GCD of 456, 447, 189, 924 Calculator

Given Input numbers are 456, 447, 189, 924

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 447 :

The positive integer divisors of 447 that completely divides 447 are.

1, 3, 149, 447

Divisors of 189 :

The positive integer divisors of 189 that completely divides 189 are.

1, 3, 7, 9, 21, 27, 63, 189

Divisors of 924 :

The positive integer divisors of 924 that completely divides 924 are.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

GCD of numbers is the greatest common divisor

So, the GCD (456, 447, 189, 924) = 3.

Given numbers are 456, 447, 189, 924

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 447 are 3 x 149

Prime factors of 189 are 3 x 3 x 3 x 7

Prime factors of 924 are 2 x 2 x 3 x 7 x 11

The highest common occurrence is 3¹

Therefore, GCD of 456, 447, 189, 924 is 3.

Given numbers are 456, 447, 189, 924

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

Apply this formula for all numbers.

Step1:

LCM(456, 447) = 67944

GCD(456, 447) = ( 456 x 447 ) / 67944

= 456 / 447

= 456

Step2:

LCM(3, 189) = 189

GCD(3, 189) = ( 3 x 189 ) / 189

= 3 / 189

= 3

Step3:

LCM(3, 924) = 924

GCD(3, 924) = ( 3 x 924 ) / 924

= 3 / 924

= 3

So, Greatest Common Divisor of 456, 447, 189, 924 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 512, 376, 914, 964
• GCD of 802, 146, 934, 535
• GCD of 269, 350, 729, 328
• GCD of 919, 647, 675, 102
• GCD of 373, 216, 122, 130

Given numbers are 456, 447, 189, 924
The greatest common divisor of numbers 456, 447, 189, 924 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 456, 447, 189, 924 is 3.

1. What is the GCD of 456, 447, 189, 924?

GCD of given numbers 456, 447, 189, 924 is 3

2. How to calculate the greatest common divisor of 456, 447, 189, 924?

We can find the highest common divisor of 456, 447, 189, 924 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, 447, 189, 924 i.e 3.

3. How can I use the GCD of 456, 447, 189, 924Calculator?

Out the numbers 456, 447, 189, 924 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.