GCD of 704, 180, 431, 307 Calculator

Given Input numbers are 704, 180, 431, 307

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

Divisors of 704

List of positive integer divisors of 704 that divides 704 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

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 431

List of positive integer divisors of 431 that divides 431 without a remainder.

1, 431

Divisors of 307

List of positive integer divisors of 307 that divides 307 without a remainder.

1, 307

Greatest Common Divisior

We found the divisors of 704, 180, 431, 307 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 704, 180, 431, 307 is 1.

Therefore, GCD of numbers 704, 180, 431, 307 is 1

Given Input Data is 704, 180, 431, 307

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

Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11

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

Prime Factorization of 431 is 431

Prime Factorization of 307 is 307

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(704, 180) = 31680

GCD(704, 180) = ( 704 x 180 ) / 31680

GCD(704, 180) = 126720 / 31680

GCD(704, 180) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 431

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

LCM(4, 431) = 1724

GCD(4, 431) = ( 4 x 431 ) / 1724

GCD(4, 431) = 1724 / 1724

GCD(4, 431) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 307

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

LCM(1, 307) = 307

GCD(1, 307) = ( 1 x 307 ) / 307

GCD(1, 307) = 307 / 307

GCD(1, 307) = 1

GCD of 704, 180, 431, 307 is 1

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1. What is the GCD of 704, 180, 431, 307?

GCD of 704, 180, 431, 307 is 1

2. Where do I get the detailed procedure to find GCD of 704, 180, 431, 307?

You can find a detailed procedure to find GCD of 704, 180, 431, 307 on our page.

3. How to find GCD of 704, 180, 431, 307 on a calculator?

You can find the GCD of 704, 180, 431, 307 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.