GCD of 198, 702, 470, 288 Calculator

Given Input numbers are 198, 702, 470, 288

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

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 702 :

The positive integer divisors of 702 that completely divides 702 are.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

Divisors of 470 :

The positive integer divisors of 470 that completely divides 470 are.

1, 2, 5, 10, 47, 94, 235, 470

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

GCD of numbers is the greatest common divisor

So, the GCD (198, 702, 470, 288) = 2.

Given numbers are 198, 702, 470, 288

The list of prime factors of all numbers are

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

Prime factors of 702 are 2 x 3 x 3 x 3 x 13

Prime factors of 470 are 2 x 5 x 47

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

The highest common occurrence is 2¹

Therefore, GCD of 198, 702, 470, 288 is 2.

Given numbers are 198, 702, 470, 288

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

Apply this formula for all numbers.

Step1:

LCM(198, 702) = 7722

GCD(198, 702) = ( 198 x 702 ) / 7722

= 198 / 702

= 198

Step2:

LCM(18, 470) = 4230

GCD(18, 470) = ( 18 x 470 ) / 4230

= 18 / 470

= 18

Step3:

LCM(2, 288) = 288

GCD(2, 288) = ( 2 x 288 ) / 288

= 2 / 288

= 2

So, Greatest Common Divisor of 198, 702, 470, 288 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 744, 762, 955, 728
• GCD of 172, 305, 716, 122
• GCD of 474, 136, 464, 565
• GCD of 613, 954, 928, 493
• GCD of 697, 532, 516, 475

Given numbers are 198, 702, 470, 288
The greatest common divisor of numbers 198, 702, 470, 288 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 198, 702, 470, 288 is 2.

1. What is the GCD of 198, 702, 470, 288?

GCD of given numbers 198, 702, 470, 288 is 2

2. How to calculate the greatest common divisor of 198, 702, 470, 288?

We can find the highest common divisor of 198, 702, 470, 288 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 198, 702, 470, 288 i.e 2.

3. How can I use the GCD of 198, 702, 470, 288Calculator?

Out the numbers 198, 702, 470, 288 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.