GCD of 480, 369, 506, 423 Calculator

Given Input numbers are 480, 369, 506, 423

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 369 :

The positive integer divisors of 369 that completely divides 369 are.

1, 3, 9, 41, 123, 369

Divisors of 506 :

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

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

Divisors of 423 :

The positive integer divisors of 423 that completely divides 423 are.

1, 3, 9, 47, 141, 423

GCD of numbers is the greatest common divisor

So, the GCD (480, 369, 506, 423) = 1.

Given numbers are 480, 369, 506, 423

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 369 are 3 x 3 x 41

Prime factors of 506 are 2 x 11 x 23

Prime factors of 423 are 3 x 3 x 47

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

Given numbers are 480, 369, 506, 423

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

Apply this formula for all numbers.

Step1:

LCM(480, 369) = 59040

GCD(480, 369) = ( 480 x 369 ) / 59040

= 480 / 369

= 480

Step2:

LCM(3, 506) = 1518

GCD(3, 506) = ( 3 x 506 ) / 1518

= 3 / 506

= 3

Step3:

LCM(1, 423) = 423

GCD(1, 423) = ( 1 x 423 ) / 423

= 1 / 423

= 1

So, Greatest Common Divisor of 480, 369, 506, 423 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 827, 640, 407, 989
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Given numbers are 480, 369, 506, 423
The greatest common divisor of numbers 480, 369, 506, 423 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 480, 369, 506, 423 is 1.

1. What is the GCD of 480, 369, 506, 423?

GCD of given numbers 480, 369, 506, 423 is 1

2. How to calculate the greatest common divisor of 480, 369, 506, 423?

We can find the highest common divisor of 480, 369, 506, 423 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, 369, 506, 423 i.e 1.

3. How can I use the GCD of 480, 369, 506, 423Calculator?

Out the numbers 480, 369, 506, 423 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.