GCD of 344, 434, 86, 480 Calculator

Given Input numbers are 344, 434, 86, 480

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

Divisors of 344 :

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

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

Divisors of 434 :

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

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

Divisors of 86 :

The positive integer divisors of 86 that completely divides 86 are.

1, 2, 43, 86

Divisors of 480 :

The positive integer divisors of 480 that completely divides 480 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

GCD of numbers is the greatest common divisor

So, the GCD (344, 434, 86, 480) = 2.

Given numbers are 344, 434, 86, 480

The list of prime factors of all numbers are

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

Prime factors of 434 are 2 x 7 x 31

Prime factors of 86 are 2 x 43

Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5

The highest common occurrence is 2¹

Therefore, GCD of 344, 434, 86, 480 is 2.

Given numbers are 344, 434, 86, 480

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

Apply this formula for all numbers.

Step1:

LCM(344, 434) = 74648

GCD(344, 434) = ( 344 x 434 ) / 74648

= 344 / 434

= 344

Step2:

LCM(2, 86) = 86

GCD(2, 86) = ( 2 x 86 ) / 86

= 2 / 86

= 2

Step3:

LCM(2, 480) = 480

GCD(2, 480) = ( 2 x 480 ) / 480

= 2 / 480

= 2

So, Greatest Common Divisor of 344, 434, 86, 480 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 912, 872, 24, 443
• GCD of 964, 858, 95, 932
• GCD of 151, 935, 44, 636
• GCD of 713, 481, 74, 833
• GCD of 463, 294, 76, 272

Given numbers are 344, 434, 86, 480
The greatest common divisor of numbers 344, 434, 86, 480 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 344, 434, 86, 480 is 2.

1. What is the GCD of 344, 434, 86, 480?

GCD of given numbers 344, 434, 86, 480 is 2

2. How to calculate the greatest common divisor of 344, 434, 86, 480?

We can find the highest common divisor of 344, 434, 86, 480 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 344, 434, 86, 480 i.e 2.

3. How can I use the GCD of 344, 434, 86, 480Calculator?

Out the numbers 344, 434, 86, 480 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.