GCD of 800, 638, 378, 306 Calculator

Given Input numbers are 800, 638, 378, 306

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 638 :

The positive integer divisors of 638 that completely divides 638 are.

1, 2, 11, 22, 29, 58, 319, 638

Divisors of 378 :

The positive integer divisors of 378 that completely divides 378 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 306 :

The positive integer divisors of 306 that completely divides 306 are.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

GCD of numbers is the greatest common divisor

So, the GCD (800, 638, 378, 306) = 2.

Given numbers are 800, 638, 378, 306

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 638 are 2 x 11 x 29

Prime factors of 378 are 2 x 3 x 3 x 3 x 7

Prime factors of 306 are 2 x 3 x 3 x 17

The highest common occurrence is 2¹

Therefore, GCD of 800, 638, 378, 306 is 2.

Given numbers are 800, 638, 378, 306

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

Apply this formula for all numbers.

Step1:

LCM(800, 638) = 255200

GCD(800, 638) = ( 800 x 638 ) / 255200

= 800 / 638

= 800

Step2:

LCM(2, 378) = 378

GCD(2, 378) = ( 2 x 378 ) / 378

= 2 / 378

= 2

Step3:

LCM(2, 306) = 306

GCD(2, 306) = ( 2 x 306 ) / 306

= 2 / 306

= 2

So, Greatest Common Divisor of 800, 638, 378, 306 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 916, 714, 452, 268
• GCD of 747, 790, 406, 435
• GCD of 797, 974, 950, 945
• GCD of 505, 331, 877, 365
• GCD of 638, 224, 948, 681

Given numbers are 800, 638, 378, 306
The greatest common divisor of numbers 800, 638, 378, 306 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 800, 638, 378, 306 is 2.

1. What is the GCD of 800, 638, 378, 306?

GCD of given numbers 800, 638, 378, 306 is 2

2. How to calculate the greatest common divisor of 800, 638, 378, 306?

We can find the highest common divisor of 800, 638, 378, 306 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, 638, 378, 306 i.e 2.

3. How can I use the GCD of 800, 638, 378, 306Calculator?

Out the numbers 800, 638, 378, 306 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.