GCD of 960, 424, 358, 582 Calculator

Given Input numbers are 960, 424, 358, 582

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 424 :

The positive integer divisors of 424 that completely divides 424 are.

1, 2, 4, 8, 53, 106, 212, 424

Divisors of 358 :

The positive integer divisors of 358 that completely divides 358 are.

1, 2, 179, 358

Divisors of 582 :

The positive integer divisors of 582 that completely divides 582 are.

1, 2, 3, 6, 97, 194, 291, 582

GCD of numbers is the greatest common divisor

So, the GCD (960, 424, 358, 582) = 2.

Given numbers are 960, 424, 358, 582

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 424 are 2 x 2 x 2 x 53

Prime factors of 358 are 2 x 179

Prime factors of 582 are 2 x 3 x 97

The highest common occurrence is 2¹

Therefore, GCD of 960, 424, 358, 582 is 2.

Given numbers are 960, 424, 358, 582

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

Apply this formula for all numbers.

Step1:

LCM(960, 424) = 50880

GCD(960, 424) = ( 960 x 424 ) / 50880

= 960 / 424

= 960

Step2:

LCM(8, 358) = 1432

GCD(8, 358) = ( 8 x 358 ) / 1432

= 8 / 358

= 8

Step3:

LCM(2, 582) = 582

GCD(2, 582) = ( 2 x 582 ) / 582

= 2 / 582

= 2

So, Greatest Common Divisor of 960, 424, 358, 582 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 198, 347, 935, 880
• GCD of 974, 303, 803, 989
• GCD of 966, 175, 399, 783
• GCD of 467, 560, 324, 156
• GCD of 919, 111, 334, 173

Given numbers are 960, 424, 358, 582
The greatest common divisor of numbers 960, 424, 358, 582 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 960, 424, 358, 582 is 2.

1. What is the GCD of 960, 424, 358, 582?

GCD of given numbers 960, 424, 358, 582 is 2

2. How to calculate the greatest common divisor of 960, 424, 358, 582?

We can find the highest common divisor of 960, 424, 358, 582 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, 424, 358, 582 i.e 2.

3. How can I use the GCD of 960, 424, 358, 582Calculator?

Out the numbers 960, 424, 358, 582 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.