GCD of 456, 912, 684, 846 Calculator

Given Input numbers are 456, 912, 684, 846

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 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

Divisors of 684 :

The positive integer divisors of 684 that completely divides 684 are.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 846 :

The positive integer divisors of 846 that completely divides 846 are.

1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

GCD of numbers is the greatest common divisor

So, the GCD (456, 912, 684, 846) = 6.

Given numbers are 456, 912, 684, 846

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 912 are 2 x 2 x 2 x 2 x 3 x 19

Prime factors of 684 are 2 x 2 x 3 x 3 x 19

Prime factors of 846 are 2 x 3 x 3 x 47

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 456, 912, 684, 846 is 6.

Given numbers are 456, 912, 684, 846

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

Apply this formula for all numbers.

Step1:

LCM(456, 912) = 912

GCD(456, 912) = ( 456 x 912 ) / 912

= 456 / 912

= 456

Step2:

LCM(456, 684) = 1368

GCD(456, 684) = ( 456 x 684 ) / 1368

= 456 / 684

= 456

Step3:

LCM(228, 846) = 32148

GCD(228, 846) = ( 228 x 846 ) / 32148

= 228 / 846

= 228

So, Greatest Common Divisor of 456, 912, 684, 846 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 858, 240, 589, 764
• GCD of 561, 241, 855, 253
• GCD of 871, 397, 869, 925
• GCD of 221, 240, 423, 979
• GCD of 986, 327, 270, 224

Given numbers are 456, 912, 684, 846
The greatest common divisor of numbers 456, 912, 684, 846 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 456, 912, 684, 846 is 6.

1. What is the GCD of 456, 912, 684, 846?

GCD of given numbers 456, 912, 684, 846 is 6

2. How to calculate the greatest common divisor of 456, 912, 684, 846?

We can find the highest common divisor of 456, 912, 684, 846 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, 912, 684, 846 i.e 6.

3. How can I use the GCD of 456, 912, 684, 846Calculator?

Out the numbers 456, 912, 684, 846 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.