GCD of 906, 295, 66, 365 Calculator

Given Input numbers are 906, 295, 66, 365

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

Divisors of 906

List of positive integer divisors of 906 that divides 906 without a remainder.

1, 2, 3, 6, 151, 302, 453, 906

Divisors of 295

List of positive integer divisors of 295 that divides 295 without a remainder.

1, 5, 59, 295

Divisors of 66

List of positive integer divisors of 66 that divides 66 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66

Divisors of 365

List of positive integer divisors of 365 that divides 365 without a remainder.

1, 5, 73, 365

Greatest Common Divisior

We found the divisors of 906, 295, 66, 365 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 906, 295, 66, 365 is 1.

Therefore, GCD of numbers 906, 295, 66, 365 is 1

Given Input Data is 906, 295, 66, 365

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

Prime Factorization of 906 is 2 x 3 x 151

Prime Factorization of 295 is 5 x 59

Prime Factorization of 66 is 2 x 3 x 11

Prime Factorization of 365 is 5 x 73

The above numbers do not have any common prime factor. So GCD is 1

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(906, 295) = 267270

GCD(906, 295) = ( 906 x 295 ) / 267270

GCD(906, 295) = 267270 / 267270

GCD(906, 295) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 66

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

LCM(1, 66) = 66

GCD(1, 66) = ( 1 x 66 ) / 66

GCD(1, 66) = 66 / 66

GCD(1, 66) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 365

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

LCM(1, 365) = 365

GCD(1, 365) = ( 1 x 365 ) / 365

GCD(1, 365) = 365 / 365

GCD(1, 365) = 1

GCD of 906, 295, 66, 365 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 200, 151, 36, 920
• GCD of 555, 744, 69, 228
• GCD of 363, 150, 37, 843
• GCD of 454, 982, 92, 199
• GCD of 628, 944, 74, 270

1. What is the GCD of 906, 295, 66, 365?

GCD of 906, 295, 66, 365 is 1

2. Where do I get the detailed procedure to find GCD of 906, 295, 66, 365?

You can find a detailed procedure to find GCD of 906, 295, 66, 365 on our page.

3. How to find GCD of 906, 295, 66, 365 on a calculator?

You can find the GCD of 906, 295, 66, 365 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.