GCD of 800, 320, 923, 225 Calculator

Given Input numbers are 800, 320, 923, 225

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

Divisors of 800 :

The positive integer divisors of 800 that completely divides 800 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

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 923 :

The positive integer divisors of 923 that completely divides 923 are.

1, 13, 71, 923

Divisors of 225 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (800, 320, 923, 225) = 1.

Given numbers are 800, 320, 923, 225

The list of prime factors of all numbers are

Prime factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5

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

Prime factors of 923 are 13 x 71

Prime factors of 225 are 3 x 3 x 5 x 5

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

Given numbers are 800, 320, 923, 225

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

Apply this formula for all numbers.

Step1:

LCM(800, 320) = 1600

GCD(800, 320) = ( 800 x 320 ) / 1600

= 800 / 320

= 800

Step2:

LCM(160, 923) = 147680

GCD(160, 923) = ( 160 x 923 ) / 147680

= 160 / 923

= 160

Step3:

LCM(1, 225) = 225

GCD(1, 225) = ( 1 x 225 ) / 225

= 1 / 225

= 1

So, Greatest Common Divisor of 800, 320, 923, 225 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 668, 279, 644, 493
• GCD of 607, 561, 698, 438
• GCD of 712, 946, 805, 743
• GCD of 328, 955, 216, 723
• GCD of 553, 520, 246, 445

Given numbers are 800, 320, 923, 225
The greatest common divisor of numbers 800, 320, 923, 225 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 800, 320, 923, 225 is 1.

1. What is the GCD of 800, 320, 923, 225?

GCD of given numbers 800, 320, 923, 225 is 1

2. How to calculate the greatest common divisor of 800, 320, 923, 225?

We can find the highest common divisor of 800, 320, 923, 225 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 800, 320, 923, 225 i.e 1.

3. How can I use the GCD of 800, 320, 923, 225Calculator?

Out the numbers 800, 320, 923, 225 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.