GCD of 668, 146, 742 Calculator

Given Input numbers are 668, 146, 742

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

Divisors of 668

List of positive integer divisors of 668 that divides 668 without a remainder.

1, 2, 4, 167, 334, 668

Divisors of 146

List of positive integer divisors of 146 that divides 146 without a remainder.

1, 2, 73, 146

Divisors of 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Greatest Common Divisior

We found the divisors of 668, 146, 742 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 668, 146, 742 is 2.

Therefore, GCD of numbers 668, 146, 742 is 2

Given Input Data is 668, 146, 742

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

Prime Factorization of 668 is 2 x 2 x 167

Prime Factorization of 146 is 2 x 73

Prime Factorization of 742 is 2 x 7 x 53

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(668, 146) = 48764

GCD(668, 146) = ( 668 x 146 ) / 48764

GCD(668, 146) = 97528 / 48764

GCD(668, 146) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 742

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

LCM(2, 742) = 742

GCD(2, 742) = ( 2 x 742 ) / 742

GCD(2, 742) = 1484 / 742

GCD(2, 742) = 2

GCD of 668, 146, 742 is 2

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1. What is the GCD of 668, 146, 742?

GCD of 668, 146, 742 is 2

2. Where do I get the detailed procedure to find GCD of 668, 146, 742?

You can find a detailed procedure to find GCD of 668, 146, 742 on our page.

3. How to find GCD of 668, 146, 742 on a calculator?

You can find the GCD of 668, 146, 742 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.