GCD of 284, 472, 310, 996 Calculator

Given Input numbers are 284, 472, 310, 996

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

Divisors of 284 :

The positive integer divisors of 284 that completely divides 284 are.

1, 2, 4, 71, 142, 284

Divisors of 472 :

The positive integer divisors of 472 that completely divides 472 are.

1, 2, 4, 8, 59, 118, 236, 472

Divisors of 310 :

The positive integer divisors of 310 that completely divides 310 are.

1, 2, 5, 10, 31, 62, 155, 310

Divisors of 996 :

The positive integer divisors of 996 that completely divides 996 are.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

GCD of numbers is the greatest common divisor

So, the GCD (284, 472, 310, 996) = 2.

Given numbers are 284, 472, 310, 996

The list of prime factors of all numbers are

Prime factors of 284 are 2 x 2 x 71

Prime factors of 472 are 2 x 2 x 2 x 59

Prime factors of 310 are 2 x 5 x 31

Prime factors of 996 are 2 x 2 x 3 x 83

The highest common occurrence is 2¹

Therefore, GCD of 284, 472, 310, 996 is 2.

Given numbers are 284, 472, 310, 996

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

Apply this formula for all numbers.

Step1:

LCM(284, 472) = 33512

GCD(284, 472) = ( 284 x 472 ) / 33512

= 284 / 472

= 284

Step2:

LCM(4, 310) = 620

GCD(4, 310) = ( 4 x 310 ) / 620

= 4 / 310

= 4

Step3:

LCM(2, 996) = 996

GCD(2, 996) = ( 2 x 996 ) / 996

= 2 / 996

= 2

So, Greatest Common Divisor of 284, 472, 310, 996 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 577, 721, 483, 229
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Given numbers are 284, 472, 310, 996
The greatest common divisor of numbers 284, 472, 310, 996 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 284, 472, 310, 996 is 2.

1. What is the GCD of 284, 472, 310, 996?

GCD of given numbers 284, 472, 310, 996 is 2

2. How to calculate the greatest common divisor of 284, 472, 310, 996?

We can find the highest common divisor of 284, 472, 310, 996 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 284, 472, 310, 996 i.e 2.

3. How can I use the GCD of 284, 472, 310, 996Calculator?

Out the numbers 284, 472, 310, 996 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.