GCD of 509, 776, 302, 396 Calculator

Given Input numbers are 509, 776, 302, 396

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

Divisors of 509

List of positive integer divisors of 509 that divides 509 without a remainder.

1, 509

Divisors of 776

List of positive integer divisors of 776 that divides 776 without a remainder.

1, 2, 4, 8, 97, 194, 388, 776

Divisors of 302

List of positive integer divisors of 302 that divides 302 without a remainder.

1, 2, 151, 302

Divisors of 396

List of positive integer divisors of 396 that divides 396 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Greatest Common Divisior

We found the divisors of 509, 776, 302, 396 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 509, 776, 302, 396 is 1.

Therefore, GCD of numbers 509, 776, 302, 396 is 1

Given Input Data is 509, 776, 302, 396

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

Prime Factorization of 509 is 509

Prime Factorization of 776 is 2 x 2 x 2 x 97

Prime Factorization of 302 is 2 x 151

Prime Factorization of 396 is 2 x 2 x 3 x 3 x 11

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(509, 776) = 394984

GCD(509, 776) = ( 509 x 776 ) / 394984

GCD(509, 776) = 394984 / 394984

GCD(509, 776) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 302

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

LCM(1, 302) = 302

GCD(1, 302) = ( 1 x 302 ) / 302

GCD(1, 302) = 302 / 302

GCD(1, 302) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 396

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

LCM(1, 396) = 396

GCD(1, 396) = ( 1 x 396 ) / 396

GCD(1, 396) = 396 / 396

GCD(1, 396) = 1

GCD of 509, 776, 302, 396 is 1

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1. What is the GCD of 509, 776, 302, 396?

GCD of 509, 776, 302, 396 is 1

2. Where do I get the detailed procedure to find GCD of 509, 776, 302, 396?

You can find a detailed procedure to find GCD of 509, 776, 302, 396 on our page.

3. How to find GCD of 509, 776, 302, 396 on a calculator?

You can find the GCD of 509, 776, 302, 396 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.