GCD of 720, 375, 51, 232 Calculator

Given Input numbers are 720, 375, 51, 232

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 375

List of positive integer divisors of 375 that divides 375 without a remainder.

1, 3, 5, 15, 25, 75, 125, 375

Divisors of 51

List of positive integer divisors of 51 that divides 51 without a remainder.

1, 3, 17, 51

Divisors of 232

List of positive integer divisors of 232 that divides 232 without a remainder.

1, 2, 4, 8, 29, 58, 116, 232

Greatest Common Divisior

We found the divisors of 720, 375, 51, 232 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 720, 375, 51, 232 is 1.

Therefore, GCD of numbers 720, 375, 51, 232 is 1

Given Input Data is 720, 375, 51, 232

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 375 is 3 x 5 x 5 x 5

Prime Factorization of 51 is 3 x 17

Prime Factorization of 232 is 2 x 2 x 2 x 29

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(720, 375) = 18000

GCD(720, 375) = ( 720 x 375 ) / 18000

GCD(720, 375) = 270000 / 18000

GCD(720, 375) = 15

Step2:

Here we consider the GCD from the above i.e. 15 as first number and the next as 51

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

LCM(15, 51) = 255

GCD(15, 51) = ( 15 x 51 ) / 255

GCD(15, 51) = 765 / 255

GCD(15, 51) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 232

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

LCM(3, 232) = 696

GCD(3, 232) = ( 3 x 232 ) / 696

GCD(3, 232) = 696 / 696

GCD(3, 232) = 1

GCD of 720, 375, 51, 232 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 945, 524, 82, 739
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• GCD of 484, 875, 60, 869
• GCD of 889, 702, 18, 419
• GCD of 471, 343, 82, 582

1. What is the GCD of 720, 375, 51, 232?

GCD of 720, 375, 51, 232 is 1

2. Where do I get the detailed procedure to find GCD of 720, 375, 51, 232?

You can find a detailed procedure to find GCD of 720, 375, 51, 232 on our page.

3. How to find GCD of 720, 375, 51, 232 on a calculator?

You can find the GCD of 720, 375, 51, 232 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.