GCD of 864, 336, 196, 564 Calculator

Given Input numbers are 864, 336, 196, 564

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

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 336 :

The positive integer divisors of 336 that completely divides 336 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

Divisors of 196 :

The positive integer divisors of 196 that completely divides 196 are.

1, 2, 4, 7, 14, 28, 49, 98, 196

Divisors of 564 :

The positive integer divisors of 564 that completely divides 564 are.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

GCD of numbers is the greatest common divisor

So, the GCD (864, 336, 196, 564) = 4.

Given numbers are 864, 336, 196, 564

The list of prime factors of all numbers are

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

Prime factors of 336 are 2 x 2 x 2 x 2 x 3 x 7

Prime factors of 196 are 2 x 2 x 7 x 7

Prime factors of 564 are 2 x 2 x 3 x 47

The highest common occurrence is 2²

Therefore, GCD of 864, 336, 196, 564 is 4.

Given numbers are 864, 336, 196, 564

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

Apply this formula for all numbers.

Step1:

LCM(864, 336) = 6048

GCD(864, 336) = ( 864 x 336 ) / 6048

= 864 / 336

= 864

Step2:

LCM(48, 196) = 2352

GCD(48, 196) = ( 48 x 196 ) / 2352

= 48 / 196

= 48

Step3:

LCM(4, 564) = 564

GCD(4, 564) = ( 4 x 564 ) / 564

= 4 / 564

= 4

So, Greatest Common Divisor of 864, 336, 196, 564 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 327, 839, 389, 645
• GCD of 481, 995, 198, 245
• GCD of 626, 643, 725, 727
• GCD of 823, 729, 687, 912
• GCD of 679, 705, 981, 347

Given numbers are 864, 336, 196, 564
The greatest common divisor of numbers 864, 336, 196, 564 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 864, 336, 196, 564 is 4.

1. What is the GCD of 864, 336, 196, 564?

GCD of given numbers 864, 336, 196, 564 is 4

2. How to calculate the greatest common divisor of 864, 336, 196, 564?

We can find the highest common divisor of 864, 336, 196, 564 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 864, 336, 196, 564 i.e 4.

3. How can I use the GCD of 864, 336, 196, 564Calculator?

Out the numbers 864, 336, 196, 564 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.