GCD of 120, 543, 752, 864 Calculator

Given Input numbers are 120, 543, 752, 864

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

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 543 :

The positive integer divisors of 543 that completely divides 543 are.

1, 3, 181, 543

Divisors of 752 :

The positive integer divisors of 752 that completely divides 752 are.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

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 (120, 543, 752, 864) = 1.

Given numbers are 120, 543, 752, 864

The list of prime factors of all numbers are

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

Prime factors of 543 are 3 x 181

Prime factors of 752 are 2 x 2 x 2 x 2 x 47

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

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 120, 543, 752, 864

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

Apply this formula for all numbers.

Step1:

LCM(120, 543) = 21720

GCD(120, 543) = ( 120 x 543 ) / 21720

= 120 / 543

= 120

Step2:

LCM(3, 752) = 2256

GCD(3, 752) = ( 3 x 752 ) / 2256

= 3 / 752

= 3

Step3:

LCM(1, 864) = 864

GCD(1, 864) = ( 1 x 864 ) / 864

= 1 / 864

= 1

So, Greatest Common Divisor of 120, 543, 752, 864 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 672, 675, 551, 669
• GCD of 987, 301, 903, 805
• GCD of 671, 151, 431, 944
• GCD of 607, 456, 929, 362
• GCD of 326, 687, 949, 631

Given numbers are 120, 543, 752, 864
The greatest common divisor of numbers 120, 543, 752, 864 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 543, 752, 864 is 1.

1. What is the GCD of 120, 543, 752, 864?

GCD of given numbers 120, 543, 752, 864 is 1

2. How to calculate the greatest common divisor of 120, 543, 752, 864?

We can find the highest common divisor of 120, 543, 752, 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 120, 543, 752, 864 i.e 1.

3. How can I use the GCD of 120, 543, 752, 864Calculator?

Out the numbers 120, 543, 752, 864 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.