GCD of 480, 445, 592, 800 Calculator

Given Input numbers are 480, 445, 592, 800

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

Divisors of 480 :

The positive integer divisors of 480 that completely divides 480 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

Divisors of 445 :

The positive integer divisors of 445 that completely divides 445 are.

1, 5, 89, 445

Divisors of 592 :

The positive integer divisors of 592 that completely divides 592 are.

1, 2, 4, 8, 16, 37, 74, 148, 296, 592

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

GCD of numbers is the greatest common divisor

So, the GCD (480, 445, 592, 800) = 1.

Given numbers are 480, 445, 592, 800

The list of prime factors of all numbers are

Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 445 are 5 x 89

Prime factors of 592 are 2 x 2 x 2 x 2 x 37

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

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

Given numbers are 480, 445, 592, 800

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

Apply this formula for all numbers.

Step1:

LCM(480, 445) = 42720

GCD(480, 445) = ( 480 x 445 ) / 42720

= 480 / 445

= 480

Step2:

LCM(5, 592) = 2960

GCD(5, 592) = ( 5 x 592 ) / 2960

= 5 / 592

= 5

Step3:

LCM(1, 800) = 800

GCD(1, 800) = ( 1 x 800 ) / 800

= 1 / 800

= 1

So, Greatest Common Divisor of 480, 445, 592, 800 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 165, 376, 846, 167
• GCD of 618, 430, 902, 785
• GCD of 861, 517, 669, 348
• GCD of 460, 516, 118, 252
• GCD of 644, 107, 633, 114

Given numbers are 480, 445, 592, 800
The greatest common divisor of numbers 480, 445, 592, 800 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 480, 445, 592, 800 is 1.

1. What is the GCD of 480, 445, 592, 800?

GCD of given numbers 480, 445, 592, 800 is 1

2. How to calculate the greatest common divisor of 480, 445, 592, 800?

We can find the highest common divisor of 480, 445, 592, 800 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 480, 445, 592, 800 i.e 1.

3. How can I use the GCD of 480, 445, 592, 800Calculator?

Out the numbers 480, 445, 592, 800 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.