GCD of 370, 108, 12, 266 Calculator

Given Input numbers are 370, 108, 12, 266

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

Divisors of 370

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

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

Divisors of 108

List of positive integer divisors of 108 that divides 108 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 12

List of positive integer divisors of 12 that divides 12 without a remainder.

1, 2, 3, 4, 6, 12

Divisors of 266

List of positive integer divisors of 266 that divides 266 without a remainder.

1, 2, 7, 14, 19, 38, 133, 266

Greatest Common Divisior

We found the divisors of 370, 108, 12, 266 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 370, 108, 12, 266 is 2.

Therefore, GCD of numbers 370, 108, 12, 266 is 2

Given Input Data is 370, 108, 12, 266

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

Prime Factorization of 370 is 2 x 5 x 37

Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3

Prime Factorization of 12 is 2 x 2 x 3

Prime Factorization of 266 is 2 x 7 x 19

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(370, 108) = 19980

GCD(370, 108) = ( 370 x 108 ) / 19980

GCD(370, 108) = 39960 / 19980

GCD(370, 108) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 12

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

LCM(2, 12) = 12

GCD(2, 12) = ( 2 x 12 ) / 12

GCD(2, 12) = 24 / 12

GCD(2, 12) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 266

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

LCM(2, 266) = 266

GCD(2, 266) = ( 2 x 266 ) / 266

GCD(2, 266) = 532 / 266

GCD(2, 266) = 2

GCD of 370, 108, 12, 266 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 102, 564, 24, 420
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• GCD of 666, 821, 22, 675
• GCD of 851, 520, 72, 430
• GCD of 163, 209, 10, 807

1. What is the GCD of 370, 108, 12, 266?

GCD of 370, 108, 12, 266 is 2

2. Where do I get the detailed procedure to find GCD of 370, 108, 12, 266?

You can find a detailed procedure to find GCD of 370, 108, 12, 266 on our page.

3. How to find GCD of 370, 108, 12, 266 on a calculator?

You can find the GCD of 370, 108, 12, 266 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.