GCD of 864, 540, 708, 496 Calculator

Given Input numbers are 864, 540, 708, 496

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 540 :

The positive integer divisors of 540 that completely divides 540 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

Divisors of 708 :

The positive integer divisors of 708 that completely divides 708 are.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 496 :

The positive integer divisors of 496 that completely divides 496 are.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

GCD of numbers is the greatest common divisor

So, the GCD (864, 540, 708, 496) = 4.

Given numbers are 864, 540, 708, 496

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 540 are 2 x 2 x 3 x 3 x 3 x 5

Prime factors of 708 are 2 x 2 x 3 x 59

Prime factors of 496 are 2 x 2 x 2 x 2 x 31

The highest common occurrence is 2²

Therefore, GCD of 864, 540, 708, 496 is 4.

Given numbers are 864, 540, 708, 496

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

Apply this formula for all numbers.

Step1:

LCM(864, 540) = 4320

GCD(864, 540) = ( 864 x 540 ) / 4320

= 864 / 540

= 864

Step2:

LCM(108, 708) = 6372

GCD(108, 708) = ( 108 x 708 ) / 6372

= 108 / 708

= 108

Step3:

LCM(12, 496) = 1488

GCD(12, 496) = ( 12 x 496 ) / 1488

= 12 / 496

= 12

So, Greatest Common Divisor of 864, 540, 708, 496 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 302, 932, 752, 986
• GCD of 822, 695, 347, 894
• GCD of 375, 954, 140, 222
• GCD of 266, 518, 336, 545
• GCD of 473, 811, 569, 329

Given numbers are 864, 540, 708, 496
The greatest common divisor of numbers 864, 540, 708, 496 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 864, 540, 708, 496 is 4.

1. What is the GCD of 864, 540, 708, 496?

GCD of given numbers 864, 540, 708, 496 is 4

2. How to calculate the greatest common divisor of 864, 540, 708, 496?

We can find the highest common divisor of 864, 540, 708, 496 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, 540, 708, 496 i.e 4.

3. How can I use the GCD of 864, 540, 708, 496Calculator?

Out the numbers 864, 540, 708, 496 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.