GCD of 800, 160, 71, 140 Calculator

Given Input numbers are 800, 160, 71, 140

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

Divisors of 800

List of positive integer divisors of 800 that divides 800 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 160

List of positive integer divisors of 160 that divides 160 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 140

List of positive integer divisors of 140 that divides 140 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

Greatest Common Divisior

We found the divisors of 800, 160, 71, 140 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 800, 160, 71, 140 is 1.

Therefore, GCD of numbers 800, 160, 71, 140 is 1

Given Input Data is 800, 160, 71, 140

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

Prime Factorization of 800 is 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 160 is 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 71 is 71

Prime Factorization of 140 is 2 x 2 x 5 x 7

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(800, 160) = 800

GCD(800, 160) = ( 800 x 160 ) / 800

GCD(800, 160) = 128000 / 800

GCD(800, 160) = 160

Step2:

Here we consider the GCD from the above i.e. 160 as first number and the next as 71

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

LCM(160, 71) = 11360

GCD(160, 71) = ( 160 x 71 ) / 11360

GCD(160, 71) = 11360 / 11360

GCD(160, 71) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 140

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

LCM(1, 140) = 140

GCD(1, 140) = ( 1 x 140 ) / 140

GCD(1, 140) = 140 / 140

GCD(1, 140) = 1

GCD of 800, 160, 71, 140 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 720, 250, 78, 598
• GCD of 614, 190, 14, 584
• GCD of 310, 901, 10, 333
• GCD of 228, 750, 31, 945
• GCD of 466, 389, 33, 858

1. What is the GCD of 800, 160, 71, 140?

GCD of 800, 160, 71, 140 is 1

2. Where do I get the detailed procedure to find GCD of 800, 160, 71, 140?

You can find a detailed procedure to find GCD of 800, 160, 71, 140 on our page.

3. How to find GCD of 800, 160, 71, 140 on a calculator?

You can find the GCD of 800, 160, 71, 140 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.