GCD of 123, 930, 864, 240 Calculator

Given Input numbers are 123, 930, 864, 240

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

Divisors of 123 :

The positive integer divisors of 123 that completely divides 123 are.

1, 3, 41, 123

Divisors of 930 :

The positive integer divisors of 930 that completely divides 930 are.

1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

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 240 :

The positive integer divisors of 240 that completely divides 240 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

GCD of numbers is the greatest common divisor

So, the GCD (123, 930, 864, 240) = 3.

Given numbers are 123, 930, 864, 240

The list of prime factors of all numbers are

Prime factors of 123 are 3 x 41

Prime factors of 930 are 2 x 3 x 5 x 31

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

Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5

The highest common occurrence is 3¹

Therefore, GCD of 123, 930, 864, 240 is 3.

Given numbers are 123, 930, 864, 240

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

Apply this formula for all numbers.

Step1:

LCM(123, 930) = 38130

GCD(123, 930) = ( 123 x 930 ) / 38130

= 123 / 930

= 123

Step2:

LCM(3, 864) = 864

GCD(3, 864) = ( 3 x 864 ) / 864

= 3 / 864

= 3

Step3:

LCM(3, 240) = 240

GCD(3, 240) = ( 3 x 240 ) / 240

= 3 / 240

= 3

So, Greatest Common Divisor of 123, 930, 864, 240 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 511, 566, 975, 345
• GCD of 310, 903, 404, 137
• GCD of 315, 554, 836, 405
• GCD of 318, 757, 502, 679
• GCD of 348, 659, 742, 895

Given numbers are 123, 930, 864, 240
The greatest common divisor of numbers 123, 930, 864, 240 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 123, 930, 864, 240 is 3.

1. What is the GCD of 123, 930, 864, 240?

GCD of given numbers 123, 930, 864, 240 is 3

2. How to calculate the greatest common divisor of 123, 930, 864, 240?

We can find the highest common divisor of 123, 930, 864, 240 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 123, 930, 864, 240 i.e 3.

3. How can I use the GCD of 123, 930, 864, 240Calculator?

Out the numbers 123, 930, 864, 240 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.