GCD of 800, 300, 780, 338 Calculator

Given Input numbers are 800, 300, 780, 338

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 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 780 :

The positive integer divisors of 780 that completely divides 780 are.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Divisors of 338 :

The positive integer divisors of 338 that completely divides 338 are.

1, 2, 13, 26, 169, 338

GCD of numbers is the greatest common divisor

So, the GCD (800, 300, 780, 338) = 2.

Given numbers are 800, 300, 780, 338

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 300 are 2 x 2 x 3 x 5 x 5

Prime factors of 780 are 2 x 2 x 3 x 5 x 13

Prime factors of 338 are 2 x 13 x 13

The highest common occurrence is 2¹

Therefore, GCD of 800, 300, 780, 338 is 2.

Given numbers are 800, 300, 780, 338

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

Apply this formula for all numbers.

Step1:

LCM(800, 300) = 2400

GCD(800, 300) = ( 800 x 300 ) / 2400

= 800 / 300

= 800

Step2:

LCM(100, 780) = 3900

GCD(100, 780) = ( 100 x 780 ) / 3900

= 100 / 780

= 100

Step3:

LCM(20, 338) = 3380

GCD(20, 338) = ( 20 x 338 ) / 3380

= 20 / 338

= 20

So, Greatest Common Divisor of 800, 300, 780, 338 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 659, 459, 413, 381
• GCD of 929, 908, 773, 130
• GCD of 869, 129, 521, 857
• GCD of 161, 140, 709, 636
• GCD of 353, 553, 998, 328

Given numbers are 800, 300, 780, 338
The greatest common divisor of numbers 800, 300, 780, 338 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 800, 300, 780, 338 is 2.

1. What is the GCD of 800, 300, 780, 338?

GCD of given numbers 800, 300, 780, 338 is 2

2. How to calculate the greatest common divisor of 800, 300, 780, 338?

We can find the highest common divisor of 800, 300, 780, 338 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, 300, 780, 338 i.e 2.

3. How can I use the GCD of 800, 300, 780, 338Calculator?

Out the numbers 800, 300, 780, 338 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.