GCD of 362, 666, 46, 370 Calculator

Given Input numbers are 362, 666, 46, 370

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

Divisors of 362

List of positive integer divisors of 362 that divides 362 without a remainder.

1, 2, 181, 362

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 46

List of positive integer divisors of 46 that divides 46 without a remainder.

1, 2, 23, 46

Divisors of 370

List of positive integer divisors of 370 that divides 370 without a remainder.

1, 2, 5, 10, 37, 74, 185, 370

Greatest Common Divisior

We found the divisors of 362, 666, 46, 370 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 362, 666, 46, 370 is 2.

Therefore, GCD of numbers 362, 666, 46, 370 is 2

Given Input Data is 362, 666, 46, 370

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

Prime Factorization of 362 is 2 x 181

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

Prime Factorization of 46 is 2 x 23

Prime Factorization of 370 is 2 x 5 x 37

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(362, 666) = 120546

GCD(362, 666) = ( 362 x 666 ) / 120546

GCD(362, 666) = 241092 / 120546

GCD(362, 666) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 46

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

LCM(2, 46) = 46

GCD(2, 46) = ( 2 x 46 ) / 46

GCD(2, 46) = 92 / 46

GCD(2, 46) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 370

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

LCM(2, 370) = 370

GCD(2, 370) = ( 2 x 370 ) / 370

GCD(2, 370) = 740 / 370

GCD(2, 370) = 2

GCD of 362, 666, 46, 370 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 958, 381, 71, 705
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• GCD of 916, 836, 32, 102
• GCD of 924, 529, 32, 343
• GCD of 616, 328, 11, 970

1. What is the GCD of 362, 666, 46, 370?

GCD of 362, 666, 46, 370 is 2

2. Where do I get the detailed procedure to find GCD of 362, 666, 46, 370?

You can find a detailed procedure to find GCD of 362, 666, 46, 370 on our page.

3. How to find GCD of 362, 666, 46, 370 on a calculator?

You can find the GCD of 362, 666, 46, 370 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.