GCD of 356, 338, 25, 440 Calculator

Given Input numbers are 356, 338, 25, 440

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

Divisors of 356

List of positive integer divisors of 356 that divides 356 without a remainder.

1, 2, 4, 89, 178, 356

Divisors of 338

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

1, 2, 13, 26, 169, 338

Divisors of 25

List of positive integer divisors of 25 that divides 25 without a remainder.

1, 5, 25

Divisors of 440

List of positive integer divisors of 440 that divides 440 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

Greatest Common Divisior

We found the divisors of 356, 338, 25, 440 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 356, 338, 25, 440 is 1.

Therefore, GCD of numbers 356, 338, 25, 440 is 1

Given Input Data is 356, 338, 25, 440

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

Prime Factorization of 356 is 2 x 2 x 89

Prime Factorization of 338 is 2 x 13 x 13

Prime Factorization of 25 is 5 x 5

Prime Factorization of 440 is 2 x 2 x 2 x 5 x 11

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(356, 338) = 60164

GCD(356, 338) = ( 356 x 338 ) / 60164

GCD(356, 338) = 120328 / 60164

GCD(356, 338) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 25

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

LCM(2, 25) = 50

GCD(2, 25) = ( 2 x 25 ) / 50

GCD(2, 25) = 50 / 50

GCD(2, 25) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 440

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

LCM(1, 440) = 440

GCD(1, 440) = ( 1 x 440 ) / 440

GCD(1, 440) = 440 / 440

GCD(1, 440) = 1

GCD of 356, 338, 25, 440 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 713, 193, 56, 123
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• GCD of 648, 753, 80, 999
• GCD of 480, 897, 65, 415

1. What is the GCD of 356, 338, 25, 440?

GCD of 356, 338, 25, 440 is 1

2. Where do I get the detailed procedure to find GCD of 356, 338, 25, 440?

You can find a detailed procedure to find GCD of 356, 338, 25, 440 on our page.

3. How to find GCD of 356, 338, 25, 440 on a calculator?

You can find the GCD of 356, 338, 25, 440 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.