GCD of 816, 138, 301, 510 Calculator

Given Input numbers are 816, 138, 301, 510

In the factoring method, we have to find the divisors of all numbers

Divisors of 816 :

The positive integer divisors of 816 that completely divides 816 are.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

Divisors of 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 301 :

The positive integer divisors of 301 that completely divides 301 are.

1, 7, 43, 301

Divisors of 510 :

The positive integer divisors of 510 that completely divides 510 are.

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

GCD of numbers is the greatest common divisor

So, the GCD (816, 138, 301, 510) = 1.

Given numbers are 816, 138, 301, 510

The list of prime factors of all numbers are

Prime factors of 816 are 2 x 2 x 2 x 2 x 3 x 17

Prime factors of 138 are 2 x 3 x 23

Prime factors of 301 are 7 x 43

Prime factors of 510 are 2 x 3 x 5 x 17

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 816, 138, 301, 510

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(816, 138) = 18768

GCD(816, 138) = ( 816 x 138 ) / 18768

= 816 / 138

= 816

Step2:

LCM(6, 301) = 1806

GCD(6, 301) = ( 6 x 301 ) / 1806

= 6 / 301

= 6

Step3:

LCM(1, 510) = 510

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

= 1 / 510

= 1

So, Greatest Common Divisor of 816, 138, 301, 510 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 282, 167, 516, 103
• GCD of 905, 744, 553, 533
• GCD of 572, 341, 442, 811
• GCD of 186, 511, 802, 719
• GCD of 146, 339, 161, 601

Given numbers are 816, 138, 301, 510
The greatest common divisor of numbers 816, 138, 301, 510 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 816, 138, 301, 510 is 1.

1. What is the GCD of 816, 138, 301, 510?

GCD of given numbers 816, 138, 301, 510 is 1

2. How to calculate the greatest common divisor of 816, 138, 301, 510?

We can find the highest common divisor of 816, 138, 301, 510 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 816, 138, 301, 510 i.e 1.

3. How can I use the GCD of 816, 138, 301, 510Calculator?

Out the numbers 816, 138, 301, 510 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.