GCD of 352, 666, 354 Calculator

Given Input numbers are 352, 666, 354

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

Divisors of 352

List of positive integer divisors of 352 that divides 352 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

Divisors of 666

List of positive integer divisors of 666 that divides 666 without a remainder.

1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666

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 352, 666, 354 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 352, 666, 354 is 2.

Therefore, GCD of numbers 352, 666, 354 is 2

Given Input Data is 352, 666, 354

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

Prime Factorization of 352 is 2 x 2 x 2 x 2 x 2 x 11

Prime Factorization of 666 is 2 x 3 x 3 x 37

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(352, 666) = 117216

GCD(352, 666) = ( 352 x 666 ) / 117216

GCD(352, 666) = 234432 / 117216

GCD(352, 666) = 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 352, 666, 354 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 926, 877, 999
• GCD of 975, 180, 556
• GCD of 741, 911, 698
• GCD of 833, 350, 941
• GCD of 530, 111, 759

1. What is the GCD of 352, 666, 354?

GCD of 352, 666, 354 is 2

2. Where do I get the detailed procedure to find GCD of 352, 666, 354?

You can find a detailed procedure to find GCD of 352, 666, 354 on our page.

3. How to find GCD of 352, 666, 354 on a calculator?

You can find the GCD of 352, 666, 354 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.