GCD of 60, 308, 329, 510 Calculator

Given Input numbers are 60, 308, 329, 510

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

Divisors of 60

List of positive integer divisors of 60 that divides 60 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Divisors of 308

List of positive integer divisors of 308 that divides 308 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Divisors of 329

List of positive integer divisors of 329 that divides 329 without a remainder.

1, 7, 47, 329

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

Greatest Common Divisior

We found the divisors of 60, 308, 329, 510 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 60, 308, 329, 510 is 1.

Therefore, GCD of numbers 60, 308, 329, 510 is 1

Given Input Data is 60, 308, 329, 510

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

Prime Factorization of 60 is 2 x 2 x 3 x 5

Prime Factorization of 308 is 2 x 2 x 7 x 11

Prime Factorization of 329 is 7 x 47

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

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(60, 308) = 4620

GCD(60, 308) = ( 60 x 308 ) / 4620

GCD(60, 308) = 18480 / 4620

GCD(60, 308) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 329

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

LCM(4, 329) = 1316

GCD(4, 329) = ( 4 x 329 ) / 1316

GCD(4, 329) = 1316 / 1316

GCD(4, 329) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 510

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

LCM(1, 510) = 510

GCD(1, 510) = ( 1 x 510 ) / 510

GCD(1, 510) = 510 / 510

GCD(1, 510) = 1

GCD of 60, 308, 329, 510 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 35, 984, 865, 789
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• GCD of 28, 507, 768, 269
• GCD of 53, 765, 333, 343

1. What is the GCD of 60, 308, 329, 510?

GCD of 60, 308, 329, 510 is 1

2. Where do I get the detailed procedure to find GCD of 60, 308, 329, 510?

You can find a detailed procedure to find GCD of 60, 308, 329, 510 on our page.

3. How to find GCD of 60, 308, 329, 510 on a calculator?

You can find the GCD of 60, 308, 329, 510 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.