GCD of 352, 660, 198, 304 Calculator

Given Input numbers are 352, 660, 198, 304

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

Divisors of 352 :

The positive integer divisors of 352 that completely divides 352 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

Divisors of 660 :

The positive integer divisors of 660 that completely divides 660 are.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

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 304 :

The positive integer divisors of 304 that completely divides 304 are.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

GCD of numbers is the greatest common divisor

So, the GCD (352, 660, 198, 304) = 2.

Given numbers are 352, 660, 198, 304

The list of prime factors of all numbers are

Prime factors of 352 are 2 x 2 x 2 x 2 x 2 x 11

Prime factors of 660 are 2 x 2 x 3 x 5 x 11

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

Prime factors of 304 are 2 x 2 x 2 x 2 x 19

The highest common occurrence is 2¹

Therefore, GCD of 352, 660, 198, 304 is 2.

Given numbers are 352, 660, 198, 304

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

Apply this formula for all numbers.

Step1:

LCM(352, 660) = 5280

GCD(352, 660) = ( 352 x 660 ) / 5280

= 352 / 660

= 352

Step2:

LCM(44, 198) = 396

GCD(44, 198) = ( 44 x 198 ) / 396

= 44 / 198

= 44

Step3:

LCM(22, 304) = 3344

GCD(22, 304) = ( 22 x 304 ) / 3344

= 22 / 304

= 22

So, Greatest Common Divisor of 352, 660, 198, 304 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 900, 874, 169, 915
• GCD of 702, 125, 604, 560
• GCD of 509, 811, 229, 766
• GCD of 301, 303, 923, 558
• GCD of 358, 695, 418, 564

Given numbers are 352, 660, 198, 304
The greatest common divisor of numbers 352, 660, 198, 304 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 352, 660, 198, 304 is 2.

1. What is the GCD of 352, 660, 198, 304?

GCD of given numbers 352, 660, 198, 304 is 2

2. How to calculate the greatest common divisor of 352, 660, 198, 304?

We can find the highest common divisor of 352, 660, 198, 304 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 352, 660, 198, 304 i.e 2.

3. How can I use the GCD of 352, 660, 198, 304Calculator?

Out the numbers 352, 660, 198, 304 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.