GCD of 309, 434, 424, 704 Calculator

Given Input numbers are 309, 434, 424, 704

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

Divisors of 309 :

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

1, 3, 103, 309

Divisors of 434 :

The positive integer divisors of 434 that completely divides 434 are.

1, 2, 7, 14, 31, 62, 217, 434

Divisors of 424 :

The positive integer divisors of 424 that completely divides 424 are.

1, 2, 4, 8, 53, 106, 212, 424

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

GCD of numbers is the greatest common divisor

So, the GCD (309, 434, 424, 704) = 1.

Given numbers are 309, 434, 424, 704

The list of prime factors of all numbers are

Prime factors of 309 are 3 x 103

Prime factors of 434 are 2 x 7 x 31

Prime factors of 424 are 2 x 2 x 2 x 53

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

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

Given numbers are 309, 434, 424, 704

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

Apply this formula for all numbers.

Step1:

LCM(309, 434) = 134106

GCD(309, 434) = ( 309 x 434 ) / 134106

= 309 / 434

= 309

Step2:

LCM(1, 424) = 424

GCD(1, 424) = ( 1 x 424 ) / 424

= 1 / 424

= 1

Step3:

LCM(1, 704) = 704

GCD(1, 704) = ( 1 x 704 ) / 704

= 1 / 704

= 1

So, Greatest Common Divisor of 309, 434, 424, 704 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 376, 737, 698, 137
• GCD of 191, 224, 689, 407
• GCD of 785, 378, 836, 555
• GCD of 790, 646, 327, 161
• GCD of 450, 570, 776, 702

Given numbers are 309, 434, 424, 704
The greatest common divisor of numbers 309, 434, 424, 704 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 309, 434, 424, 704 is 1.

1. What is the GCD of 309, 434, 424, 704?

GCD of given numbers 309, 434, 424, 704 is 1

2. How to calculate the greatest common divisor of 309, 434, 424, 704?

We can find the highest common divisor of 309, 434, 424, 704 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 309, 434, 424, 704 i.e 1.

3. How can I use the GCD of 309, 434, 424, 704Calculator?

Out the numbers 309, 434, 424, 704 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.