GCD of 320, 344, 730, 350 Calculator

Given Input numbers are 320, 344, 730, 350

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

Divisors of 320 :

The positive integer divisors of 320 that completely divides 320 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Divisors of 344 :

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

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

Divisors of 730 :

The positive integer divisors of 730 that completely divides 730 are.

1, 2, 5, 10, 73, 146, 365, 730

Divisors of 350 :

The positive integer divisors of 350 that completely divides 350 are.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

GCD of numbers is the greatest common divisor

So, the GCD (320, 344, 730, 350) = 2.

Given numbers are 320, 344, 730, 350

The list of prime factors of all numbers are

Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5

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

Prime factors of 730 are 2 x 5 x 73

Prime factors of 350 are 2 x 5 x 5 x 7

The highest common occurrence is 2¹

Therefore, GCD of 320, 344, 730, 350 is 2.

Given numbers are 320, 344, 730, 350

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

Apply this formula for all numbers.

Step1:

LCM(320, 344) = 13760

GCD(320, 344) = ( 320 x 344 ) / 13760

= 320 / 344

= 320

Step2:

LCM(8, 730) = 2920

GCD(8, 730) = ( 8 x 730 ) / 2920

= 8 / 730

= 8

Step3:

LCM(2, 350) = 350

GCD(2, 350) = ( 2 x 350 ) / 350

= 2 / 350

= 2

So, Greatest Common Divisor of 320, 344, 730, 350 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 537, 172, 493, 222
• GCD of 888, 342, 290, 679
• GCD of 548, 500, 735, 687
• GCD of 122, 658, 529, 877
• GCD of 506, 307, 339, 498

Given numbers are 320, 344, 730, 350
The greatest common divisor of numbers 320, 344, 730, 350 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 320, 344, 730, 350 is 2.

1. What is the GCD of 320, 344, 730, 350?

GCD of given numbers 320, 344, 730, 350 is 2

2. How to calculate the greatest common divisor of 320, 344, 730, 350?

We can find the highest common divisor of 320, 344, 730, 350 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 320, 344, 730, 350 i.e 2.

3. How can I use the GCD of 320, 344, 730, 350Calculator?

Out the numbers 320, 344, 730, 350 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.