GCD of 272, 398, 216, 303 Calculator

Given Input numbers are 272, 398, 216, 303

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

Divisors of 272 :

The positive integer divisors of 272 that completely divides 272 are.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Divisors of 398 :

The positive integer divisors of 398 that completely divides 398 are.

1, 2, 199, 398

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 303 :

The positive integer divisors of 303 that completely divides 303 are.

1, 3, 101, 303

GCD of numbers is the greatest common divisor

So, the GCD (272, 398, 216, 303) = 1.

Given numbers are 272, 398, 216, 303

The list of prime factors of all numbers are

Prime factors of 272 are 2 x 2 x 2 x 2 x 17

Prime factors of 398 are 2 x 199

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

Prime factors of 303 are 3 x 101

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

Given numbers are 272, 398, 216, 303

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

Apply this formula for all numbers.

Step1:

LCM(272, 398) = 54128

GCD(272, 398) = ( 272 x 398 ) / 54128

= 272 / 398

= 272

Step2:

LCM(2, 216) = 216

GCD(2, 216) = ( 2 x 216 ) / 216

= 2 / 216

= 2

Step3:

LCM(2, 303) = 606

GCD(2, 303) = ( 2 x 303 ) / 606

= 2 / 303

= 2

So, Greatest Common Divisor of 272, 398, 216, 303 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 157, 170, 983, 467
• GCD of 403, 554, 655, 711
• GCD of 673, 304, 873, 257
• GCD of 895, 404, 805, 723
• GCD of 496, 134, 924, 516

Given numbers are 272, 398, 216, 303
The greatest common divisor of numbers 272, 398, 216, 303 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 272, 398, 216, 303 is 1.

1. What is the GCD of 272, 398, 216, 303?

GCD of given numbers 272, 398, 216, 303 is 1

2. How to calculate the greatest common divisor of 272, 398, 216, 303?

We can find the highest common divisor of 272, 398, 216, 303 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 272, 398, 216, 303 i.e 1.

3. How can I use the GCD of 272, 398, 216, 303Calculator?

Out the numbers 272, 398, 216, 303 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.