GCD of 123, 648, 369, 255 Calculator

Given Input numbers are 123, 648, 369, 255

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 648 :

The positive integer divisors of 648 that completely divides 648 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Divisors of 369 :

The positive integer divisors of 369 that completely divides 369 are.

1, 3, 9, 41, 123, 369

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 (123, 648, 369, 255) = 3.

Given numbers are 123, 648, 369, 255

The list of prime factors of all numbers are

Prime factors of 123 are 3 x 41

Prime factors of 648 are 2 x 2 x 2 x 3 x 3 x 3 x 3

Prime factors of 369 are 3 x 3 x 41

Prime factors of 255 are 3 x 5 x 17

The highest common occurrence is 3¹

Therefore, GCD of 123, 648, 369, 255 is 3.

Given numbers are 123, 648, 369, 255

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

Apply this formula for all numbers.

Step1:

LCM(123, 648) = 26568

GCD(123, 648) = ( 123 x 648 ) / 26568

= 123 / 648

= 123

Step2:

LCM(3, 369) = 369

GCD(3, 369) = ( 3 x 369 ) / 369

= 3 / 369

= 3

Step3:

LCM(3, 255) = 255

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

= 3 / 255

= 3

So, Greatest Common Divisor of 123, 648, 369, 255 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 867, 677, 329, 913
• GCD of 368, 184, 957, 272
• GCD of 325, 794, 918, 610
• GCD of 196, 632, 159, 982
• GCD of 916, 249, 537, 805

Given numbers are 123, 648, 369, 255
The greatest common divisor of numbers 123, 648, 369, 255 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 123, 648, 369, 255 is 3.

1. What is the GCD of 123, 648, 369, 255?

GCD of given numbers 123, 648, 369, 255 is 3

2. How to calculate the greatest common divisor of 123, 648, 369, 255?

We can find the highest common divisor of 123, 648, 369, 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 123, 648, 369, 255 i.e 3.

3. How can I use the GCD of 123, 648, 369, 255Calculator?

Out the numbers 123, 648, 369, 255 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.