GCD of 678, 600, 989, 509 Calculator

Given Input numbers are 678, 600, 989, 509

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

Divisors of 678

List of positive integer divisors of 678 that divides 678 without a remainder.

1, 2, 3, 6, 113, 226, 339, 678

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

Divisors of 989

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

1, 23, 43, 989

Divisors of 509

List of positive integer divisors of 509 that divides 509 without a remainder.

1, 509

Greatest Common Divisior

We found the divisors of 678, 600, 989, 509 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 678, 600, 989, 509 is 1.

Therefore, GCD of numbers 678, 600, 989, 509 is 1

Given Input Data is 678, 600, 989, 509

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

Prime Factorization of 678 is 2 x 3 x 113

Prime Factorization of 600 is 2 x 2 x 2 x 3 x 5 x 5

Prime Factorization of 989 is 23 x 43

Prime Factorization of 509 is 509

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(678, 600) = 67800

GCD(678, 600) = ( 678 x 600 ) / 67800

GCD(678, 600) = 406800 / 67800

GCD(678, 600) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 989

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

LCM(6, 989) = 5934

GCD(6, 989) = ( 6 x 989 ) / 5934

GCD(6, 989) = 5934 / 5934

GCD(6, 989) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 509

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

LCM(1, 509) = 509

GCD(1, 509) = ( 1 x 509 ) / 509

GCD(1, 509) = 509 / 509

GCD(1, 509) = 1

GCD of 678, 600, 989, 509 is 1

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1. What is the GCD of 678, 600, 989, 509?

GCD of 678, 600, 989, 509 is 1

2. Where do I get the detailed procedure to find GCD of 678, 600, 989, 509?

You can find a detailed procedure to find GCD of 678, 600, 989, 509 on our page.

3. How to find GCD of 678, 600, 989, 509 on a calculator?

You can find the GCD of 678, 600, 989, 509 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.