GCD of 880, 665, 800, 706 Calculator

Given Input numbers are 880, 665, 800, 706

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

Divisors of 880

List of positive integer divisors of 880 that divides 880 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

Divisors of 665

List of positive integer divisors of 665 that divides 665 without a remainder.

1, 5, 7, 19, 35, 95, 133, 665

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 706

List of positive integer divisors of 706 that divides 706 without a remainder.

1, 2, 353, 706

Greatest Common Divisior

We found the divisors of 880, 665, 800, 706 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 880, 665, 800, 706 is 1.

Therefore, GCD of numbers 880, 665, 800, 706 is 1

Given Input Data is 880, 665, 800, 706

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

Prime Factorization of 880 is 2 x 2 x 2 x 2 x 5 x 11

Prime Factorization of 665 is 5 x 7 x 19

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

Prime Factorization of 706 is 2 x 353

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(880, 665) = 117040

GCD(880, 665) = ( 880 x 665 ) / 117040

GCD(880, 665) = 585200 / 117040

GCD(880, 665) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 800

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

LCM(5, 800) = 800

GCD(5, 800) = ( 5 x 800 ) / 800

GCD(5, 800) = 4000 / 800

GCD(5, 800) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 706

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

LCM(5, 706) = 3530

GCD(5, 706) = ( 5 x 706 ) / 3530

GCD(5, 706) = 3530 / 3530

GCD(5, 706) = 1

GCD of 880, 665, 800, 706 is 1

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1. What is the GCD of 880, 665, 800, 706?

GCD of 880, 665, 800, 706 is 1

2. Where do I get the detailed procedure to find GCD of 880, 665, 800, 706?

You can find a detailed procedure to find GCD of 880, 665, 800, 706 on our page.

3. How to find GCD of 880, 665, 800, 706 on a calculator?

You can find the GCD of 880, 665, 800, 706 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.