GCD of 36, 714, 830, 159 Calculator

Given Input numbers are 36, 714, 830, 159

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

Divisors of 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

Divisors of 714

List of positive integer divisors of 714 that divides 714 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Divisors of 830

List of positive integer divisors of 830 that divides 830 without a remainder.

1, 2, 5, 10, 83, 166, 415, 830

Divisors of 159

List of positive integer divisors of 159 that divides 159 without a remainder.

1, 3, 53, 159

Greatest Common Divisior

We found the divisors of 36, 714, 830, 159 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 36, 714, 830, 159 is 1.

Therefore, GCD of numbers 36, 714, 830, 159 is 1

Given Input Data is 36, 714, 830, 159

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

Prime Factorization of 36 is 2 x 2 x 3 x 3

Prime Factorization of 714 is 2 x 3 x 7 x 17

Prime Factorization of 830 is 2 x 5 x 83

Prime Factorization of 159 is 3 x 53

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(36, 714) = 4284

GCD(36, 714) = ( 36 x 714 ) / 4284

GCD(36, 714) = 25704 / 4284

GCD(36, 714) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 830

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

LCM(6, 830) = 2490

GCD(6, 830) = ( 6 x 830 ) / 2490

GCD(6, 830) = 4980 / 2490

GCD(6, 830) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 159

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

LCM(2, 159) = 318

GCD(2, 159) = ( 2 x 159 ) / 318

GCD(2, 159) = 318 / 318

GCD(2, 159) = 1

GCD of 36, 714, 830, 159 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 48, 821, 587, 234
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• GCD of 28, 646, 542, 889
• GCD of 49, 294, 838, 107
• GCD of 14, 211, 714, 363

1. What is the GCD of 36, 714, 830, 159?

GCD of 36, 714, 830, 159 is 1

2. Where do I get the detailed procedure to find GCD of 36, 714, 830, 159?

You can find a detailed procedure to find GCD of 36, 714, 830, 159 on our page.

3. How to find GCD of 36, 714, 830, 159 on a calculator?

You can find the GCD of 36, 714, 830, 159 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.