GCD of 720, 325, 975, 476 Calculator

Given Input numbers are 720, 325, 975, 476

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 325

List of positive integer divisors of 325 that divides 325 without a remainder.

1, 5, 13, 25, 65, 325

Divisors of 975

List of positive integer divisors of 975 that divides 975 without a remainder.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Divisors of 476

List of positive integer divisors of 476 that divides 476 without a remainder.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

Greatest Common Divisior

We found the divisors of 720, 325, 975, 476 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 720, 325, 975, 476 is 1.

Therefore, GCD of numbers 720, 325, 975, 476 is 1

Given Input Data is 720, 325, 975, 476

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 325 is 5 x 5 x 13

Prime Factorization of 975 is 3 x 5 x 5 x 13

Prime Factorization of 476 is 2 x 2 x 7 x 17

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, 325) = 46800

GCD(720, 325) = ( 720 x 325 ) / 46800

GCD(720, 325) = 234000 / 46800

GCD(720, 325) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 975

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

LCM(5, 975) = 975

GCD(5, 975) = ( 5 x 975 ) / 975

GCD(5, 975) = 4875 / 975

GCD(5, 975) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 476

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

LCM(5, 476) = 2380

GCD(5, 476) = ( 5 x 476 ) / 2380

GCD(5, 476) = 2380 / 2380

GCD(5, 476) = 1

GCD of 720, 325, 975, 476 is 1

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1. What is the GCD of 720, 325, 975, 476?

GCD of 720, 325, 975, 476 is 1

2. Where do I get the detailed procedure to find GCD of 720, 325, 975, 476?

You can find a detailed procedure to find GCD of 720, 325, 975, 476 on our page.

3. How to find GCD of 720, 325, 975, 476 on a calculator?

You can find the GCD of 720, 325, 975, 476 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.