GCD of 663, 450, 123 Calculator

Given Input numbers are 663, 450, 123

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

Divisors of 663 :

The positive integer divisors of 663 that completely divides 663 are.

1, 3, 13, 17, 39, 51, 221, 663

Divisors of 450 :

The positive integer divisors of 450 that completely divides 450 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

Divisors of 123 :

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

1, 3, 41, 123

GCD of numbers is the greatest common divisor

So, the GCD (663, 450, 123) = 3.

Given numbers are 663, 450, 123

The list of prime factors of all numbers are

Prime factors of 663 are 3 x 13 x 17

Prime factors of 450 are 2 x 3 x 3 x 5 x 5

Prime factors of 123 are 3 x 41

The highest common occurrence is 3¹

Therefore, GCD of 663, 450, 123 is 3.

Given numbers are 663, 450, 123

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

Apply this formula for all numbers.

Step1:

LCM(663, 450) = 99450

GCD(663, 450) = ( 663 x 450 ) / 99450

= 663 / 450

= 663

Step2:

LCM(3, 123) = 123

GCD(3, 123) = ( 3 x 123 ) / 123

= 3 / 123

= 3

So, Greatest Common Divisor of 663, 450, 123 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 439, 488, 649
• GCD of 549, 289, 692
• GCD of 932, 269, 414
• GCD of 570, 621, 691
• GCD of 279, 524, 484

Given numbers are 663, 450, 123
The greatest common divisor of numbers 663, 450, 123 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 663, 450, 123 is 3.

1. What is the GCD of 663, 450, 123?

GCD of given numbers 663, 450, 123 is 3

2. How to calculate the greatest common divisor of 663, 450, 123?

We can find the highest common divisor of 663, 450, 123 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 663, 450, 123 i.e 3.

3. How can I use the GCD of 663, 450, 123Calculator?

Out the numbers 663, 450, 123 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.