GCD of 30, 700, 185, 684 Calculator

Given Input numbers are 30, 700, 185, 684

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

Divisors of 30

List of positive integer divisors of 30 that divides 30 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30

Divisors of 700

List of positive integer divisors of 700 that divides 700 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Divisors of 185

List of positive integer divisors of 185 that divides 185 without a remainder.

1, 5, 37, 185

Divisors of 684

List of positive integer divisors of 684 that divides 684 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Greatest Common Divisior

We found the divisors of 30, 700, 185, 684 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 30, 700, 185, 684 is 1.

Therefore, GCD of numbers 30, 700, 185, 684 is 1

Given Input Data is 30, 700, 185, 684

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

Prime Factorization of 30 is 2 x 3 x 5

Prime Factorization of 700 is 2 x 2 x 5 x 5 x 7

Prime Factorization of 185 is 5 x 37

Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19

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(30, 700) = 2100

GCD(30, 700) = ( 30 x 700 ) / 2100

GCD(30, 700) = 21000 / 2100

GCD(30, 700) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 185

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

LCM(10, 185) = 370

GCD(10, 185) = ( 10 x 185 ) / 370

GCD(10, 185) = 1850 / 370

GCD(10, 185) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 684

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

LCM(5, 684) = 3420

GCD(5, 684) = ( 5 x 684 ) / 3420

GCD(5, 684) = 3420 / 3420

GCD(5, 684) = 1

GCD of 30, 700, 185, 684 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 36, 695, 529, 732
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• GCD of 38, 828, 384, 170
• GCD of 96, 437, 618, 630

1. What is the GCD of 30, 700, 185, 684?

GCD of 30, 700, 185, 684 is 1

2. Where do I get the detailed procedure to find GCD of 30, 700, 185, 684?

You can find a detailed procedure to find GCD of 30, 700, 185, 684 on our page.

3. How to find GCD of 30, 700, 185, 684 on a calculator?

You can find the GCD of 30, 700, 185, 684 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.