GCD of 480, 928, 47, 577 Calculator

Given Input numbers are 480, 928, 47, 577

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 928 :

The positive integer divisors of 928 that completely divides 928 are.

1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

Divisors of 47 :

The positive integer divisors of 47 that completely divides 47 are.

1, 47

Divisors of 577 :

The positive integer divisors of 577 that completely divides 577 are.

1, 577

GCD of numbers is the greatest common divisor

So, the GCD (480, 928, 47, 577) = 1.

Given numbers are 480, 928, 47, 577

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 928 are 2 x 2 x 2 x 2 x 2 x 29

Prime factors of 47 are 47

Prime factors of 577 are 577

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

Given numbers are 480, 928, 47, 577

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

Apply this formula for all numbers.

Step1:

LCM(480, 928) = 13920

GCD(480, 928) = ( 480 x 928 ) / 13920

= 480 / 928

= 480

Step2:

LCM(32, 47) = 1504

GCD(32, 47) = ( 32 x 47 ) / 1504

= 32 / 47

= 32

Step3:

LCM(1, 577) = 577

GCD(1, 577) = ( 1 x 577 ) / 577

= 1 / 577

= 1

So, Greatest Common Divisor of 480, 928, 47, 577 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 347, 914, 49, 801
• GCD of 364, 745, 36, 772
• GCD of 225, 143, 65, 890
• GCD of 523, 514, 61, 116
• GCD of 482, 180, 75, 590

Given numbers are 480, 928, 47, 577
The greatest common divisor of numbers 480, 928, 47, 577 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 480, 928, 47, 577 is 1.

1. What is the GCD of 480, 928, 47, 577?

GCD of given numbers 480, 928, 47, 577 is 1

2. How to calculate the greatest common divisor of 480, 928, 47, 577?

We can find the highest common divisor of 480, 928, 47, 577 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, 928, 47, 577 i.e 1.

3. How can I use the GCD of 480, 928, 47, 577Calculator?

Out the numbers 480, 928, 47, 577 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.