GCD of 704, 392, 311, 687 Calculator

Given Input numbers are 704, 392, 311, 687

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

Divisors of 704 :

The positive integer divisors of 704 that completely divides 704 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 392 :

The positive integer divisors of 392 that completely divides 392 are.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

Divisors of 311 :

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

1, 311

Divisors of 687 :

The positive integer divisors of 687 that completely divides 687 are.

1, 3, 229, 687

GCD of numbers is the greatest common divisor

So, the GCD (704, 392, 311, 687) = 1.

Given numbers are 704, 392, 311, 687

The list of prime factors of all numbers are

Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime factors of 392 are 2 x 2 x 2 x 7 x 7

Prime factors of 311 are 311

Prime factors of 687 are 3 x 229

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

Given numbers are 704, 392, 311, 687

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

Apply this formula for all numbers.

Step1:

LCM(704, 392) = 34496

GCD(704, 392) = ( 704 x 392 ) / 34496

= 704 / 392

= 704

Step2:

LCM(8, 311) = 2488

GCD(8, 311) = ( 8 x 311 ) / 2488

= 8 / 311

= 8

Step3:

LCM(1, 687) = 687

GCD(1, 687) = ( 1 x 687 ) / 687

= 1 / 687

= 1

So, Greatest Common Divisor of 704, 392, 311, 687 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 237, 604, 291, 555
• GCD of 330, 260, 733, 975
• GCD of 470, 709, 485, 116
• GCD of 736, 248, 611, 487
• GCD of 337, 402, 952, 601

Given numbers are 704, 392, 311, 687
The greatest common divisor of numbers 704, 392, 311, 687 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 704, 392, 311, 687 is 1.

1. What is the GCD of 704, 392, 311, 687?

GCD of given numbers 704, 392, 311, 687 is 1

2. How to calculate the greatest common divisor of 704, 392, 311, 687?

We can find the highest common divisor of 704, 392, 311, 687 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 704, 392, 311, 687 i.e 1.

3. How can I use the GCD of 704, 392, 311, 687Calculator?

Out the numbers 704, 392, 311, 687 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.