GCD of 840, 184, 12, 956 Calculator

Given Input numbers are 840, 184, 12, 956

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

Divisors of 840 :

The positive integer divisors of 840 that completely divides 840 are.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

Divisors of 184 :

The positive integer divisors of 184 that completely divides 184 are.

1, 2, 4, 8, 23, 46, 92, 184

Divisors of 12 :

The positive integer divisors of 12 that completely divides 12 are.

1, 2, 3, 4, 6, 12

Divisors of 956 :

The positive integer divisors of 956 that completely divides 956 are.

1, 2, 4, 239, 478, 956

GCD of numbers is the greatest common divisor

So, the GCD (840, 184, 12, 956) = 4.

Given numbers are 840, 184, 12, 956

The list of prime factors of all numbers are

Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7

Prime factors of 184 are 2 x 2 x 2 x 23

Prime factors of 12 are 2 x 2 x 3

Prime factors of 956 are 2 x 2 x 239

The highest common occurrence is 2²

Therefore, GCD of 840, 184, 12, 956 is 4.

Given numbers are 840, 184, 12, 956

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

Apply this formula for all numbers.

Step1:

LCM(840, 184) = 19320

GCD(840, 184) = ( 840 x 184 ) / 19320

= 840 / 184

= 840

Step2:

LCM(8, 12) = 24

GCD(8, 12) = ( 8 x 12 ) / 24

= 8 / 12

= 8

Step3:

LCM(4, 956) = 956

GCD(4, 956) = ( 4 x 956 ) / 956

= 4 / 956

= 4

So, Greatest Common Divisor of 840, 184, 12, 956 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 454, 716, 11, 659
• GCD of 783, 780, 48, 429
• GCD of 306, 657, 19, 843
• GCD of 139, 314, 44, 570
• GCD of 284, 756, 51, 636

Given numbers are 840, 184, 12, 956
The greatest common divisor of numbers 840, 184, 12, 956 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 840, 184, 12, 956 is 4.

1. What is the GCD of 840, 184, 12, 956?

GCD of given numbers 840, 184, 12, 956 is 4

2. How to calculate the greatest common divisor of 840, 184, 12, 956?

We can find the highest common divisor of 840, 184, 12, 956 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 840, 184, 12, 956 i.e 4.

3. How can I use the GCD of 840, 184, 12, 956Calculator?

Out the numbers 840, 184, 12, 956 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.