GCD of 984, 656, 812, 312 Calculator

Given Input numbers are 984, 656, 812, 312

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

Divisors of 984 :

The positive integer divisors of 984 that completely divides 984 are.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Divisors of 656 :

The positive integer divisors of 656 that completely divides 656 are.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

Divisors of 812 :

The positive integer divisors of 812 that completely divides 812 are.

1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

Divisors of 312 :

The positive integer divisors of 312 that completely divides 312 are.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

GCD of numbers is the greatest common divisor

So, the GCD (984, 656, 812, 312) = 4.

Given numbers are 984, 656, 812, 312

The list of prime factors of all numbers are

Prime factors of 984 are 2 x 2 x 2 x 3 x 41

Prime factors of 656 are 2 x 2 x 2 x 2 x 41

Prime factors of 812 are 2 x 2 x 7 x 29

Prime factors of 312 are 2 x 2 x 2 x 3 x 13

The highest common occurrence is 2²

Therefore, GCD of 984, 656, 812, 312 is 4.

Given numbers are 984, 656, 812, 312

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

Apply this formula for all numbers.

Step1:

LCM(984, 656) = 1968

GCD(984, 656) = ( 984 x 656 ) / 1968

= 984 / 656

= 984

Step2:

LCM(328, 812) = 66584

GCD(328, 812) = ( 328 x 812 ) / 66584

= 328 / 812

= 328

Step3:

LCM(4, 312) = 312

GCD(4, 312) = ( 4 x 312 ) / 312

= 4 / 312

= 4

So, Greatest Common Divisor of 984, 656, 812, 312 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 937, 954, 507, 611
• GCD of 337, 100, 444, 842
• GCD of 951, 406, 800, 641
• GCD of 284, 124, 937, 913
• GCD of 579, 387, 295, 724

Given numbers are 984, 656, 812, 312
The greatest common divisor of numbers 984, 656, 812, 312 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 984, 656, 812, 312 is 4.

1. What is the GCD of 984, 656, 812, 312?

GCD of given numbers 984, 656, 812, 312 is 4

2. How to calculate the greatest common divisor of 984, 656, 812, 312?

We can find the highest common divisor of 984, 656, 812, 312 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 984, 656, 812, 312 i.e 4.

3. How can I use the GCD of 984, 656, 812, 312Calculator?

Out the numbers 984, 656, 812, 312 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.