GCD of 808, 170, 188, 756 Calculator

Given Input numbers are 808, 170, 188, 756

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 170 :

The positive integer divisors of 170 that completely divides 170 are.

1, 2, 5, 10, 17, 34, 85, 170

Divisors of 188 :

The positive integer divisors of 188 that completely divides 188 are.

1, 2, 4, 47, 94, 188

Divisors of 756 :

The positive integer divisors of 756 that completely divides 756 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

GCD of numbers is the greatest common divisor

So, the GCD (808, 170, 188, 756) = 2.

Given numbers are 808, 170, 188, 756

The list of prime factors of all numbers are

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

Prime factors of 170 are 2 x 5 x 17

Prime factors of 188 are 2 x 2 x 47

Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7

The highest common occurrence is 2¹

Therefore, GCD of 808, 170, 188, 756 is 2.

Given numbers are 808, 170, 188, 756

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

Apply this formula for all numbers.

Step1:

LCM(808, 170) = 68680

GCD(808, 170) = ( 808 x 170 ) / 68680

= 808 / 170

= 808

Step2:

LCM(2, 188) = 188

GCD(2, 188) = ( 2 x 188 ) / 188

= 2 / 188

= 2

Step3:

LCM(2, 756) = 756

GCD(2, 756) = ( 2 x 756 ) / 756

= 2 / 756

= 2

So, Greatest Common Divisor of 808, 170, 188, 756 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 418, 543, 585, 687
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• GCD of 358, 660, 765, 224
• GCD of 207, 914, 205, 983
• GCD of 524, 188, 171, 660

Given numbers are 808, 170, 188, 756
The greatest common divisor of numbers 808, 170, 188, 756 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 808, 170, 188, 756 is 2.

1. What is the GCD of 808, 170, 188, 756?

GCD of given numbers 808, 170, 188, 756 is 2

2. How to calculate the greatest common divisor of 808, 170, 188, 756?

We can find the highest common divisor of 808, 170, 188, 756 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, 170, 188, 756 i.e 2.

3. How can I use the GCD of 808, 170, 188, 756Calculator?

Out the numbers 808, 170, 188, 756 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.