GCD of 747, 288, 720, 625 Calculator

Given Input numbers are 747, 288, 720, 625

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

Divisors of 747

List of positive integer divisors of 747 that divides 747 without a remainder.

1, 3, 9, 83, 249, 747

Divisors of 288

List of positive integer divisors of 288 that divides 288 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

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 625

List of positive integer divisors of 625 that divides 625 without a remainder.

1, 5, 25, 125, 625

Greatest Common Divisior

We found the divisors of 747, 288, 720, 625 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 747, 288, 720, 625 is 1.

Therefore, GCD of numbers 747, 288, 720, 625 is 1

Given Input Data is 747, 288, 720, 625

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

Prime Factorization of 747 is 3 x 3 x 83

Prime Factorization of 288 is 2 x 2 x 2 x 2 x 2 x 3 x 3

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

Prime Factorization of 625 is 5 x 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(747, 288) = 23904

GCD(747, 288) = ( 747 x 288 ) / 23904

GCD(747, 288) = 215136 / 23904

GCD(747, 288) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 720

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

LCM(9, 720) = 720

GCD(9, 720) = ( 9 x 720 ) / 720

GCD(9, 720) = 6480 / 720

GCD(9, 720) = 9

Step3:

Here we consider the GCD from the above i.e. 9 as first number and the next as 625

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

LCM(9, 625) = 5625

GCD(9, 625) = ( 9 x 625 ) / 5625

GCD(9, 625) = 5625 / 5625

GCD(9, 625) = 1

GCD of 747, 288, 720, 625 is 1

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1. What is the GCD of 747, 288, 720, 625?

GCD of 747, 288, 720, 625 is 1

2. Where do I get the detailed procedure to find GCD of 747, 288, 720, 625?

You can find a detailed procedure to find GCD of 747, 288, 720, 625 on our page.

3. How to find GCD of 747, 288, 720, 625 on a calculator?

You can find the GCD of 747, 288, 720, 625 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.