GCD of 30, 749, 100, 170 Calculator

Given Input numbers are 30, 749, 100, 170

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 749

List of positive integer divisors of 749 that divides 749 without a remainder.

1, 7, 107, 749

Divisors of 100

List of positive integer divisors of 100 that divides 100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 170

List of positive integer divisors of 170 that divides 170 without a remainder.

1, 2, 5, 10, 17, 34, 85, 170

Greatest Common Divisior

We found the divisors of 30, 749, 100, 170 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 30, 749, 100, 170 is 1.

Therefore, GCD of numbers 30, 749, 100, 170 is 1

Given Input Data is 30, 749, 100, 170

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 749 is 7 x 107

Prime Factorization of 100 is 2 x 2 x 5 x 5

Prime Factorization of 170 is 2 x 5 x 17

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, 749) = 22470

GCD(30, 749) = ( 30 x 749 ) / 22470

GCD(30, 749) = 22470 / 22470

GCD(30, 749) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 100

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

LCM(1, 100) = 100

GCD(1, 100) = ( 1 x 100 ) / 100

GCD(1, 100) = 100 / 100

GCD(1, 100) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 170

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

LCM(1, 170) = 170

GCD(1, 170) = ( 1 x 170 ) / 170

GCD(1, 170) = 170 / 170

GCD(1, 170) = 1

GCD of 30, 749, 100, 170 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 53, 176, 625, 821
• GCD of 20, 415, 991, 263
• GCD of 10, 949, 348, 801
• GCD of 50, 791, 832, 241
• GCD of 59, 174, 474, 937

1. What is the GCD of 30, 749, 100, 170?

GCD of 30, 749, 100, 170 is 1

2. Where do I get the detailed procedure to find GCD of 30, 749, 100, 170?

You can find a detailed procedure to find GCD of 30, 749, 100, 170 on our page.

3. How to find GCD of 30, 749, 100, 170 on a calculator?

You can find the GCD of 30, 749, 100, 170 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.