GCD of 456, 336, 123, 912 Calculator

Given Input numbers are 456, 336, 123, 912

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

Divisors of 456 :

The positive integer divisors of 456 that completely divides 456 are.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 336 :

The positive integer divisors of 336 that completely divides 336 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

Divisors of 123 :

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

1, 3, 41, 123

Divisors of 912 :

The positive integer divisors of 912 that completely divides 912 are.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

GCD of numbers is the greatest common divisor

So, the GCD (456, 336, 123, 912) = 3.

Given numbers are 456, 336, 123, 912

The list of prime factors of all numbers are

Prime factors of 456 are 2 x 2 x 2 x 3 x 19

Prime factors of 336 are 2 x 2 x 2 x 2 x 3 x 7

Prime factors of 123 are 3 x 41

Prime factors of 912 are 2 x 2 x 2 x 2 x 3 x 19

The highest common occurrence is 3¹

Therefore, GCD of 456, 336, 123, 912 is 3.

Given numbers are 456, 336, 123, 912

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

Apply this formula for all numbers.

Step1:

LCM(456, 336) = 6384

GCD(456, 336) = ( 456 x 336 ) / 6384

= 456 / 336

= 456

Step2:

LCM(24, 123) = 984

GCD(24, 123) = ( 24 x 123 ) / 984

= 24 / 123

= 24

Step3:

LCM(3, 912) = 912

GCD(3, 912) = ( 3 x 912 ) / 912

= 3 / 912

= 3

So, Greatest Common Divisor of 456, 336, 123, 912 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 434, 448, 735, 874
• GCD of 648, 345, 935, 604
• GCD of 500, 539, 686, 844
• GCD of 715, 859, 572, 887
• GCD of 473, 473, 928, 369

Given numbers are 456, 336, 123, 912
The greatest common divisor of numbers 456, 336, 123, 912 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 456, 336, 123, 912 is 3.

1. What is the GCD of 456, 336, 123, 912?

GCD of given numbers 456, 336, 123, 912 is 3

2. How to calculate the greatest common divisor of 456, 336, 123, 912?

We can find the highest common divisor of 456, 336, 123, 912 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 456, 336, 123, 912 i.e 3.

3. How can I use the GCD of 456, 336, 123, 912Calculator?

Out the numbers 456, 336, 123, 912 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.