GCD of 642, 354, 774 Calculator

Given Input numbers are 642, 354, 774

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

Divisors of 642

List of positive integer divisors of 642 that divides 642 without a remainder.

1, 2, 3, 6, 107, 214, 321, 642

Divisors of 354

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

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

Divisors of 774

List of positive integer divisors of 774 that divides 774 without a remainder.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

Greatest Common Divisior

We found the divisors of 642, 354, 774 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 642, 354, 774 is 6.

Therefore, GCD of numbers 642, 354, 774 is 6

Given Input Data is 642, 354, 774

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

Prime Factorization of 642 is 2 x 3 x 107

Prime Factorization of 354 is 2 x 3 x 59

Prime Factorization of 774 is 2 x 3 x 3 x 43

Highest common occurrences in the given inputs are 2¹ x 3¹

Multiplying them we get the GCD as 6

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(642, 354) = 37878

GCD(642, 354) = ( 642 x 354 ) / 37878

GCD(642, 354) = 227268 / 37878

GCD(642, 354) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 774

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

LCM(6, 774) = 774

GCD(6, 774) = ( 6 x 774 ) / 774

GCD(6, 774) = 4644 / 774

GCD(6, 774) = 6

GCD of 642, 354, 774 is 6

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1. What is the GCD of 642, 354, 774?

GCD of 642, 354, 774 is 6

2. Where do I get the detailed procedure to find GCD of 642, 354, 774?

You can find a detailed procedure to find GCD of 642, 354, 774 on our page.

3. How to find GCD of 642, 354, 774 on a calculator?

You can find the GCD of 642, 354, 774 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.