GCD of 480, 989, 810, 600 Calculator

Given Input numbers are 480, 989, 810, 600

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

Divisors of 480

List of positive integer divisors of 480 that divides 480 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

Divisors of 989

List of positive integer divisors of 989 that divides 989 without a remainder.

1, 23, 43, 989

Divisors of 810

List of positive integer divisors of 810 that divides 810 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

Divisors of 600

List of positive integer divisors of 600 that divides 600 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Greatest Common Divisior

We found the divisors of 480, 989, 810, 600 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 480, 989, 810, 600 is 1.

Therefore, GCD of numbers 480, 989, 810, 600 is 1

Given Input Data is 480, 989, 810, 600

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

Prime Factorization of 480 is 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 989 is 23 x 43

Prime Factorization of 810 is 2 x 3 x 3 x 3 x 3 x 5

Prime Factorization of 600 is 2 x 2 x 2 x 3 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(480, 989) = 474720

GCD(480, 989) = ( 480 x 989 ) / 474720

GCD(480, 989) = 474720 / 474720

GCD(480, 989) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 810

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

LCM(1, 810) = 810

GCD(1, 810) = ( 1 x 810 ) / 810

GCD(1, 810) = 810 / 810

GCD(1, 810) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 600

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

LCM(1, 600) = 600

GCD(1, 600) = ( 1 x 600 ) / 600

GCD(1, 600) = 600 / 600

GCD(1, 600) = 1

GCD of 480, 989, 810, 600 is 1

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1. What is the GCD of 480, 989, 810, 600?

GCD of 480, 989, 810, 600 is 1

2. Where do I get the detailed procedure to find GCD of 480, 989, 810, 600?

You can find a detailed procedure to find GCD of 480, 989, 810, 600 on our page.

3. How to find GCD of 480, 989, 810, 600 on a calculator?

You can find the GCD of 480, 989, 810, 600 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.