GCD of 600, 444, 465, 123 Calculator

Given Input numbers are 600, 444, 465, 123

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

Divisors of 600 :

The positive integer divisors of 600 that completely divides 600 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Divisors of 444 :

The positive integer divisors of 444 that completely divides 444 are.

1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

Divisors of 465 :

The positive integer divisors of 465 that completely divides 465 are.

1, 3, 5, 15, 31, 93, 155, 465

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 (600, 444, 465, 123) = 3.

Given numbers are 600, 444, 465, 123

The list of prime factors of all numbers are

Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5

Prime factors of 444 are 2 x 2 x 3 x 37

Prime factors of 465 are 3 x 5 x 31

Prime factors of 123 are 3 x 41

The highest common occurrence is 3¹

Therefore, GCD of 600, 444, 465, 123 is 3.

Given numbers are 600, 444, 465, 123

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

Apply this formula for all numbers.

Step1:

LCM(600, 444) = 22200

GCD(600, 444) = ( 600 x 444 ) / 22200

= 600 / 444

= 600

Step2:

LCM(12, 465) = 1860

GCD(12, 465) = ( 12 x 465 ) / 1860

= 12 / 465

= 12

Step3:

LCM(3, 123) = 123

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

= 3 / 123

= 3

So, Greatest Common Divisor of 600, 444, 465, 123 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 261, 885, 171, 382
• GCD of 941, 950, 581, 868
• GCD of 648, 935, 363, 587
• GCD of 998, 907, 873, 361
• GCD of 761, 114, 763, 854

Given numbers are 600, 444, 465, 123
The greatest common divisor of numbers 600, 444, 465, 123 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 600, 444, 465, 123 is 3.

1. What is the GCD of 600, 444, 465, 123?

GCD of given numbers 600, 444, 465, 123 is 3

2. How to calculate the greatest common divisor of 600, 444, 465, 123?

We can find the highest common divisor of 600, 444, 465, 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 600, 444, 465, 123 i.e 3.

3. How can I use the GCD of 600, 444, 465, 123Calculator?

Out the numbers 600, 444, 465, 123 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.