given Input Data is 734, 180, 42, 125

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

Prime Factorization of 734 is 2 x 367

Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 125 is 5 x 5 x 5

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(734, 180) = 66060

GCD(734, 180) = ( 734 x 180 ) / 66060

GCD(734, 180) = 132120 / 66060

GCD(734, 180) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 42

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

LCM(2, 42) = 42

GCD(2, 42) = ( 2 x 42 ) / 42

GCD(2, 42) = 84 / 42

GCD(2, 42) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 125

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

LCM(2, 125) = 250

GCD(2, 125) = ( 2 x 125 ) / 250

GCD(2, 125) = 250 / 250

GCD(2, 125) = 1

GCD of 734, 180, 42, 125 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 733, 390, 62, 350
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• GCD of 120, 151, 76, 458

1. What is the GCD of 734, 180, 42, 125?

GCD of 734, 180, 42, 125 is 1

2. Where do I get the detailed procedure to find GCD of 734, 180, 42, 125?

You can find a detailed procedure to find GCD of 734, 180, 42, 125 on our page.

3. How to find GCD of 734, 180, 42, 125 on a calculator?

You can find the GCD of 734, 180, 42, 125 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.