GCD of 150, 285, 945, 585 Calculator

Given Input numbers are 150, 285, 945, 585

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 285 :

The positive integer divisors of 285 that completely divides 285 are.

1, 3, 5, 15, 19, 57, 95, 285

Divisors of 945 :

The positive integer divisors of 945 that completely divides 945 are.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

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

GCD of numbers is the greatest common divisor

So, the GCD (150, 285, 945, 585) = 15.

Given numbers are 150, 285, 945, 585

The list of prime factors of all numbers are

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

Prime factors of 285 are 3 x 5 x 19

Prime factors of 945 are 3 x 3 x 3 x 5 x 7

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

The highest common occurrence is 3¹ x 5¹

Therefore, GCD of 150, 285, 945, 585 is 15.

Given numbers are 150, 285, 945, 585

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

Apply this formula for all numbers.

Step1:

LCM(150, 285) = 2850

GCD(150, 285) = ( 150 x 285 ) / 2850

= 150 / 285

= 150

Step2:

LCM(15, 945) = 945

GCD(15, 945) = ( 15 x 945 ) / 945

= 15 / 945

= 15

Step3:

LCM(15, 585) = 585

GCD(15, 585) = ( 15 x 585 ) / 585

= 15 / 585

= 15

So, Greatest Common Divisor of 150, 285, 945, 585 is 15

Here are some samples of GCD of Numbers calculations.

• GCD of 223, 888, 912, 443
• GCD of 595, 175, 130, 921
• GCD of 984, 495, 365, 513
• GCD of 137, 654, 759, 682
• GCD of 531, 290, 106, 291

Given numbers are 150, 285, 945, 585
The greatest common divisor of numbers 150, 285, 945, 585 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 150, 285, 945, 585 is 15.

1. What is the GCD of 150, 285, 945, 585?

GCD of given numbers 150, 285, 945, 585 is 15

2. How to calculate the greatest common divisor of 150, 285, 945, 585?

We can find the highest common divisor of 150, 285, 945, 585 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, 285, 945, 585 i.e 15.

3. How can I use the GCD of 150, 285, 945, 585Calculator?

Out the numbers 150, 285, 945, 585 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.