GCD of 30, 402, 359, 712 Calculator

Given Input numbers are 30, 402, 359, 712

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 402

List of positive integer divisors of 402 that divides 402 without a remainder.

1, 2, 3, 6, 67, 134, 201, 402

Divisors of 359

List of positive integer divisors of 359 that divides 359 without a remainder.

1, 359

Divisors of 712

List of positive integer divisors of 712 that divides 712 without a remainder.

1, 2, 4, 8, 89, 178, 356, 712

Greatest Common Divisior

We found the divisors of 30, 402, 359, 712 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 30, 402, 359, 712 is 1.

Therefore, GCD of numbers 30, 402, 359, 712 is 1

Given Input Data is 30, 402, 359, 712

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 402 is 2 x 3 x 67

Prime Factorization of 359 is 359

Prime Factorization of 712 is 2 x 2 x 2 x 89

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, 402) = 2010

GCD(30, 402) = ( 30 x 402 ) / 2010

GCD(30, 402) = 12060 / 2010

GCD(30, 402) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 359

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

LCM(6, 359) = 2154

GCD(6, 359) = ( 6 x 359 ) / 2154

GCD(6, 359) = 2154 / 2154

GCD(6, 359) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 712

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

LCM(1, 712) = 712

GCD(1, 712) = ( 1 x 712 ) / 712

GCD(1, 712) = 712 / 712

GCD(1, 712) = 1

GCD of 30, 402, 359, 712 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 53, 457, 929, 787
• GCD of 50, 133, 974, 378
• GCD of 99, 911, 360, 997
• GCD of 56, 896, 324, 517
• GCD of 50, 573, 174, 507

1. What is the GCD of 30, 402, 359, 712?

GCD of 30, 402, 359, 712 is 1

2. Where do I get the detailed procedure to find GCD of 30, 402, 359, 712?

You can find a detailed procedure to find GCD of 30, 402, 359, 712 on our page.

3. How to find GCD of 30, 402, 359, 712 on a calculator?

You can find the GCD of 30, 402, 359, 712 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.