GCD of 320, 442, 414, 272 Calculator

Given Input numbers are 320, 442, 414, 272

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 442 :

The positive integer divisors of 442 that completely divides 442 are.

1, 2, 13, 17, 26, 34, 221, 442

Divisors of 414 :

The positive integer divisors of 414 that completely divides 414 are.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Divisors of 272 :

The positive integer divisors of 272 that completely divides 272 are.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

GCD of numbers is the greatest common divisor

So, the GCD (320, 442, 414, 272) = 2.

Given numbers are 320, 442, 414, 272

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 442 are 2 x 13 x 17

Prime factors of 414 are 2 x 3 x 3 x 23

Prime factors of 272 are 2 x 2 x 2 x 2 x 17

The highest common occurrence is 2¹

Therefore, GCD of 320, 442, 414, 272 is 2.

Given numbers are 320, 442, 414, 272

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

Apply this formula for all numbers.

Step1:

LCM(320, 442) = 70720

GCD(320, 442) = ( 320 x 442 ) / 70720

= 320 / 442

= 320

Step2:

LCM(2, 414) = 414

GCD(2, 414) = ( 2 x 414 ) / 414

= 2 / 414

= 2

Step3:

LCM(2, 272) = 272

GCD(2, 272) = ( 2 x 272 ) / 272

= 2 / 272

= 2

So, Greatest Common Divisor of 320, 442, 414, 272 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 611, 201, 801, 153
• GCD of 605, 673, 897, 450
• GCD of 367, 832, 536, 313
• GCD of 961, 165, 628, 951
• GCD of 931, 432, 406, 198

Given numbers are 320, 442, 414, 272
The greatest common divisor of numbers 320, 442, 414, 272 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 320, 442, 414, 272 is 2.

1. What is the GCD of 320, 442, 414, 272?

GCD of given numbers 320, 442, 414, 272 is 2

2. How to calculate the greatest common divisor of 320, 442, 414, 272?

We can find the highest common divisor of 320, 442, 414, 272 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, 442, 414, 272 i.e 2.

3. How can I use the GCD of 320, 442, 414, 272Calculator?

Out the numbers 320, 442, 414, 272 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.