GCD of 332, 190, 778, 468 Calculator

Given Input numbers are 332, 190, 778, 468

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 190

List of positive integer divisors of 190 that divides 190 without a remainder.

1, 2, 5, 10, 19, 38, 95, 190

Divisors of 778

List of positive integer divisors of 778 that divides 778 without a remainder.

1, 2, 389, 778

Divisors of 468

List of positive integer divisors of 468 that divides 468 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

Greatest Common Divisior

We found the divisors of 332, 190, 778, 468 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 332, 190, 778, 468 is 2.

Therefore, GCD of numbers 332, 190, 778, 468 is 2

Given Input Data is 332, 190, 778, 468

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 190 is 2 x 5 x 19

Prime Factorization of 778 is 2 x 389

Prime Factorization of 468 is 2 x 2 x 3 x 3 x 13

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, 190) = 31540

GCD(332, 190) = ( 332 x 190 ) / 31540

GCD(332, 190) = 63080 / 31540

GCD(332, 190) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 778

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

LCM(2, 778) = 778

GCD(2, 778) = ( 2 x 778 ) / 778

GCD(2, 778) = 1556 / 778

GCD(2, 778) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 468

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

LCM(2, 468) = 468

GCD(2, 468) = ( 2 x 468 ) / 468

GCD(2, 468) = 936 / 468

GCD(2, 468) = 2

GCD of 332, 190, 778, 468 is 2

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1. What is the GCD of 332, 190, 778, 468?

GCD of 332, 190, 778, 468 is 2

2. Where do I get the detailed procedure to find GCD of 332, 190, 778, 468?

You can find a detailed procedure to find GCD of 332, 190, 778, 468 on our page.

3. How to find GCD of 332, 190, 778, 468 on a calculator?

You can find the GCD of 332, 190, 778, 468 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.