GCD of 382, 312, 827, 586 Calculator

Given Input numbers are 382, 312, 827, 586

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

Divisors of 382 :

The positive integer divisors of 382 that completely divides 382 are.

1, 2, 191, 382

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 827 :

The positive integer divisors of 827 that completely divides 827 are.

1, 827

Divisors of 586 :

The positive integer divisors of 586 that completely divides 586 are.

1, 2, 293, 586

GCD of numbers is the greatest common divisor

So, the GCD (382, 312, 827, 586) = 1.

Given numbers are 382, 312, 827, 586

The list of prime factors of all numbers are

Prime factors of 382 are 2 x 191

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

Prime factors of 827 are 827

Prime factors of 586 are 2 x 293

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

Given numbers are 382, 312, 827, 586

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

Apply this formula for all numbers.

Step1:

LCM(382, 312) = 59592

GCD(382, 312) = ( 382 x 312 ) / 59592

= 382 / 312

= 382

Step2:

LCM(2, 827) = 1654

GCD(2, 827) = ( 2 x 827 ) / 1654

= 2 / 827

= 2

Step3:

LCM(1, 586) = 586

GCD(1, 586) = ( 1 x 586 ) / 586

= 1 / 586

= 1

So, Greatest Common Divisor of 382, 312, 827, 586 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 419, 987, 570, 269
• GCD of 736, 557, 361, 683
• GCD of 820, 436, 384, 384
• GCD of 106, 586, 661, 357
• GCD of 107, 599, 843, 367

Given numbers are 382, 312, 827, 586
The greatest common divisor of numbers 382, 312, 827, 586 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 382, 312, 827, 586 is 1.

1. What is the GCD of 382, 312, 827, 586?

GCD of given numbers 382, 312, 827, 586 is 1

2. How to calculate the greatest common divisor of 382, 312, 827, 586?

We can find the highest common divisor of 382, 312, 827, 586 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 382, 312, 827, 586 i.e 1.

3. How can I use the GCD of 382, 312, 827, 586Calculator?

Out the numbers 382, 312, 827, 586 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.