GCD of 585, 966, 945, 146 Calculator

Given Input numbers are 585, 966, 945, 146

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

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 966 :

The positive integer divisors of 966 that completely divides 966 are.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

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 146 :

The positive integer divisors of 146 that completely divides 146 are.

1, 2, 73, 146

GCD of numbers is the greatest common divisor

So, the GCD (585, 966, 945, 146) = 1.

Given numbers are 585, 966, 945, 146

The list of prime factors of all numbers are

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

Prime factors of 966 are 2 x 3 x 7 x 23

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

Prime factors of 146 are 2 x 73

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

Given numbers are 585, 966, 945, 146

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

Apply this formula for all numbers.

Step1:

LCM(585, 966) = 188370

GCD(585, 966) = ( 585 x 966 ) / 188370

= 585 / 966

= 585

Step2:

LCM(3, 945) = 945

GCD(3, 945) = ( 3 x 945 ) / 945

= 3 / 945

= 3

Step3:

LCM(3, 146) = 438

GCD(3, 146) = ( 3 x 146 ) / 438

= 3 / 146

= 3

So, Greatest Common Divisor of 585, 966, 945, 146 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 914, 939, 885, 473
• GCD of 870, 407, 775, 544
• GCD of 602, 680, 309, 321
• GCD of 353, 237, 305, 313
• GCD of 450, 620, 109, 987

Given numbers are 585, 966, 945, 146
The greatest common divisor of numbers 585, 966, 945, 146 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 585, 966, 945, 146 is 1.

1. What is the GCD of 585, 966, 945, 146?

GCD of given numbers 585, 966, 945, 146 is 1

2. How to calculate the greatest common divisor of 585, 966, 945, 146?

We can find the highest common divisor of 585, 966, 945, 146 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 585, 966, 945, 146 i.e 1.

3. How can I use the GCD of 585, 966, 945, 146Calculator?

Out the numbers 585, 966, 945, 146 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.