GCD of 40, 338, 265, 460 Calculator

Given Input numbers are 40, 338, 265, 460

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 338

List of positive integer divisors of 338 that divides 338 without a remainder.

1, 2, 13, 26, 169, 338

Divisors of 265

List of positive integer divisors of 265 that divides 265 without a remainder.

1, 5, 53, 265

Divisors of 460

List of positive integer divisors of 460 that divides 460 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Greatest Common Divisior

We found the divisors of 40, 338, 265, 460 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 40, 338, 265, 460 is 1.

Therefore, GCD of numbers 40, 338, 265, 460 is 1

Given Input Data is 40, 338, 265, 460

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 338 is 2 x 13 x 13

Prime Factorization of 265 is 5 x 53

Prime Factorization of 460 is 2 x 2 x 5 x 23

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, 338) = 6760

GCD(40, 338) = ( 40 x 338 ) / 6760

GCD(40, 338) = 13520 / 6760

GCD(40, 338) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 265

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

LCM(2, 265) = 530

GCD(2, 265) = ( 2 x 265 ) / 530

GCD(2, 265) = 530 / 530

GCD(2, 265) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 460

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

LCM(1, 460) = 460

GCD(1, 460) = ( 1 x 460 ) / 460

GCD(1, 460) = 460 / 460

GCD(1, 460) = 1

GCD of 40, 338, 265, 460 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 51, 226, 189, 856
• GCD of 42, 497, 307, 800
• GCD of 70, 672, 392, 745
• GCD of 45, 115, 486, 149
• GCD of 69, 603, 936, 943

1. What is the GCD of 40, 338, 265, 460?

GCD of 40, 338, 265, 460 is 1

2. Where do I get the detailed procedure to find GCD of 40, 338, 265, 460?

You can find a detailed procedure to find GCD of 40, 338, 265, 460 on our page.

3. How to find GCD of 40, 338, 265, 460 on a calculator?

You can find the GCD of 40, 338, 265, 460 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.