GCD of 34, 718, 623, 218 Calculator

Given Input numbers are 34, 718, 623, 218

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

Divisors of 34

List of positive integer divisors of 34 that divides 34 without a remainder.

1, 2, 17, 34

Divisors of 718

List of positive integer divisors of 718 that divides 718 without a remainder.

1, 2, 359, 718

Divisors of 623

List of positive integer divisors of 623 that divides 623 without a remainder.

1, 7, 89, 623

Divisors of 218

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

1, 2, 109, 218

Greatest Common Divisior

We found the divisors of 34, 718, 623, 218 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 34, 718, 623, 218 is 1.

Therefore, GCD of numbers 34, 718, 623, 218 is 1

Given Input Data is 34, 718, 623, 218

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

Prime Factorization of 34 is 2 x 17

Prime Factorization of 718 is 2 x 359

Prime Factorization of 623 is 7 x 89

Prime Factorization of 218 is 2 x 109

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(34, 718) = 12206

GCD(34, 718) = ( 34 x 718 ) / 12206

GCD(34, 718) = 24412 / 12206

GCD(34, 718) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 623

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

LCM(2, 623) = 1246

GCD(2, 623) = ( 2 x 623 ) / 1246

GCD(2, 623) = 1246 / 1246

GCD(2, 623) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 218

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

LCM(1, 218) = 218

GCD(1, 218) = ( 1 x 218 ) / 218

GCD(1, 218) = 218 / 218

GCD(1, 218) = 1

GCD of 34, 718, 623, 218 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 11, 989, 157, 488
• GCD of 88, 329, 458, 802
• GCD of 46, 921, 172, 162
• GCD of 91, 742, 431, 348
• GCD of 15, 264, 932, 433

1. What is the GCD of 34, 718, 623, 218?

GCD of 34, 718, 623, 218 is 1

2. Where do I get the detailed procedure to find GCD of 34, 718, 623, 218?

You can find a detailed procedure to find GCD of 34, 718, 623, 218 on our page.

3. How to find GCD of 34, 718, 623, 218 on a calculator?

You can find the GCD of 34, 718, 623, 218 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.