GCD of 198, 216, 310, 471 Calculator

Given Input numbers are 198, 216, 310, 471

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 216 :

The positive integer divisors of 216 that completely divides 216 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

Divisors of 310 :

The positive integer divisors of 310 that completely divides 310 are.

1, 2, 5, 10, 31, 62, 155, 310

Divisors of 471 :

The positive integer divisors of 471 that completely divides 471 are.

1, 3, 157, 471

GCD of numbers is the greatest common divisor

So, the GCD (198, 216, 310, 471) = 1.

Given numbers are 198, 216, 310, 471

The list of prime factors of all numbers are

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

Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 310 are 2 x 5 x 31

Prime factors of 471 are 3 x 157

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

Given numbers are 198, 216, 310, 471

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

Apply this formula for all numbers.

Step1:

LCM(198, 216) = 2376

GCD(198, 216) = ( 198 x 216 ) / 2376

= 198 / 216

= 198

Step2:

LCM(18, 310) = 2790

GCD(18, 310) = ( 18 x 310 ) / 2790

= 18 / 310

= 18

Step3:

LCM(2, 471) = 942

GCD(2, 471) = ( 2 x 471 ) / 942

= 2 / 471

= 2

So, Greatest Common Divisor of 198, 216, 310, 471 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 403, 564, 694, 730
• GCD of 117, 474, 691, 528
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• GCD of 254, 178, 829, 508

Given numbers are 198, 216, 310, 471
The greatest common divisor of numbers 198, 216, 310, 471 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 198, 216, 310, 471 is 1.

1. What is the GCD of 198, 216, 310, 471?

GCD of given numbers 198, 216, 310, 471 is 1

2. How to calculate the greatest common divisor of 198, 216, 310, 471?

We can find the highest common divisor of 198, 216, 310, 471 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, 216, 310, 471 i.e 1.

3. How can I use the GCD of 198, 216, 310, 471Calculator?

Out the numbers 198, 216, 310, 471 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.