GCD of 288, 320, 198, 700 Calculator

Given Input numbers are 288, 320, 198, 700

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

Divisors of 288 :

The positive integer divisors of 288 that completely divides 288 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

Divisors of 320 :

The positive integer divisors of 320 that completely divides 320 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Divisors of 198 :

The positive integer divisors of 198 that completely divides 198 are.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Divisors of 700 :

The positive integer divisors of 700 that completely divides 700 are.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

GCD of numbers is the greatest common divisor

So, the GCD (288, 320, 198, 700) = 2.

Given numbers are 288, 320, 198, 700

The list of prime factors of all numbers are

Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime factors of 198 are 2 x 3 x 3 x 11

Prime factors of 700 are 2 x 2 x 5 x 5 x 7

The highest common occurrence is 2¹

Therefore, GCD of 288, 320, 198, 700 is 2.

Given numbers are 288, 320, 198, 700

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

Apply this formula for all numbers.

Step1:

LCM(288, 320) = 2880

GCD(288, 320) = ( 288 x 320 ) / 2880

= 288 / 320

= 288

Step2:

LCM(32, 198) = 3168

GCD(32, 198) = ( 32 x 198 ) / 3168

= 32 / 198

= 32

Step3:

LCM(2, 700) = 700

GCD(2, 700) = ( 2 x 700 ) / 700

= 2 / 700

= 2

So, Greatest Common Divisor of 288, 320, 198, 700 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 960, 388, 466, 994
• GCD of 871, 626, 845, 145
• GCD of 641, 659, 627, 604
• GCD of 798, 171, 869, 417
• GCD of 723, 593, 512, 924

Given numbers are 288, 320, 198, 700
The greatest common divisor of numbers 288, 320, 198, 700 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 288, 320, 198, 700 is 2.

1. What is the GCD of 288, 320, 198, 700?

GCD of given numbers 288, 320, 198, 700 is 2

2. How to calculate the greatest common divisor of 288, 320, 198, 700?

We can find the highest common divisor of 288, 320, 198, 700 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 288, 320, 198, 700 i.e 2.

3. How can I use the GCD of 288, 320, 198, 700Calculator?

Out the numbers 288, 320, 198, 700 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.