GCD of 308, 370, 800 Calculator

Given Input numbers are 308, 370, 800

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

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

Divisors of 370 :

The positive integer divisors of 370 that completely divides 370 are.

1, 2, 5, 10, 37, 74, 185, 370

Divisors of 800 :

The positive integer divisors of 800 that completely divides 800 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

GCD of numbers is the greatest common divisor

So, the GCD (308, 370, 800) = 2.

Given numbers are 308, 370, 800

The list of prime factors of all numbers are

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

Prime factors of 370 are 2 x 5 x 37

Prime factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5

The highest common occurrence is 2¹

Therefore, GCD of 308, 370, 800 is 2.

Given numbers are 308, 370, 800

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

Apply this formula for all numbers.

Step1:

LCM(308, 370) = 56980

GCD(308, 370) = ( 308 x 370 ) / 56980

= 308 / 370

= 308

Step2:

LCM(2, 800) = 800

GCD(2, 800) = ( 2 x 800 ) / 800

= 2 / 800

= 2

So, Greatest Common Divisor of 308, 370, 800 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 712, 515, 574
• GCD of 775, 400, 146
• GCD of 875, 646, 443
• GCD of 293, 387, 399
• GCD of 559, 290, 531

Given numbers are 308, 370, 800
The greatest common divisor of numbers 308, 370, 800 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 308, 370, 800 is 2.

1. What is the GCD of 308, 370, 800?

GCD of given numbers 308, 370, 800 is 2

2. How to calculate the greatest common divisor of 308, 370, 800?

We can find the highest common divisor of 308, 370, 800 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 308, 370, 800 i.e 2.

3. How can I use the GCD of 308, 370, 800Calculator?

Out the numbers 308, 370, 800 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.