GCD of 312, 270, 198, 313 Calculator

Given Input numbers are 312, 270, 198, 313

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

Divisors of 312 :

The positive integer divisors of 312 that completely divides 312 are.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 270 :

The positive integer divisors of 270 that completely divides 270 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

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 313 :

The positive integer divisors of 313 that completely divides 313 are.

1, 313

GCD of numbers is the greatest common divisor

So, the GCD (312, 270, 198, 313) = 1.

Given numbers are 312, 270, 198, 313

The list of prime factors of all numbers are

Prime factors of 312 are 2 x 2 x 2 x 3 x 13

Prime factors of 270 are 2 x 3 x 3 x 3 x 5

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

Prime factors of 313 are 313

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

Given numbers are 312, 270, 198, 313

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

Apply this formula for all numbers.

Step1:

LCM(312, 270) = 14040

GCD(312, 270) = ( 312 x 270 ) / 14040

= 312 / 270

= 312

Step2:

LCM(6, 198) = 198

GCD(6, 198) = ( 6 x 198 ) / 198

= 6 / 198

= 6

Step3:

LCM(6, 313) = 1878

GCD(6, 313) = ( 6 x 313 ) / 1878

= 6 / 313

= 6

So, Greatest Common Divisor of 312, 270, 198, 313 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 588, 755, 403, 280
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• GCD of 917, 259, 803, 615

Given numbers are 312, 270, 198, 313
The greatest common divisor of numbers 312, 270, 198, 313 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 312, 270, 198, 313 is 1.

1. What is the GCD of 312, 270, 198, 313?

GCD of given numbers 312, 270, 198, 313 is 1

2. How to calculate the greatest common divisor of 312, 270, 198, 313?

We can find the highest common divisor of 312, 270, 198, 313 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 312, 270, 198, 313 i.e 1.

3. How can I use the GCD of 312, 270, 198, 313Calculator?

Out the numbers 312, 270, 198, 313 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.