GCD of 80, 465, 338, 400 Calculator

Given Input numbers are 80, 465, 338, 400

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

Divisors of 80

List of positive integer divisors of 80 that divides 80 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80

Divisors of 465

List of positive integer divisors of 465 that divides 465 without a remainder.

1, 3, 5, 15, 31, 93, 155, 465

Divisors of 338

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

1, 2, 13, 26, 169, 338

Divisors of 400

List of positive integer divisors of 400 that divides 400 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Greatest Common Divisior

We found the divisors of 80, 465, 338, 400 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 80, 465, 338, 400 is 1.

Therefore, GCD of numbers 80, 465, 338, 400 is 1

Given Input Data is 80, 465, 338, 400

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

Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5

Prime Factorization of 465 is 3 x 5 x 31

Prime Factorization of 338 is 2 x 13 x 13

Prime Factorization of 400 is 2 x 2 x 2 x 2 x 5 x 5

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(80, 465) = 7440

GCD(80, 465) = ( 80 x 465 ) / 7440

GCD(80, 465) = 37200 / 7440

GCD(80, 465) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 338

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

LCM(5, 338) = 1690

GCD(5, 338) = ( 5 x 338 ) / 1690

GCD(5, 338) = 1690 / 1690

GCD(5, 338) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 400

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

LCM(1, 400) = 400

GCD(1, 400) = ( 1 x 400 ) / 400

GCD(1, 400) = 400 / 400

GCD(1, 400) = 1

GCD of 80, 465, 338, 400 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 17, 574, 455, 457
• GCD of 24, 590, 153, 517
• GCD of 93, 115, 309, 471
• GCD of 78, 556, 835, 336
• GCD of 72, 710, 432, 606

1. What is the GCD of 80, 465, 338, 400?

GCD of 80, 465, 338, 400 is 1

2. Where do I get the detailed procedure to find GCD of 80, 465, 338, 400?

You can find a detailed procedure to find GCD of 80, 465, 338, 400 on our page.

3. How to find GCD of 80, 465, 338, 400 on a calculator?

You can find the GCD of 80, 465, 338, 400 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.