GCD of 226, 252, 788, 708 Calculator

Given Input numbers are 226, 252, 788, 708

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

Divisors of 226

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

1, 2, 113, 226

Divisors of 252

List of positive integer divisors of 252 that divides 252 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

Divisors of 788

List of positive integer divisors of 788 that divides 788 without a remainder.

1, 2, 4, 197, 394, 788

Divisors of 708

List of positive integer divisors of 708 that divides 708 without a remainder.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Greatest Common Divisior

We found the divisors of 226, 252, 788, 708 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 226, 252, 788, 708 is 2.

Therefore, GCD of numbers 226, 252, 788, 708 is 2

Given Input Data is 226, 252, 788, 708

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

Prime Factorization of 226 is 2 x 113

Prime Factorization of 252 is 2 x 2 x 3 x 3 x 7

Prime Factorization of 788 is 2 x 2 x 197

Prime Factorization of 708 is 2 x 2 x 3 x 59

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(226, 252) = 28476

GCD(226, 252) = ( 226 x 252 ) / 28476

GCD(226, 252) = 56952 / 28476

GCD(226, 252) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 788

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

LCM(2, 788) = 788

GCD(2, 788) = ( 2 x 788 ) / 788

GCD(2, 788) = 1576 / 788

GCD(2, 788) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 708

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

LCM(2, 708) = 708

GCD(2, 708) = ( 2 x 708 ) / 708

GCD(2, 708) = 1416 / 708

GCD(2, 708) = 2

GCD of 226, 252, 788, 708 is 2

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1. What is the GCD of 226, 252, 788, 708?

GCD of 226, 252, 788, 708 is 2

2. Where do I get the detailed procedure to find GCD of 226, 252, 788, 708?

You can find a detailed procedure to find GCD of 226, 252, 788, 708 on our page.

3. How to find GCD of 226, 252, 788, 708 on a calculator?

You can find the GCD of 226, 252, 788, 708 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.