GCD of 864, 200, 542, 320 Calculator

Given Input numbers are 864, 200, 542, 320

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 200 :

The positive integer divisors of 200 that completely divides 200 are.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Divisors of 542 :

The positive integer divisors of 542 that completely divides 542 are.

1, 2, 271, 542

Divisors of 320 :

The positive integer divisors of 320 that completely divides 320 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

GCD of numbers is the greatest common divisor

So, the GCD (864, 200, 542, 320) = 2.

Given numbers are 864, 200, 542, 320

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 200 are 2 x 2 x 2 x 5 x 5

Prime factors of 542 are 2 x 271

Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5

The highest common occurrence is 2¹

Therefore, GCD of 864, 200, 542, 320 is 2.

Given numbers are 864, 200, 542, 320

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

Apply this formula for all numbers.

Step1:

LCM(864, 200) = 21600

GCD(864, 200) = ( 864 x 200 ) / 21600

= 864 / 200

= 864

Step2:

LCM(8, 542) = 2168

GCD(8, 542) = ( 8 x 542 ) / 2168

= 8 / 542

= 8

Step3:

LCM(2, 320) = 320

GCD(2, 320) = ( 2 x 320 ) / 320

= 2 / 320

= 2

So, Greatest Common Divisor of 864, 200, 542, 320 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 631, 628, 281, 384
• GCD of 318, 848, 614, 721
• GCD of 616, 264, 691, 305
• GCD of 728, 240, 834, 359
• GCD of 417, 508, 512, 359

Given numbers are 864, 200, 542, 320
The greatest common divisor of numbers 864, 200, 542, 320 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 864, 200, 542, 320 is 2.

1. What is the GCD of 864, 200, 542, 320?

GCD of given numbers 864, 200, 542, 320 is 2

2. How to calculate the greatest common divisor of 864, 200, 542, 320?

We can find the highest common divisor of 864, 200, 542, 320 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, 200, 542, 320 i.e 2.

3. How can I use the GCD of 864, 200, 542, 320Calculator?

Out the numbers 864, 200, 542, 320 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.