GCD of 506, 483, 89, 360 Calculator

Given Input numbers are 506, 483, 89, 360

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

Divisors of 506 :

The positive integer divisors of 506 that completely divides 506 are.

1, 2, 11, 22, 23, 46, 253, 506

Divisors of 483 :

The positive integer divisors of 483 that completely divides 483 are.

1, 3, 7, 21, 23, 69, 161, 483

Divisors of 89 :

The positive integer divisors of 89 that completely divides 89 are.

1, 89

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

GCD of numbers is the greatest common divisor

So, the GCD (506, 483, 89, 360) = 1.

Given numbers are 506, 483, 89, 360

The list of prime factors of all numbers are

Prime factors of 506 are 2 x 11 x 23

Prime factors of 483 are 3 x 7 x 23

Prime factors of 89 are 89

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

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

Given numbers are 506, 483, 89, 360

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

Apply this formula for all numbers.

Step1:

LCM(506, 483) = 10626

GCD(506, 483) = ( 506 x 483 ) / 10626

= 506 / 483

= 506

Step2:

LCM(23, 89) = 2047

GCD(23, 89) = ( 23 x 89 ) / 2047

= 23 / 89

= 23

Step3:

LCM(1, 360) = 360

GCD(1, 360) = ( 1 x 360 ) / 360

= 1 / 360

= 1

So, Greatest Common Divisor of 506, 483, 89, 360 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 164, 535, 76, 595
• GCD of 253, 536, 71, 402
• GCD of 966, 602, 74, 734
• GCD of 636, 478, 52, 760
• GCD of 125, 738, 73, 791

Given numbers are 506, 483, 89, 360
The greatest common divisor of numbers 506, 483, 89, 360 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 506, 483, 89, 360 is 1.

1. What is the GCD of 506, 483, 89, 360?

GCD of given numbers 506, 483, 89, 360 is 1

2. How to calculate the greatest common divisor of 506, 483, 89, 360?

We can find the highest common divisor of 506, 483, 89, 360 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 506, 483, 89, 360 i.e 1.

3. How can I use the GCD of 506, 483, 89, 360Calculator?

Out the numbers 506, 483, 89, 360 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.