GCD of 40, 294, 385, 365 Calculator

Given Input numbers are 40, 294, 385, 365

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

Divisors of 40

List of positive integer divisors of 40 that divides 40 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40

Divisors of 294

List of positive integer divisors of 294 that divides 294 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

Divisors of 385

List of positive integer divisors of 385 that divides 385 without a remainder.

1, 5, 7, 11, 35, 55, 77, 385

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 40, 294, 385, 365 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 40, 294, 385, 365 is 1.

Therefore, GCD of numbers 40, 294, 385, 365 is 1

Given Input Data is 40, 294, 385, 365

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

Prime Factorization of 40 is 2 x 2 x 2 x 5

Prime Factorization of 294 is 2 x 3 x 7 x 7

Prime Factorization of 385 is 5 x 7 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(40, 294) = 5880

GCD(40, 294) = ( 40 x 294 ) / 5880

GCD(40, 294) = 11760 / 5880

GCD(40, 294) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 385

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

LCM(2, 385) = 770

GCD(2, 385) = ( 2 x 385 ) / 770

GCD(2, 385) = 770 / 770

GCD(2, 385) = 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 40, 294, 385, 365 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 82, 659, 380, 146
• GCD of 34, 345, 498, 569
• GCD of 57, 857, 349, 927
• GCD of 94, 859, 563, 910
• GCD of 23, 371, 302, 257

1. What is the GCD of 40, 294, 385, 365?

GCD of 40, 294, 385, 365 is 1

2. Where do I get the detailed procedure to find GCD of 40, 294, 385, 365?

You can find a detailed procedure to find GCD of 40, 294, 385, 365 on our page.

3. How to find GCD of 40, 294, 385, 365 on a calculator?

You can find the GCD of 40, 294, 385, 365 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.