GCD of 30, 735, 607, 706 Calculator

Given Input numbers are 30, 735, 607, 706

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 735

List of positive integer divisors of 735 that divides 735 without a remainder.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Divisors of 607

List of positive integer divisors of 607 that divides 607 without a remainder.

1, 607

Divisors of 706

List of positive integer divisors of 706 that divides 706 without a remainder.

1, 2, 353, 706

Greatest Common Divisior

We found the divisors of 30, 735, 607, 706 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 30, 735, 607, 706 is 1.

Therefore, GCD of numbers 30, 735, 607, 706 is 1

Given Input Data is 30, 735, 607, 706

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 735 is 3 x 5 x 7 x 7

Prime Factorization of 607 is 607

Prime Factorization of 706 is 2 x 353

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, 735) = 1470

GCD(30, 735) = ( 30 x 735 ) / 1470

GCD(30, 735) = 22050 / 1470

GCD(30, 735) = 15

Step2:

Here we consider the GCD from the above i.e. 15 as first number and the next as 607

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

LCM(15, 607) = 9105

GCD(15, 607) = ( 15 x 607 ) / 9105

GCD(15, 607) = 9105 / 9105

GCD(15, 607) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 706

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

LCM(1, 706) = 706

GCD(1, 706) = ( 1 x 706 ) / 706

GCD(1, 706) = 706 / 706

GCD(1, 706) = 1

GCD of 30, 735, 607, 706 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 62, 421, 288, 444
• GCD of 10, 555, 225, 260
• GCD of 86, 473, 863, 730
• GCD of 92, 751, 367, 365
• GCD of 41, 747, 428, 561

1. What is the GCD of 30, 735, 607, 706?

GCD of 30, 735, 607, 706 is 1

2. Where do I get the detailed procedure to find GCD of 30, 735, 607, 706?

You can find a detailed procedure to find GCD of 30, 735, 607, 706 on our page.

3. How to find GCD of 30, 735, 607, 706 on a calculator?

You can find the GCD of 30, 735, 607, 706 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.