GCD of 808, 300, 656, 830 Calculator

Given Input numbers are 808, 300, 656, 830

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

Divisors of 808 :

The positive integer divisors of 808 that completely divides 808 are.

1, 2, 4, 8, 101, 202, 404, 808

Divisors of 300 :

The positive integer divisors of 300 that completely divides 300 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 656 :

The positive integer divisors of 656 that completely divides 656 are.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

Divisors of 830 :

The positive integer divisors of 830 that completely divides 830 are.

1, 2, 5, 10, 83, 166, 415, 830

GCD of numbers is the greatest common divisor

So, the GCD (808, 300, 656, 830) = 2.

Given numbers are 808, 300, 656, 830

The list of prime factors of all numbers are

Prime factors of 808 are 2 x 2 x 2 x 101

Prime factors of 300 are 2 x 2 x 3 x 5 x 5

Prime factors of 656 are 2 x 2 x 2 x 2 x 41

Prime factors of 830 are 2 x 5 x 83

The highest common occurrence is 2¹

Therefore, GCD of 808, 300, 656, 830 is 2.

Given numbers are 808, 300, 656, 830

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

Apply this formula for all numbers.

Step1:

LCM(808, 300) = 60600

GCD(808, 300) = ( 808 x 300 ) / 60600

= 808 / 300

= 808

Step2:

LCM(4, 656) = 656

GCD(4, 656) = ( 4 x 656 ) / 656

= 4 / 656

= 4

Step3:

LCM(4, 830) = 1660

GCD(4, 830) = ( 4 x 830 ) / 1660

= 4 / 830

= 4

So, Greatest Common Divisor of 808, 300, 656, 830 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 560, 255, 331, 694
• GCD of 127, 873, 454, 512
• GCD of 691, 869, 383, 451
• GCD of 809, 788, 332, 395
• GCD of 117, 649, 399, 857

Given numbers are 808, 300, 656, 830
The greatest common divisor of numbers 808, 300, 656, 830 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 808, 300, 656, 830 is 2.

1. What is the GCD of 808, 300, 656, 830?

GCD of given numbers 808, 300, 656, 830 is 2

2. How to calculate the greatest common divisor of 808, 300, 656, 830?

We can find the highest common divisor of 808, 300, 656, 830 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 808, 300, 656, 830 i.e 2.

3. How can I use the GCD of 808, 300, 656, 830Calculator?

Out the numbers 808, 300, 656, 830 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.