GCD of 624, 989, 313, 685 Calculator

Given Input numbers are 624, 989, 313, 685

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

Divisors of 624

List of positive integer divisors of 624 that divides 624 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

Divisors of 989

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

1, 23, 43, 989

Divisors of 313

List of positive integer divisors of 313 that divides 313 without a remainder.

1, 313

Divisors of 685

List of positive integer divisors of 685 that divides 685 without a remainder.

1, 5, 137, 685

Greatest Common Divisior

We found the divisors of 624, 989, 313, 685 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 624, 989, 313, 685 is 1.

Therefore, GCD of numbers 624, 989, 313, 685 is 1

Given Input Data is 624, 989, 313, 685

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

Prime Factorization of 624 is 2 x 2 x 2 x 2 x 3 x 13

Prime Factorization of 989 is 23 x 43

Prime Factorization of 313 is 313

Prime Factorization of 685 is 5 x 137

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(624, 989) = 617136

GCD(624, 989) = ( 624 x 989 ) / 617136

GCD(624, 989) = 617136 / 617136

GCD(624, 989) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 313

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

LCM(1, 313) = 313

GCD(1, 313) = ( 1 x 313 ) / 313

GCD(1, 313) = 313 / 313

GCD(1, 313) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 685

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

LCM(1, 685) = 685

GCD(1, 685) = ( 1 x 685 ) / 685

GCD(1, 685) = 685 / 685

GCD(1, 685) = 1

GCD of 624, 989, 313, 685 is 1

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1. What is the GCD of 624, 989, 313, 685?

GCD of 624, 989, 313, 685 is 1

2. Where do I get the detailed procedure to find GCD of 624, 989, 313, 685?

You can find a detailed procedure to find GCD of 624, 989, 313, 685 on our page.

3. How to find GCD of 624, 989, 313, 685 on a calculator?

You can find the GCD of 624, 989, 313, 685 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.