GCD of 284, 964, 112, 424 Calculator

Given Input numbers are 284, 964, 112, 424

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 964 :

The positive integer divisors of 964 that completely divides 964 are.

1, 2, 4, 241, 482, 964

Divisors of 112 :

The positive integer divisors of 112 that completely divides 112 are.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Divisors of 424 :

The positive integer divisors of 424 that completely divides 424 are.

1, 2, 4, 8, 53, 106, 212, 424

GCD of numbers is the greatest common divisor

So, the GCD (284, 964, 112, 424) = 4.

Given numbers are 284, 964, 112, 424

The list of prime factors of all numbers are

Prime factors of 284 are 2 x 2 x 71

Prime factors of 964 are 2 x 2 x 241

Prime factors of 112 are 2 x 2 x 2 x 2 x 7

Prime factors of 424 are 2 x 2 x 2 x 53

The highest common occurrence is 2²

Therefore, GCD of 284, 964, 112, 424 is 4.

Given numbers are 284, 964, 112, 424

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

Apply this formula for all numbers.

Step1:

LCM(284, 964) = 68444

GCD(284, 964) = ( 284 x 964 ) / 68444

= 284 / 964

= 284

Step2:

LCM(4, 112) = 112

GCD(4, 112) = ( 4 x 112 ) / 112

= 4 / 112

= 4

Step3:

LCM(4, 424) = 424

GCD(4, 424) = ( 4 x 424 ) / 424

= 4 / 424

= 4

So, Greatest Common Divisor of 284, 964, 112, 424 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 829, 990, 617, 905
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• GCD of 488, 788, 339, 391

Given numbers are 284, 964, 112, 424
The greatest common divisor of numbers 284, 964, 112, 424 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 284, 964, 112, 424 is 4.

1. What is the GCD of 284, 964, 112, 424?

GCD of given numbers 284, 964, 112, 424 is 4

2. How to calculate the greatest common divisor of 284, 964, 112, 424?

We can find the highest common divisor of 284, 964, 112, 424 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, 964, 112, 424 i.e 4.

3. How can I use the GCD of 284, 964, 112, 424Calculator?

Out the numbers 284, 964, 112, 424 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.