GCD of 510, 314, 559, 970 Calculator

Given Input numbers are 510, 314, 559, 970

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

Divisors of 510

List of positive integer divisors of 510 that divides 510 without a remainder.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

Divisors of 314

List of positive integer divisors of 314 that divides 314 without a remainder.

1, 2, 157, 314

Divisors of 559

List of positive integer divisors of 559 that divides 559 without a remainder.

1, 13, 43, 559

Divisors of 970

List of positive integer divisors of 970 that divides 970 without a remainder.

1, 2, 5, 10, 97, 194, 485, 970

Greatest Common Divisior

We found the divisors of 510, 314, 559, 970 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 510, 314, 559, 970 is 1.

Therefore, GCD of numbers 510, 314, 559, 970 is 1

Given Input Data is 510, 314, 559, 970

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

Prime Factorization of 510 is 2 x 3 x 5 x 17

Prime Factorization of 314 is 2 x 157

Prime Factorization of 559 is 13 x 43

Prime Factorization of 970 is 2 x 5 x 97

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(510, 314) = 80070

GCD(510, 314) = ( 510 x 314 ) / 80070

GCD(510, 314) = 160140 / 80070

GCD(510, 314) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 559

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

LCM(2, 559) = 1118

GCD(2, 559) = ( 2 x 559 ) / 1118

GCD(2, 559) = 1118 / 1118

GCD(2, 559) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 970

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

LCM(1, 970) = 970

GCD(1, 970) = ( 1 x 970 ) / 970

GCD(1, 970) = 970 / 970

GCD(1, 970) = 1

GCD of 510, 314, 559, 970 is 1

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1. What is the GCD of 510, 314, 559, 970?

GCD of 510, 314, 559, 970 is 1

2. Where do I get the detailed procedure to find GCD of 510, 314, 559, 970?

You can find a detailed procedure to find GCD of 510, 314, 559, 970 on our page.

3. How to find GCD of 510, 314, 559, 970 on a calculator?

You can find the GCD of 510, 314, 559, 970 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.