GCD of 216, 311, 340, 949 Calculator

Given Input numbers are 216, 311, 340, 949

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

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 311 :

The positive integer divisors of 311 that completely divides 311 are.

1, 311

Divisors of 340 :

The positive integer divisors of 340 that completely divides 340 are.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Divisors of 949 :

The positive integer divisors of 949 that completely divides 949 are.

1, 13, 73, 949

GCD of numbers is the greatest common divisor

So, the GCD (216, 311, 340, 949) = 1.

Given numbers are 216, 311, 340, 949

The list of prime factors of all numbers are

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

Prime factors of 311 are 311

Prime factors of 340 are 2 x 2 x 5 x 17

Prime factors of 949 are 13 x 73

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

Given numbers are 216, 311, 340, 949

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

Apply this formula for all numbers.

Step1:

LCM(216, 311) = 67176

GCD(216, 311) = ( 216 x 311 ) / 67176

= 216 / 311

= 216

Step2:

LCM(1, 340) = 340

GCD(1, 340) = ( 1 x 340 ) / 340

= 1 / 340

= 1

Step3:

LCM(1, 949) = 949

GCD(1, 949) = ( 1 x 949 ) / 949

= 1 / 949

= 1

So, Greatest Common Divisor of 216, 311, 340, 949 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 526, 748, 395, 406
• GCD of 780, 266, 934, 547
• GCD of 793, 911, 158, 356
• GCD of 198, 874, 944, 498
• GCD of 169, 294, 695, 646

Given numbers are 216, 311, 340, 949
The greatest common divisor of numbers 216, 311, 340, 949 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 216, 311, 340, 949 is 1.

1. What is the GCD of 216, 311, 340, 949?

GCD of given numbers 216, 311, 340, 949 is 1

2. How to calculate the greatest common divisor of 216, 311, 340, 949?

We can find the highest common divisor of 216, 311, 340, 949 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 216, 311, 340, 949 i.e 1.

3. How can I use the GCD of 216, 311, 340, 949Calculator?

Out the numbers 216, 311, 340, 949 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.