GCD of 788, 258, 354 Calculator

Given Input numbers are 788, 258, 354

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

Divisors of 788

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

1, 2, 4, 197, 394, 788

Divisors of 258

List of positive integer divisors of 258 that divides 258 without a remainder.

1, 2, 3, 6, 43, 86, 129, 258

Divisors of 354

List of positive integer divisors of 354 that divides 354 without a remainder.

1, 2, 3, 6, 59, 118, 177, 354

Greatest Common Divisior

We found the divisors of 788, 258, 354 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 788, 258, 354 is 2.

Therefore, GCD of numbers 788, 258, 354 is 2

Given Input Data is 788, 258, 354

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

Prime Factorization of 788 is 2 x 2 x 197

Prime Factorization of 258 is 2 x 3 x 43

Prime Factorization of 354 is 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(788, 258) = 101652

GCD(788, 258) = ( 788 x 258 ) / 101652

GCD(788, 258) = 203304 / 101652

GCD(788, 258) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 354

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

LCM(2, 354) = 354

GCD(2, 354) = ( 2 x 354 ) / 354

GCD(2, 354) = 708 / 354

GCD(2, 354) = 2

GCD of 788, 258, 354 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 224, 161, 254
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• GCD of 342, 163, 911
• GCD of 608, 143, 370

1. What is the GCD of 788, 258, 354?

GCD of 788, 258, 354 is 2

2. Where do I get the detailed procedure to find GCD of 788, 258, 354?

You can find a detailed procedure to find GCD of 788, 258, 354 on our page.

3. How to find GCD of 788, 258, 354 on a calculator?

You can find the GCD of 788, 258, 354 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.