GCD of 696, 320, 309, 231 Calculator

Given Input numbers are 696, 320, 309, 231

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

Divisors of 696 :

The positive integer divisors of 696 that completely divides 696 are.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Divisors of 320 :

The positive integer divisors of 320 that completely divides 320 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Divisors of 309 :

The positive integer divisors of 309 that completely divides 309 are.

1, 3, 103, 309

Divisors of 231 :

The positive integer divisors of 231 that completely divides 231 are.

1, 3, 7, 11, 21, 33, 77, 231

GCD of numbers is the greatest common divisor

So, the GCD (696, 320, 309, 231) = 1.

Given numbers are 696, 320, 309, 231

The list of prime factors of all numbers are

Prime factors of 696 are 2 x 2 x 2 x 3 x 29

Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime factors of 309 are 3 x 103

Prime factors of 231 are 3 x 7 x 11

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

Given numbers are 696, 320, 309, 231

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

Apply this formula for all numbers.

Step1:

LCM(696, 320) = 27840

GCD(696, 320) = ( 696 x 320 ) / 27840

= 696 / 320

= 696

Step2:

LCM(8, 309) = 2472

GCD(8, 309) = ( 8 x 309 ) / 2472

= 8 / 309

= 8

Step3:

LCM(1, 231) = 231

GCD(1, 231) = ( 1 x 231 ) / 231

= 1 / 231

= 1

So, Greatest Common Divisor of 696, 320, 309, 231 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 685, 437, 733, 664
• GCD of 894, 731, 624, 246
• GCD of 649, 461, 967, 635
• GCD of 312, 802, 771, 370
• GCD of 123, 593, 934, 291

Given numbers are 696, 320, 309, 231
The greatest common divisor of numbers 696, 320, 309, 231 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 696, 320, 309, 231 is 1.

1. What is the GCD of 696, 320, 309, 231?

GCD of given numbers 696, 320, 309, 231 is 1

2. How to calculate the greatest common divisor of 696, 320, 309, 231?

We can find the highest common divisor of 696, 320, 309, 231 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 696, 320, 309, 231 i.e 1.

3. How can I use the GCD of 696, 320, 309, 231Calculator?

Out the numbers 696, 320, 309, 231 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.