GCD of 320, 225, 12, 574 Calculator

Given Input numbers are 320, 225, 12, 574

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 225 :

The positive integer divisors of 225 that completely divides 225 are.

1, 3, 5, 9, 15, 25, 45, 75, 225

Divisors of 12 :

The positive integer divisors of 12 that completely divides 12 are.

1, 2, 3, 4, 6, 12

Divisors of 574 :

The positive integer divisors of 574 that completely divides 574 are.

1, 2, 7, 14, 41, 82, 287, 574

GCD of numbers is the greatest common divisor

So, the GCD (320, 225, 12, 574) = 1.

Given numbers are 320, 225, 12, 574

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 225 are 3 x 3 x 5 x 5

Prime factors of 12 are 2 x 2 x 3

Prime factors of 574 are 2 x 7 x 41

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 320, 225, 12, 574

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

Apply this formula for all numbers.

Step1:

LCM(320, 225) = 14400

GCD(320, 225) = ( 320 x 225 ) / 14400

= 320 / 225

= 320

Step2:

LCM(5, 12) = 60

GCD(5, 12) = ( 5 x 12 ) / 60

= 5 / 12

= 5

Step3:

LCM(1, 574) = 574

GCD(1, 574) = ( 1 x 574 ) / 574

= 1 / 574

= 1

So, Greatest Common Divisor of 320, 225, 12, 574 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 269, 283, 64, 691
• GCD of 350, 770, 56, 992
• GCD of 595, 151, 30, 288
• GCD of 539, 584, 41, 491
• GCD of 430, 452, 59, 452

Given numbers are 320, 225, 12, 574
The greatest common divisor of numbers 320, 225, 12, 574 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 320, 225, 12, 574 is 1.

1. What is the GCD of 320, 225, 12, 574?

GCD of given numbers 320, 225, 12, 574 is 1

2. How to calculate the greatest common divisor of 320, 225, 12, 574?

We can find the highest common divisor of 320, 225, 12, 574 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, 225, 12, 574 i.e 1.

3. How can I use the GCD of 320, 225, 12, 574Calculator?

Out the numbers 320, 225, 12, 574 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.