GCD of 332, 978, 414 Calculator

Given Input numbers are 332, 978, 414

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

Divisors of 332

List of positive integer divisors of 332 that divides 332 without a remainder.

1, 2, 4, 83, 166, 332

Divisors of 978

List of positive integer divisors of 978 that divides 978 without a remainder.

1, 2, 3, 6, 163, 326, 489, 978

Divisors of 414

List of positive integer divisors of 414 that divides 414 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Greatest Common Divisior

We found the divisors of 332, 978, 414 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 332, 978, 414 is 2.

Therefore, GCD of numbers 332, 978, 414 is 2

Given Input Data is 332, 978, 414

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

Prime Factorization of 332 is 2 x 2 x 83

Prime Factorization of 978 is 2 x 3 x 163

Prime Factorization of 414 is 2 x 3 x 3 x 23

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(332, 978) = 162348

GCD(332, 978) = ( 332 x 978 ) / 162348

GCD(332, 978) = 324696 / 162348

GCD(332, 978) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 414

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

LCM(2, 414) = 414

GCD(2, 414) = ( 2 x 414 ) / 414

GCD(2, 414) = 828 / 414

GCD(2, 414) = 2

GCD of 332, 978, 414 is 2

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1. What is the GCD of 332, 978, 414?

GCD of 332, 978, 414 is 2

2. Where do I get the detailed procedure to find GCD of 332, 978, 414?

You can find a detailed procedure to find GCD of 332, 978, 414 on our page.

3. How to find GCD of 332, 978, 414 on a calculator?

You can find the GCD of 332, 978, 414 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.