GCD of 387, 756, 311, 283 Calculator

Given Input numbers are 387, 756, 311, 283

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

Divisors of 387 :

The positive integer divisors of 387 that completely divides 387 are.

1, 3, 9, 43, 129, 387

Divisors of 756 :

The positive integer divisors of 756 that completely divides 756 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 311 :

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

1, 311

Divisors of 283 :

The positive integer divisors of 283 that completely divides 283 are.

1, 283

GCD of numbers is the greatest common divisor

So, the GCD (387, 756, 311, 283) = 1.

Given numbers are 387, 756, 311, 283

The list of prime factors of all numbers are

Prime factors of 387 are 3 x 3 x 43

Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7

Prime factors of 311 are 311

Prime factors of 283 are 283

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

Given numbers are 387, 756, 311, 283

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

Apply this formula for all numbers.

Step1:

LCM(387, 756) = 32508

GCD(387, 756) = ( 387 x 756 ) / 32508

= 387 / 756

= 387

Step2:

LCM(9, 311) = 2799

GCD(9, 311) = ( 9 x 311 ) / 2799

= 9 / 311

= 9

Step3:

LCM(1, 283) = 283

GCD(1, 283) = ( 1 x 283 ) / 283

= 1 / 283

= 1

So, Greatest Common Divisor of 387, 756, 311, 283 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 175, 589, 678, 499
• GCD of 729, 412, 674, 855
• GCD of 752, 236, 284, 183
• GCD of 443, 984, 362, 834
• GCD of 568, 554, 590, 798

Given numbers are 387, 756, 311, 283
The greatest common divisor of numbers 387, 756, 311, 283 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 387, 756, 311, 283 is 1.

1. What is the GCD of 387, 756, 311, 283?

GCD of given numbers 387, 756, 311, 283 is 1

2. How to calculate the greatest common divisor of 387, 756, 311, 283?

We can find the highest common divisor of 387, 756, 311, 283 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 387, 756, 311, 283 i.e 1.

3. How can I use the GCD of 387, 756, 311, 283Calculator?

Out the numbers 387, 756, 311, 283 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.