GCD of 800, 626, 920, 310 Calculator

Given Input numbers are 800, 626, 920, 310

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

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

Divisors of 626 :

The positive integer divisors of 626 that completely divides 626 are.

1, 2, 313, 626

Divisors of 920 :

The positive integer divisors of 920 that completely divides 920 are.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 310 :

The positive integer divisors of 310 that completely divides 310 are.

1, 2, 5, 10, 31, 62, 155, 310

GCD of numbers is the greatest common divisor

So, the GCD (800, 626, 920, 310) = 2.

Given numbers are 800, 626, 920, 310

The list of prime factors of all numbers are

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

Prime factors of 626 are 2 x 313

Prime factors of 920 are 2 x 2 x 2 x 5 x 23

Prime factors of 310 are 2 x 5 x 31

The highest common occurrence is 2¹

Therefore, GCD of 800, 626, 920, 310 is 2.

Given numbers are 800, 626, 920, 310

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

Apply this formula for all numbers.

Step1:

LCM(800, 626) = 250400

GCD(800, 626) = ( 800 x 626 ) / 250400

= 800 / 626

= 800

Step2:

LCM(2, 920) = 920

GCD(2, 920) = ( 2 x 920 ) / 920

= 2 / 920

= 2

Step3:

LCM(2, 310) = 310

GCD(2, 310) = ( 2 x 310 ) / 310

= 2 / 310

= 2

So, Greatest Common Divisor of 800, 626, 920, 310 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 121, 768, 183, 861
• GCD of 326, 122, 339, 405
• GCD of 742, 150, 983, 563
• GCD of 697, 451, 142, 920
• GCD of 611, 475, 979, 908

Given numbers are 800, 626, 920, 310
The greatest common divisor of numbers 800, 626, 920, 310 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 800, 626, 920, 310 is 2.

1. What is the GCD of 800, 626, 920, 310?

GCD of given numbers 800, 626, 920, 310 is 2

2. How to calculate the greatest common divisor of 800, 626, 920, 310?

We can find the highest common divisor of 800, 626, 920, 310 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 800, 626, 920, 310 i.e 2.

3. How can I use the GCD of 800, 626, 920, 310Calculator?

Out the numbers 800, 626, 920, 310 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.