GCD of 960, 558, 909, 441 Calculator

Given Input numbers are 960, 558, 909, 441

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

Divisors of 960 :

The positive integer divisors of 960 that completely divides 960 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Divisors of 558 :

The positive integer divisors of 558 that completely divides 558 are.

1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

Divisors of 909 :

The positive integer divisors of 909 that completely divides 909 are.

1, 3, 9, 101, 303, 909

Divisors of 441 :

The positive integer divisors of 441 that completely divides 441 are.

1, 3, 7, 9, 21, 49, 63, 147, 441

GCD of numbers is the greatest common divisor

So, the GCD (960, 558, 909, 441) = 3.

Given numbers are 960, 558, 909, 441

The list of prime factors of all numbers are

Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 558 are 2 x 3 x 3 x 31

Prime factors of 909 are 3 x 3 x 101

Prime factors of 441 are 3 x 3 x 7 x 7

The highest common occurrence is 3¹

Therefore, GCD of 960, 558, 909, 441 is 3.

Given numbers are 960, 558, 909, 441

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

Apply this formula for all numbers.

Step1:

LCM(960, 558) = 89280

GCD(960, 558) = ( 960 x 558 ) / 89280

= 960 / 558

= 960

Step2:

LCM(6, 909) = 1818

GCD(6, 909) = ( 6 x 909 ) / 1818

= 6 / 909

= 6

Step3:

LCM(3, 441) = 441

GCD(3, 441) = ( 3 x 441 ) / 441

= 3 / 441

= 3

So, Greatest Common Divisor of 960, 558, 909, 441 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 321, 421, 278, 576
• GCD of 657, 562, 105, 735
• GCD of 602, 562, 965, 706
• GCD of 213, 704, 590, 817
• GCD of 495, 529, 529, 495

Given numbers are 960, 558, 909, 441
The greatest common divisor of numbers 960, 558, 909, 441 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 960, 558, 909, 441 is 3.

1. What is the GCD of 960, 558, 909, 441?

GCD of given numbers 960, 558, 909, 441 is 3

2. How to calculate the greatest common divisor of 960, 558, 909, 441?

We can find the highest common divisor of 960, 558, 909, 441 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 960, 558, 909, 441 i.e 3.

3. How can I use the GCD of 960, 558, 909, 441Calculator?

Out the numbers 960, 558, 909, 441 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.