GCD of 387, 864, 573, 138 Calculator

Given Input numbers are 387, 864, 573, 138

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

Divisors of 387 :

The positive integer divisors of 387 that completely divides 387 are.

1, 3, 9, 43, 129, 387

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 573 :

The positive integer divisors of 573 that completely divides 573 are.

1, 3, 191, 573

Divisors of 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

GCD of numbers is the greatest common divisor

So, the GCD (387, 864, 573, 138) = 3.

Given numbers are 387, 864, 573, 138

The list of prime factors of all numbers are

Prime factors of 387 are 3 x 3 x 43

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

Prime factors of 573 are 3 x 191

Prime factors of 138 are 2 x 3 x 23

The highest common occurrence is 3¹

Therefore, GCD of 387, 864, 573, 138 is 3.

Given numbers are 387, 864, 573, 138

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

Apply this formula for all numbers.

Step1:

LCM(387, 864) = 37152

GCD(387, 864) = ( 387 x 864 ) / 37152

= 387 / 864

= 387

Step2:

LCM(9, 573) = 1719

GCD(9, 573) = ( 9 x 573 ) / 1719

= 9 / 573

= 9

Step3:

LCM(3, 138) = 138

GCD(3, 138) = ( 3 x 138 ) / 138

= 3 / 138

= 3

So, Greatest Common Divisor of 387, 864, 573, 138 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 897, 863, 619, 461
• GCD of 321, 500, 987, 973
• GCD of 167, 626, 560, 862
• GCD of 944, 616, 537, 676
• GCD of 121, 781, 302, 936

Given numbers are 387, 864, 573, 138
The greatest common divisor of numbers 387, 864, 573, 138 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 387, 864, 573, 138 is 3.

1. What is the GCD of 387, 864, 573, 138?

GCD of given numbers 387, 864, 573, 138 is 3

2. How to calculate the greatest common divisor of 387, 864, 573, 138?

We can find the highest common divisor of 387, 864, 573, 138 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 387, 864, 573, 138 i.e 3.

3. How can I use the GCD of 387, 864, 573, 138Calculator?

Out the numbers 387, 864, 573, 138 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.