GCD of 364, 298, 446, 864 Calculator

Given Input numbers are 364, 298, 446, 864

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

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 298 :

The positive integer divisors of 298 that completely divides 298 are.

1, 2, 149, 298

Divisors of 446 :

The positive integer divisors of 446 that completely divides 446 are.

1, 2, 223, 446

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

GCD of numbers is the greatest common divisor

So, the GCD (364, 298, 446, 864) = 2.

Given numbers are 364, 298, 446, 864

The list of prime factors of all numbers are

Prime factors of 364 are 2 x 2 x 7 x 13

Prime factors of 298 are 2 x 149

Prime factors of 446 are 2 x 223

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

The highest common occurrence is 2¹

Therefore, GCD of 364, 298, 446, 864 is 2.

Given numbers are 364, 298, 446, 864

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

Apply this formula for all numbers.

Step1:

LCM(364, 298) = 54236

GCD(364, 298) = ( 364 x 298 ) / 54236

= 364 / 298

= 364

Step2:

LCM(2, 446) = 446

GCD(2, 446) = ( 2 x 446 ) / 446

= 2 / 446

= 2

Step3:

LCM(2, 864) = 864

GCD(2, 864) = ( 2 x 864 ) / 864

= 2 / 864

= 2

So, Greatest Common Divisor of 364, 298, 446, 864 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 762, 805, 159, 732
• GCD of 981, 346, 242, 789
• GCD of 954, 720, 605, 466
• GCD of 172, 376, 855, 149
• GCD of 725, 179, 761, 744

Given numbers are 364, 298, 446, 864
The greatest common divisor of numbers 364, 298, 446, 864 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 364, 298, 446, 864 is 2.

1. What is the GCD of 364, 298, 446, 864?

GCD of given numbers 364, 298, 446, 864 is 2

2. How to calculate the greatest common divisor of 364, 298, 446, 864?

We can find the highest common divisor of 364, 298, 446, 864 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 364, 298, 446, 864 i.e 2.

3. How can I use the GCD of 364, 298, 446, 864Calculator?

Out the numbers 364, 298, 446, 864 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.