GCD of 30, 209, 454, 702 Calculator

Given Input numbers are 30, 209, 454, 702

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 209

List of positive integer divisors of 209 that divides 209 without a remainder.

1, 11, 19, 209

Divisors of 454

List of positive integer divisors of 454 that divides 454 without a remainder.

1, 2, 227, 454

Divisors of 702

List of positive integer divisors of 702 that divides 702 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

Greatest Common Divisior

We found the divisors of 30, 209, 454, 702 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 30, 209, 454, 702 is 1.

Therefore, GCD of numbers 30, 209, 454, 702 is 1

Given Input Data is 30, 209, 454, 702

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 209 is 11 x 19

Prime Factorization of 454 is 2 x 227

Prime Factorization of 702 is 2 x 3 x 3 x 3 x 13

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, 209) = 6270

GCD(30, 209) = ( 30 x 209 ) / 6270

GCD(30, 209) = 6270 / 6270

GCD(30, 209) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 454

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

LCM(1, 454) = 454

GCD(1, 454) = ( 1 x 454 ) / 454

GCD(1, 454) = 454 / 454

GCD(1, 454) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 702

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

LCM(1, 702) = 702

GCD(1, 702) = ( 1 x 702 ) / 702

GCD(1, 702) = 702 / 702

GCD(1, 702) = 1

GCD of 30, 209, 454, 702 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 27, 170, 291, 585
• GCD of 12, 161, 871, 779
• GCD of 87, 139, 726, 908
• GCD of 38, 669, 401, 620
• GCD of 51, 208, 942, 524

1. What is the GCD of 30, 209, 454, 702?

GCD of 30, 209, 454, 702 is 1

2. Where do I get the detailed procedure to find GCD of 30, 209, 454, 702?

You can find a detailed procedure to find GCD of 30, 209, 454, 702 on our page.

3. How to find GCD of 30, 209, 454, 702 on a calculator?

You can find the GCD of 30, 209, 454, 702 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.