GCD of 358, 864, 958, 512 Calculator

Given Input numbers are 358, 864, 958, 512

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

Divisors of 358 :

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

1, 2, 179, 358

Divisors of 864 :

The positive integer divisors of 864 that completely divides 864 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

Divisors of 958 :

The positive integer divisors of 958 that completely divides 958 are.

1, 2, 479, 958

Divisors of 512 :

The positive integer divisors of 512 that completely divides 512 are.

1, 2, 4, 8, 16, 32, 64, 128, 256, 512

GCD of numbers is the greatest common divisor

So, the GCD (358, 864, 958, 512) = 2.

Given numbers are 358, 864, 958, 512

The list of prime factors of all numbers are

Prime factors of 358 are 2 x 179

Prime factors of 864 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 958 are 2 x 479

Prime factors of 512 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

The highest common occurrence is 2¹

Therefore, GCD of 358, 864, 958, 512 is 2.

Given numbers are 358, 864, 958, 512

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

Apply this formula for all numbers.

Step1:

LCM(358, 864) = 154656

GCD(358, 864) = ( 358 x 864 ) / 154656

= 358 / 864

= 358

Step2:

LCM(2, 958) = 958

GCD(2, 958) = ( 2 x 958 ) / 958

= 2 / 958

= 2

Step3:

LCM(2, 512) = 512

GCD(2, 512) = ( 2 x 512 ) / 512

= 2 / 512

= 2

So, Greatest Common Divisor of 358, 864, 958, 512 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 703, 319, 190, 998
• GCD of 968, 209, 227, 582
• GCD of 490, 372, 940, 964
• GCD of 989, 428, 506, 813
• GCD of 981, 373, 500, 856

Given numbers are 358, 864, 958, 512
The greatest common divisor of numbers 358, 864, 958, 512 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 358, 864, 958, 512 is 2.

1. What is the GCD of 358, 864, 958, 512?

GCD of given numbers 358, 864, 958, 512 is 2

2. How to calculate the greatest common divisor of 358, 864, 958, 512?

We can find the highest common divisor of 358, 864, 958, 512 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 358, 864, 958, 512 i.e 2.

3. How can I use the GCD of 358, 864, 958, 512Calculator?

Out the numbers 358, 864, 958, 512 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.