GCD of 772, 336, 510, 305 Calculator

Given Input numbers are 772, 336, 510, 305

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

Divisors of 772

List of positive integer divisors of 772 that divides 772 without a remainder.

1, 2, 4, 193, 386, 772

Divisors of 336

List of positive integer divisors of 336 that divides 336 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

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 305

List of positive integer divisors of 305 that divides 305 without a remainder.

1, 5, 61, 305

Greatest Common Divisior

We found the divisors of 772, 336, 510, 305 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 772, 336, 510, 305 is 1.

Therefore, GCD of numbers 772, 336, 510, 305 is 1

Given Input Data is 772, 336, 510, 305

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

Prime Factorization of 772 is 2 x 2 x 193

Prime Factorization of 336 is 2 x 2 x 2 x 2 x 3 x 7

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

Prime Factorization of 305 is 5 x 61

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(772, 336) = 64848

GCD(772, 336) = ( 772 x 336 ) / 64848

GCD(772, 336) = 259392 / 64848

GCD(772, 336) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 510

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

LCM(4, 510) = 1020

GCD(4, 510) = ( 4 x 510 ) / 1020

GCD(4, 510) = 2040 / 1020

GCD(4, 510) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 305

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

LCM(2, 305) = 610

GCD(2, 305) = ( 2 x 305 ) / 610

GCD(2, 305) = 610 / 610

GCD(2, 305) = 1

GCD of 772, 336, 510, 305 is 1

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1. What is the GCD of 772, 336, 510, 305?

GCD of 772, 336, 510, 305 is 1

2. Where do I get the detailed procedure to find GCD of 772, 336, 510, 305?

You can find a detailed procedure to find GCD of 772, 336, 510, 305 on our page.

3. How to find GCD of 772, 336, 510, 305 on a calculator?

You can find the GCD of 772, 336, 510, 305 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.