GCD of 510, 971, 340, 789 Calculator

Given Input numbers are 510, 971, 340, 789

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 971

List of positive integer divisors of 971 that divides 971 without a remainder.

1, 971

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 789

List of positive integer divisors of 789 that divides 789 without a remainder.

1, 3, 263, 789

Greatest Common Divisior

We found the divisors of 510, 971, 340, 789 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 510, 971, 340, 789 is 1.

Therefore, GCD of numbers 510, 971, 340, 789 is 1

Given Input Data is 510, 971, 340, 789

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 971 is 971

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

Prime Factorization of 789 is 3 x 263

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, 971) = 495210

GCD(510, 971) = ( 510 x 971 ) / 495210

GCD(510, 971) = 495210 / 495210

GCD(510, 971) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 340

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

LCM(1, 340) = 340

GCD(1, 340) = ( 1 x 340 ) / 340

GCD(1, 340) = 340 / 340

GCD(1, 340) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 789

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

LCM(1, 789) = 789

GCD(1, 789) = ( 1 x 789 ) / 789

GCD(1, 789) = 789 / 789

GCD(1, 789) = 1

GCD of 510, 971, 340, 789 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 905, 125, 955, 190
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• GCD of 576, 989, 393, 502

1. What is the GCD of 510, 971, 340, 789?

GCD of 510, 971, 340, 789 is 1

2. Where do I get the detailed procedure to find GCD of 510, 971, 340, 789?

You can find a detailed procedure to find GCD of 510, 971, 340, 789 on our page.

3. How to find GCD of 510, 971, 340, 789 on a calculator?

You can find the GCD of 510, 971, 340, 789 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.