GCD of 706, 340, 180, 871 Calculator

Given Input numbers are 706, 340, 180, 871

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

Divisors of 706

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

1, 2, 353, 706

Divisors of 340

List of positive integer divisors of 340 that divides 340 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Divisors of 180

List of positive integer divisors of 180 that divides 180 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 871

List of positive integer divisors of 871 that divides 871 without a remainder.

1, 13, 67, 871

Greatest Common Divisior

We found the divisors of 706, 340, 180, 871 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 706, 340, 180, 871 is 1.

Therefore, GCD of numbers 706, 340, 180, 871 is 1

Given Input Data is 706, 340, 180, 871

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

Prime Factorization of 706 is 2 x 353

Prime Factorization of 340 is 2 x 2 x 5 x 17

Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5

Prime Factorization of 871 is 13 x 67

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(706, 340) = 120020

GCD(706, 340) = ( 706 x 340 ) / 120020

GCD(706, 340) = 240040 / 120020

GCD(706, 340) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 180

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

LCM(2, 180) = 180

GCD(2, 180) = ( 2 x 180 ) / 180

GCD(2, 180) = 360 / 180

GCD(2, 180) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 871

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

LCM(2, 871) = 1742

GCD(2, 871) = ( 2 x 871 ) / 1742

GCD(2, 871) = 1742 / 1742

GCD(2, 871) = 1

GCD of 706, 340, 180, 871 is 1

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1. What is the GCD of 706, 340, 180, 871?

GCD of 706, 340, 180, 871 is 1

2. Where do I get the detailed procedure to find GCD of 706, 340, 180, 871?

You can find a detailed procedure to find GCD of 706, 340, 180, 871 on our page.

3. How to find GCD of 706, 340, 180, 871 on a calculator?

You can find the GCD of 706, 340, 180, 871 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.