GCD of 125, 720, 15, 296 Calculator

Given Input numbers are 125, 720, 15, 296

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

Divisors of 125

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

1, 5, 25, 125

Divisors of 720

List of positive integer divisors of 720 that divides 720 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Divisors of 15

List of positive integer divisors of 15 that divides 15 without a remainder.

1, 3, 5, 15

Divisors of 296

List of positive integer divisors of 296 that divides 296 without a remainder.

1, 2, 4, 8, 37, 74, 148, 296

Greatest Common Divisior

We found the divisors of 125, 720, 15, 296 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 125, 720, 15, 296 is 1.

Therefore, GCD of numbers 125, 720, 15, 296 is 1

Given Input Data is 125, 720, 15, 296

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

Prime Factorization of 125 is 5 x 5 x 5

Prime Factorization of 720 is 2 x 2 x 2 x 2 x 3 x 3 x 5

Prime Factorization of 15 is 3 x 5

Prime Factorization of 296 is 2 x 2 x 2 x 37

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(125, 720) = 18000

GCD(125, 720) = ( 125 x 720 ) / 18000

GCD(125, 720) = 90000 / 18000

GCD(125, 720) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 15

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

LCM(5, 15) = 15

GCD(5, 15) = ( 5 x 15 ) / 15

GCD(5, 15) = 75 / 15

GCD(5, 15) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 296

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

LCM(5, 296) = 1480

GCD(5, 296) = ( 5 x 296 ) / 1480

GCD(5, 296) = 1480 / 1480

GCD(5, 296) = 1

GCD of 125, 720, 15, 296 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 209, 173, 46, 374
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• GCD of 105, 966, 16, 171
• GCD of 505, 812, 88, 587
• GCD of 180, 315, 96, 109

1. What is the GCD of 125, 720, 15, 296?

GCD of 125, 720, 15, 296 is 1

2. Where do I get the detailed procedure to find GCD of 125, 720, 15, 296?

You can find a detailed procedure to find GCD of 125, 720, 15, 296 on our page.

3. How to find GCD of 125, 720, 15, 296 on a calculator?

You can find the GCD of 125, 720, 15, 296 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.