GCD of 800, 196, 705, 864 Calculator

Given Input numbers are 800, 196, 705, 864

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 196 :

The positive integer divisors of 196 that completely divides 196 are.

1, 2, 4, 7, 14, 28, 49, 98, 196

Divisors of 705 :

The positive integer divisors of 705 that completely divides 705 are.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 864 :

The positive integer divisors of 864 that completely divides 864 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

GCD of numbers is the greatest common divisor

So, the GCD (800, 196, 705, 864) = 1.

Given numbers are 800, 196, 705, 864

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 196 are 2 x 2 x 7 x 7

Prime factors of 705 are 3 x 5 x 47

Prime factors of 864 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 800, 196, 705, 864

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

Apply this formula for all numbers.

Step1:

LCM(800, 196) = 39200

GCD(800, 196) = ( 800 x 196 ) / 39200

= 800 / 196

= 800

Step2:

LCM(4, 705) = 2820

GCD(4, 705) = ( 4 x 705 ) / 2820

= 4 / 705

= 4

Step3:

LCM(1, 864) = 864

GCD(1, 864) = ( 1 x 864 ) / 864

= 1 / 864

= 1

So, Greatest Common Divisor of 800, 196, 705, 864 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 313, 941, 562, 203
• GCD of 570, 420, 356, 868
• GCD of 520, 489, 164, 404
• GCD of 165, 848, 420, 415
• GCD of 144, 806, 167, 130

Given numbers are 800, 196, 705, 864
The greatest common divisor of numbers 800, 196, 705, 864 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 800, 196, 705, 864 is 1.

1. What is the GCD of 800, 196, 705, 864?

GCD of given numbers 800, 196, 705, 864 is 1

2. How to calculate the greatest common divisor of 800, 196, 705, 864?

We can find the highest common divisor of 800, 196, 705, 864 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, 196, 705, 864 i.e 1.

3. How can I use the GCD of 800, 196, 705, 864Calculator?

Out the numbers 800, 196, 705, 864 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.