GCD of 696, 214, 22, 104 Calculator

Given Input numbers are 696, 214, 22, 104

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

Divisors of 696

List of positive integer divisors of 696 that divides 696 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Divisors of 214

List of positive integer divisors of 214 that divides 214 without a remainder.

1, 2, 107, 214

Divisors of 22

List of positive integer divisors of 22 that divides 22 without a remainder.

1, 2, 11, 22

Divisors of 104

List of positive integer divisors of 104 that divides 104 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104

Greatest Common Divisior

We found the divisors of 696, 214, 22, 104 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 696, 214, 22, 104 is 2.

Therefore, GCD of numbers 696, 214, 22, 104 is 2

Given Input Data is 696, 214, 22, 104

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

Prime Factorization of 696 is 2 x 2 x 2 x 3 x 29

Prime Factorization of 214 is 2 x 107

Prime Factorization of 22 is 2 x 11

Prime Factorization of 104 is 2 x 2 x 2 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(696, 214) = 74472

GCD(696, 214) = ( 696 x 214 ) / 74472

GCD(696, 214) = 148944 / 74472

GCD(696, 214) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 22

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

LCM(2, 22) = 22

GCD(2, 22) = ( 2 x 22 ) / 22

GCD(2, 22) = 44 / 22

GCD(2, 22) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 104

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

LCM(2, 104) = 104

GCD(2, 104) = ( 2 x 104 ) / 104

GCD(2, 104) = 208 / 104

GCD(2, 104) = 2

GCD of 696, 214, 22, 104 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 890, 130, 83, 280
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• GCD of 290, 101, 55, 497
• GCD of 105, 114, 92, 669
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1. What is the GCD of 696, 214, 22, 104?

GCD of 696, 214, 22, 104 is 2

2. Where do I get the detailed procedure to find GCD of 696, 214, 22, 104?

You can find a detailed procedure to find GCD of 696, 214, 22, 104 on our page.

3. How to find GCD of 696, 214, 22, 104 on a calculator?

You can find the GCD of 696, 214, 22, 104 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.