GCD of 234, 706, 390, 344 Calculator

Given Input numbers are 234, 706, 390, 344

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

Divisors of 234 :

The positive integer divisors of 234 that completely divides 234 are.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

Divisors of 706 :

The positive integer divisors of 706 that completely divides 706 are.

1, 2, 353, 706

Divisors of 390 :

The positive integer divisors of 390 that completely divides 390 are.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

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 (234, 706, 390, 344) = 2.

Given numbers are 234, 706, 390, 344

The list of prime factors of all numbers are

Prime factors of 234 are 2 x 3 x 3 x 13

Prime factors of 706 are 2 x 353

Prime factors of 390 are 2 x 3 x 5 x 13

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

The highest common occurrence is 2¹

Therefore, GCD of 234, 706, 390, 344 is 2.

Given numbers are 234, 706, 390, 344

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

Apply this formula for all numbers.

Step1:

LCM(234, 706) = 82602

GCD(234, 706) = ( 234 x 706 ) / 82602

= 234 / 706

= 234

Step2:

LCM(2, 390) = 390

GCD(2, 390) = ( 2 x 390 ) / 390

= 2 / 390

= 2

Step3:

LCM(2, 344) = 344

GCD(2, 344) = ( 2 x 344 ) / 344

= 2 / 344

= 2

So, Greatest Common Divisor of 234, 706, 390, 344 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 211, 845, 158, 436
• GCD of 265, 814, 926, 552
• GCD of 924, 795, 638, 550
• GCD of 670, 984, 209, 152
• GCD of 331, 221, 492, 339

Given numbers are 234, 706, 390, 344
The greatest common divisor of numbers 234, 706, 390, 344 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 234, 706, 390, 344 is 2.

1. What is the GCD of 234, 706, 390, 344?

GCD of given numbers 234, 706, 390, 344 is 2

2. How to calculate the greatest common divisor of 234, 706, 390, 344?

We can find the highest common divisor of 234, 706, 390, 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 234, 706, 390, 344 i.e 2.

3. How can I use the GCD of 234, 706, 390, 344Calculator?

Out the numbers 234, 706, 390, 344 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.