GCD of 434, 352, 309, 344 Calculator

Given Input numbers are 434, 352, 309, 344

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

Divisors of 434 :

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

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

Divisors of 352 :

The positive integer divisors of 352 that completely divides 352 are.

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

Divisors of 309 :

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

1, 3, 103, 309

Divisors of 344 :

The positive integer divisors of 344 that completely divides 344 are.

1, 2, 4, 8, 43, 86, 172, 344

GCD of numbers is the greatest common divisor

So, the GCD (434, 352, 309, 344) = 1.

Given numbers are 434, 352, 309, 344

The list of prime factors of all numbers are

Prime factors of 434 are 2 x 7 x 31

Prime factors of 352 are 2 x 2 x 2 x 2 x 2 x 11

Prime factors of 309 are 3 x 103

Prime factors of 344 are 2 x 2 x 2 x 43

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

Given numbers are 434, 352, 309, 344

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

Apply this formula for all numbers.

Step1:

LCM(434, 352) = 76384

GCD(434, 352) = ( 434 x 352 ) / 76384

= 434 / 352

= 434

Step2:

LCM(2, 309) = 618

GCD(2, 309) = ( 2 x 309 ) / 618

= 2 / 309

= 2

Step3:

LCM(1, 344) = 344

GCD(1, 344) = ( 1 x 344 ) / 344

= 1 / 344

= 1

So, Greatest Common Divisor of 434, 352, 309, 344 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 195, 735, 419, 301
• GCD of 918, 720, 344, 560
• GCD of 355, 650, 151, 748
• GCD of 448, 281, 958, 760
• GCD of 154, 770, 765, 360

Given numbers are 434, 352, 309, 344
The greatest common divisor of numbers 434, 352, 309, 344 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 434, 352, 309, 344 is 1.

1. What is the GCD of 434, 352, 309, 344?

GCD of given numbers 434, 352, 309, 344 is 1

2. How to calculate the greatest common divisor of 434, 352, 309, 344?

We can find the highest common divisor of 434, 352, 309, 344 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 434, 352, 309, 344 i.e 1.

3. How can I use the GCD of 434, 352, 309, 344Calculator?

Out the numbers 434, 352, 309, 344 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.