GCD of 307, 414, 178, 570 Calculator

Given Input numbers are 307, 414, 178, 570

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

Divisors of 307

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

1, 307

Divisors of 414

List of positive integer divisors of 414 that divides 414 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Divisors of 178

List of positive integer divisors of 178 that divides 178 without a remainder.

1, 2, 89, 178

Divisors of 570

List of positive integer divisors of 570 that divides 570 without a remainder.

1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570

Greatest Common Divisior

We found the divisors of 307, 414, 178, 570 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 307, 414, 178, 570 is 1.

Therefore, GCD of numbers 307, 414, 178, 570 is 1

Given Input Data is 307, 414, 178, 570

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

Prime Factorization of 307 is 307

Prime Factorization of 414 is 2 x 3 x 3 x 23

Prime Factorization of 178 is 2 x 89

Prime Factorization of 570 is 2 x 3 x 5 x 19

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(307, 414) = 127098

GCD(307, 414) = ( 307 x 414 ) / 127098

GCD(307, 414) = 127098 / 127098

GCD(307, 414) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 178

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

LCM(1, 178) = 178

GCD(1, 178) = ( 1 x 178 ) / 178

GCD(1, 178) = 178 / 178

GCD(1, 178) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 570

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

LCM(1, 570) = 570

GCD(1, 570) = ( 1 x 570 ) / 570

GCD(1, 570) = 570 / 570

GCD(1, 570) = 1

GCD of 307, 414, 178, 570 is 1

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1. What is the GCD of 307, 414, 178, 570?

GCD of 307, 414, 178, 570 is 1

2. Where do I get the detailed procedure to find GCD of 307, 414, 178, 570?

You can find a detailed procedure to find GCD of 307, 414, 178, 570 on our page.

3. How to find GCD of 307, 414, 178, 570 on a calculator?

You can find the GCD of 307, 414, 178, 570 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.