GCD of 624, 582, 350, 694 Calculator

Given Input numbers are 624, 582, 350, 694

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 582

List of positive integer divisors of 582 that divides 582 without a remainder.

1, 2, 3, 6, 97, 194, 291, 582

Divisors of 350

List of positive integer divisors of 350 that divides 350 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

Divisors of 694

List of positive integer divisors of 694 that divides 694 without a remainder.

1, 2, 347, 694

Greatest Common Divisior

We found the divisors of 624, 582, 350, 694 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 624, 582, 350, 694 is 2.

Therefore, GCD of numbers 624, 582, 350, 694 is 2

Given Input Data is 624, 582, 350, 694

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 582 is 2 x 3 x 97

Prime Factorization of 350 is 2 x 5 x 5 x 7

Prime Factorization of 694 is 2 x 347

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 582) = 60528

GCD(624, 582) = ( 624 x 582 ) / 60528

GCD(624, 582) = 363168 / 60528

GCD(624, 582) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 350

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

LCM(6, 350) = 1050

GCD(6, 350) = ( 6 x 350 ) / 1050

GCD(6, 350) = 2100 / 1050

GCD(6, 350) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 694

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

LCM(2, 694) = 694

GCD(2, 694) = ( 2 x 694 ) / 694

GCD(2, 694) = 1388 / 694

GCD(2, 694) = 2

GCD of 624, 582, 350, 694 is 2

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1. What is the GCD of 624, 582, 350, 694?

GCD of 624, 582, 350, 694 is 2

2. Where do I get the detailed procedure to find GCD of 624, 582, 350, 694?

You can find a detailed procedure to find GCD of 624, 582, 350, 694 on our page.

3. How to find GCD of 624, 582, 350, 694 on a calculator?

You can find the GCD of 624, 582, 350, 694 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.