GCD of 954, 324, 300, 584 Calculator

Given Input numbers are 954, 324, 300, 584

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

Divisors of 954 :

The positive integer divisors of 954 that completely divides 954 are.

1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

Divisors of 324 :

The positive integer divisors of 324 that completely divides 324 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

Divisors of 300 :

The positive integer divisors of 300 that completely divides 300 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 584 :

The positive integer divisors of 584 that completely divides 584 are.

1, 2, 4, 8, 73, 146, 292, 584

GCD of numbers is the greatest common divisor

So, the GCD (954, 324, 300, 584) = 2.

Given numbers are 954, 324, 300, 584

The list of prime factors of all numbers are

Prime factors of 954 are 2 x 3 x 3 x 53

Prime factors of 324 are 2 x 2 x 3 x 3 x 3 x 3

Prime factors of 300 are 2 x 2 x 3 x 5 x 5

Prime factors of 584 are 2 x 2 x 2 x 73

The highest common occurrence is 2¹

Therefore, GCD of 954, 324, 300, 584 is 2.

Given numbers are 954, 324, 300, 584

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

Apply this formula for all numbers.

Step1:

LCM(954, 324) = 17172

GCD(954, 324) = ( 954 x 324 ) / 17172

= 954 / 324

= 954

Step2:

LCM(18, 300) = 900

GCD(18, 300) = ( 18 x 300 ) / 900

= 18 / 300

= 18

Step3:

LCM(6, 584) = 1752

GCD(6, 584) = ( 6 x 584 ) / 1752

= 6 / 584

= 6

So, Greatest Common Divisor of 954, 324, 300, 584 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 146, 952, 795, 256
• GCD of 328, 117, 803, 930
• GCD of 638, 113, 245, 418
• GCD of 591, 384, 562, 759
• GCD of 912, 407, 430, 732

Given numbers are 954, 324, 300, 584
The greatest common divisor of numbers 954, 324, 300, 584 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 954, 324, 300, 584 is 2.

1. What is the GCD of 954, 324, 300, 584?

GCD of given numbers 954, 324, 300, 584 is 2

2. How to calculate the greatest common divisor of 954, 324, 300, 584?

We can find the highest common divisor of 954, 324, 300, 584 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 954, 324, 300, 584 i.e 2.

3. How can I use the GCD of 954, 324, 300, 584Calculator?

Out the numbers 954, 324, 300, 584 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.