GCD of 808, 870, 308 Calculator

Given Input numbers are 808, 870, 308

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 870 :

The positive integer divisors of 870 that completely divides 870 are.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

Divisors of 308 :

The positive integer divisors of 308 that completely divides 308 are.

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

GCD of numbers is the greatest common divisor

So, the GCD (808, 870, 308) = 2.

Given numbers are 808, 870, 308

The list of prime factors of all numbers are

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

Prime factors of 870 are 2 x 3 x 5 x 29

Prime factors of 308 are 2 x 2 x 7 x 11

The highest common occurrence is 2¹

Therefore, GCD of 808, 870, 308 is 2.

Given numbers are 808, 870, 308

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

Apply this formula for all numbers.

Step1:

LCM(808, 870) = 351480

GCD(808, 870) = ( 808 x 870 ) / 351480

= 808 / 870

= 808

Step2:

LCM(2, 308) = 308

GCD(2, 308) = ( 2 x 308 ) / 308

= 2 / 308

= 2

So, Greatest Common Divisor of 808, 870, 308 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 468, 187, 331
• GCD of 200, 154, 323
• GCD of 822, 459, 642
• GCD of 239, 880, 651
• GCD of 291, 412, 360

Given numbers are 808, 870, 308
The greatest common divisor of numbers 808, 870, 308 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 808, 870, 308 is 2.

1. What is the GCD of 808, 870, 308?

GCD of given numbers 808, 870, 308 is 2

2. How to calculate the greatest common divisor of 808, 870, 308?

We can find the highest common divisor of 808, 870, 308 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, 870, 308 i.e 2.

3. How can I use the GCD of 808, 870, 308Calculator?

Out the numbers 808, 870, 308 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.