GCD of 696, 344, 226, 546 Calculator

Given Input numbers are 696, 344, 226, 546

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 344

List of positive integer divisors of 344 that divides 344 without a remainder.

1, 2, 4, 8, 43, 86, 172, 344

Divisors of 226

List of positive integer divisors of 226 that divides 226 without a remainder.

1, 2, 113, 226

Divisors of 546

List of positive integer divisors of 546 that divides 546 without a remainder.

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

Greatest Common Divisior

We found the divisors of 696, 344, 226, 546 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 696, 344, 226, 546 is 2.

Therefore, GCD of numbers 696, 344, 226, 546 is 2

Given Input Data is 696, 344, 226, 546

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 344 is 2 x 2 x 2 x 43

Prime Factorization of 226 is 2 x 113

Prime Factorization of 546 is 2 x 3 x 7 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, 344) = 29928

GCD(696, 344) = ( 696 x 344 ) / 29928

GCD(696, 344) = 239424 / 29928

GCD(696, 344) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 226

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

LCM(8, 226) = 904

GCD(8, 226) = ( 8 x 226 ) / 904

GCD(8, 226) = 1808 / 904

GCD(8, 226) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 546

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

LCM(2, 546) = 546

GCD(2, 546) = ( 2 x 546 ) / 546

GCD(2, 546) = 1092 / 546

GCD(2, 546) = 2

GCD of 696, 344, 226, 546 is 2

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1. What is the GCD of 696, 344, 226, 546?

GCD of 696, 344, 226, 546 is 2

2. Where do I get the detailed procedure to find GCD of 696, 344, 226, 546?

You can find a detailed procedure to find GCD of 696, 344, 226, 546 on our page.

3. How to find GCD of 696, 344, 226, 546 on a calculator?

You can find the GCD of 696, 344, 226, 546 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.