GCD of 704, 497, 392, 309 Calculator

Given Input numbers are 704, 497, 392, 309

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 497 :

The positive integer divisors of 497 that completely divides 497 are.

1, 7, 71, 497

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 309 :

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

1, 3, 103, 309

GCD of numbers is the greatest common divisor

So, the GCD (704, 497, 392, 309) = 1.

Given numbers are 704, 497, 392, 309

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 497 are 7 x 71

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

Prime factors of 309 are 3 x 103

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

Given numbers are 704, 497, 392, 309

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

Apply this formula for all numbers.

Step1:

LCM(704, 497) = 349888

GCD(704, 497) = ( 704 x 497 ) / 349888

= 704 / 497

= 704

Step2:

LCM(1, 392) = 392

GCD(1, 392) = ( 1 x 392 ) / 392

= 1 / 392

= 1

Step3:

LCM(1, 309) = 309

GCD(1, 309) = ( 1 x 309 ) / 309

= 1 / 309

= 1

So, Greatest Common Divisor of 704, 497, 392, 309 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 279, 146, 955, 789
• GCD of 696, 616, 251, 468
• GCD of 650, 652, 947, 667
• GCD of 562, 705, 778, 927
• GCD of 733, 314, 300, 235

Given numbers are 704, 497, 392, 309
The greatest common divisor of numbers 704, 497, 392, 309 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 704, 497, 392, 309 is 1.

1. What is the GCD of 704, 497, 392, 309?

GCD of given numbers 704, 497, 392, 309 is 1

2. How to calculate the greatest common divisor of 704, 497, 392, 309?

We can find the highest common divisor of 704, 497, 392, 309 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, 497, 392, 309 i.e 1.

3. How can I use the GCD of 704, 497, 392, 309Calculator?

Out the numbers 704, 497, 392, 309 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.