GCD of 150, 585, 498, 809 Calculator

Given Input numbers are 150, 585, 498, 809

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

Divisors of 150 :

The positive integer divisors of 150 that completely divides 150 are.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Divisors of 585 :

The positive integer divisors of 585 that completely divides 585 are.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

Divisors of 498 :

The positive integer divisors of 498 that completely divides 498 are.

1, 2, 3, 6, 83, 166, 249, 498

Divisors of 809 :

The positive integer divisors of 809 that completely divides 809 are.

1, 809

GCD of numbers is the greatest common divisor

So, the GCD (150, 585, 498, 809) = 1.

Given numbers are 150, 585, 498, 809

The list of prime factors of all numbers are

Prime factors of 150 are 2 x 3 x 5 x 5

Prime factors of 585 are 3 x 3 x 5 x 13

Prime factors of 498 are 2 x 3 x 83

Prime factors of 809 are 809

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

Given numbers are 150, 585, 498, 809

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

Apply this formula for all numbers.

Step1:

LCM(150, 585) = 5850

GCD(150, 585) = ( 150 x 585 ) / 5850

= 150 / 585

= 150

Step2:

LCM(15, 498) = 2490

GCD(15, 498) = ( 15 x 498 ) / 2490

= 15 / 498

= 15

Step3:

LCM(3, 809) = 2427

GCD(3, 809) = ( 3 x 809 ) / 2427

= 3 / 809

= 3

So, Greatest Common Divisor of 150, 585, 498, 809 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 639, 684, 214, 506
• GCD of 766, 777, 392, 439
• GCD of 208, 587, 197, 848
• GCD of 611, 325, 349, 382
• GCD of 880, 270, 993, 146

Given numbers are 150, 585, 498, 809
The greatest common divisor of numbers 150, 585, 498, 809 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 150, 585, 498, 809 is 1.

1. What is the GCD of 150, 585, 498, 809?

GCD of given numbers 150, 585, 498, 809 is 1

2. How to calculate the greatest common divisor of 150, 585, 498, 809?

We can find the highest common divisor of 150, 585, 498, 809 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 150, 585, 498, 809 i.e 1.

3. How can I use the GCD of 150, 585, 498, 809Calculator?

Out the numbers 150, 585, 498, 809 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.