GCD of 852, 723, 930, 255 Calculator

Given Input numbers are 852, 723, 930, 255

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

Divisors of 852 :

The positive integer divisors of 852 that completely divides 852 are.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Divisors of 723 :

The positive integer divisors of 723 that completely divides 723 are.

1, 3, 241, 723

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 255 :

The positive integer divisors of 255 that completely divides 255 are.

1, 3, 5, 15, 17, 51, 85, 255

GCD of numbers is the greatest common divisor

So, the GCD (852, 723, 930, 255) = 3.

Given numbers are 852, 723, 930, 255

The list of prime factors of all numbers are

Prime factors of 852 are 2 x 2 x 3 x 71

Prime factors of 723 are 3 x 241

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

Prime factors of 255 are 3 x 5 x 17

The highest common occurrence is 3¹

Therefore, GCD of 852, 723, 930, 255 is 3.

Given numbers are 852, 723, 930, 255

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

Apply this formula for all numbers.

Step1:

LCM(852, 723) = 205332

GCD(852, 723) = ( 852 x 723 ) / 205332

= 852 / 723

= 852

Step2:

LCM(3, 930) = 930

GCD(3, 930) = ( 3 x 930 ) / 930

= 3 / 930

= 3

Step3:

LCM(3, 255) = 255

GCD(3, 255) = ( 3 x 255 ) / 255

= 3 / 255

= 3

So, Greatest Common Divisor of 852, 723, 930, 255 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 795, 266, 480, 621
• GCD of 566, 852, 656, 705
• GCD of 591, 305, 848, 791
• GCD of 576, 195, 644, 731
• GCD of 142, 677, 228, 690

Given numbers are 852, 723, 930, 255
The greatest common divisor of numbers 852, 723, 930, 255 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 852, 723, 930, 255 is 3.

1. What is the GCD of 852, 723, 930, 255?

GCD of given numbers 852, 723, 930, 255 is 3

2. How to calculate the greatest common divisor of 852, 723, 930, 255?

We can find the highest common divisor of 852, 723, 930, 255 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 852, 723, 930, 255 i.e 3.

3. How can I use the GCD of 852, 723, 930, 255Calculator?

Out the numbers 852, 723, 930, 255 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.