GCD of 720, 374, 872, 298 Calculator

Given Input numbers are 720, 374, 872, 298

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

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 374

List of positive integer divisors of 374 that divides 374 without a remainder.

1, 2, 11, 17, 22, 34, 187, 374

Divisors of 872

List of positive integer divisors of 872 that divides 872 without a remainder.

1, 2, 4, 8, 109, 218, 436, 872

Divisors of 298

List of positive integer divisors of 298 that divides 298 without a remainder.

1, 2, 149, 298

Greatest Common Divisior

We found the divisors of 720, 374, 872, 298 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 720, 374, 872, 298 is 2.

Therefore, GCD of numbers 720, 374, 872, 298 is 2

Given Input Data is 720, 374, 872, 298

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

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

Prime Factorization of 374 is 2 x 11 x 17

Prime Factorization of 872 is 2 x 2 x 2 x 109

Prime Factorization of 298 is 2 x 149

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(720, 374) = 134640

GCD(720, 374) = ( 720 x 374 ) / 134640

GCD(720, 374) = 269280 / 134640

GCD(720, 374) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 872

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

LCM(2, 872) = 872

GCD(2, 872) = ( 2 x 872 ) / 872

GCD(2, 872) = 1744 / 872

GCD(2, 872) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 298

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

LCM(2, 298) = 298

GCD(2, 298) = ( 2 x 298 ) / 298

GCD(2, 298) = 596 / 298

GCD(2, 298) = 2

GCD of 720, 374, 872, 298 is 2

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1. What is the GCD of 720, 374, 872, 298?

GCD of 720, 374, 872, 298 is 2

2. Where do I get the detailed procedure to find GCD of 720, 374, 872, 298?

You can find a detailed procedure to find GCD of 720, 374, 872, 298 on our page.

3. How to find GCD of 720, 374, 872, 298 on a calculator?

You can find the GCD of 720, 374, 872, 298 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.