GCD of 320, 360, 232, 408 Calculator

Given Input numbers are 320, 360, 232, 408

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 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 232 :

The positive integer divisors of 232 that completely divides 232 are.

1, 2, 4, 8, 29, 58, 116, 232

Divisors of 408 :

The positive integer divisors of 408 that completely divides 408 are.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

GCD of numbers is the greatest common divisor

So, the GCD (320, 360, 232, 408) = 8.

Given numbers are 320, 360, 232, 408

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 360 are 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 232 are 2 x 2 x 2 x 29

Prime factors of 408 are 2 x 2 x 2 x 3 x 17

The highest common occurrence is 2³

Therefore, GCD of 320, 360, 232, 408 is 8.

Given numbers are 320, 360, 232, 408

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

Apply this formula for all numbers.

Step1:

LCM(320, 360) = 2880

GCD(320, 360) = ( 320 x 360 ) / 2880

= 320 / 360

= 320

Step2:

LCM(40, 232) = 1160

GCD(40, 232) = ( 40 x 232 ) / 1160

= 40 / 232

= 40

Step3:

LCM(8, 408) = 408

GCD(8, 408) = ( 8 x 408 ) / 408

= 8 / 408

= 8

So, Greatest Common Divisor of 320, 360, 232, 408 is 8

Here are some samples of GCD of Numbers calculations.

• GCD of 289, 894, 123, 802
• GCD of 605, 988, 483, 432
• GCD of 175, 169, 431, 652
• GCD of 560, 484, 674, 656
• GCD of 549, 641, 393, 997

Given numbers are 320, 360, 232, 408
The greatest common divisor of numbers 320, 360, 232, 408 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 320, 360, 232, 408 is 8.

1. What is the GCD of 320, 360, 232, 408?

GCD of given numbers 320, 360, 232, 408 is 8

2. How to calculate the greatest common divisor of 320, 360, 232, 408?

We can find the highest common divisor of 320, 360, 232, 408 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, 360, 232, 408 i.e 8.

3. How can I use the GCD of 320, 360, 232, 408Calculator?

Out the numbers 320, 360, 232, 408 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.