GCD of 218, 830, 80, 702 Calculator

Given Input numbers are 218, 830, 80, 702

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

Divisors of 218

List of positive integer divisors of 218 that divides 218 without a remainder.

1, 2, 109, 218

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 80

List of positive integer divisors of 80 that divides 80 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80

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 218, 830, 80, 702 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 218, 830, 80, 702 is 2.

Therefore, GCD of numbers 218, 830, 80, 702 is 2

Given Input Data is 218, 830, 80, 702

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

Prime Factorization of 218 is 2 x 109

Prime Factorization of 830 is 2 x 5 x 83

Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5

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

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(218, 830) = 90470

GCD(218, 830) = ( 218 x 830 ) / 90470

GCD(218, 830) = 180940 / 90470

GCD(218, 830) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 80

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

LCM(2, 80) = 80

GCD(2, 80) = ( 2 x 80 ) / 80

GCD(2, 80) = 160 / 80

GCD(2, 80) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 702

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

LCM(2, 702) = 702

GCD(2, 702) = ( 2 x 702 ) / 702

GCD(2, 702) = 1404 / 702

GCD(2, 702) = 2

GCD of 218, 830, 80, 702 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 500, 109, 86, 448
• GCD of 950, 397, 45, 364
• GCD of 416, 840, 46, 404
• GCD of 756, 136, 46, 307
• GCD of 671, 354, 91, 633

1. What is the GCD of 218, 830, 80, 702?

GCD of 218, 830, 80, 702 is 2

2. Where do I get the detailed procedure to find GCD of 218, 830, 80, 702?

You can find a detailed procedure to find GCD of 218, 830, 80, 702 on our page.

3. How to find GCD of 218, 830, 80, 702 on a calculator?

You can find the GCD of 218, 830, 80, 702 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.