GCD of 384, 820, 868, 242 Calculator

Given Input numbers are 384, 820, 868, 242

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

Divisors of 384 :

The positive integer divisors of 384 that completely divides 384 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

Divisors of 820 :

The positive integer divisors of 820 that completely divides 820 are.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Divisors of 868 :

The positive integer divisors of 868 that completely divides 868 are.

1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

Divisors of 242 :

The positive integer divisors of 242 that completely divides 242 are.

1, 2, 11, 22, 121, 242

GCD of numbers is the greatest common divisor

So, the GCD (384, 820, 868, 242) = 2.

Given numbers are 384, 820, 868, 242

The list of prime factors of all numbers are

Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 820 are 2 x 2 x 5 x 41

Prime factors of 868 are 2 x 2 x 7 x 31

Prime factors of 242 are 2 x 11 x 11

The highest common occurrence is 2¹

Therefore, GCD of 384, 820, 868, 242 is 2.

Given numbers are 384, 820, 868, 242

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

Apply this formula for all numbers.

Step1:

LCM(384, 820) = 78720

GCD(384, 820) = ( 384 x 820 ) / 78720

= 384 / 820

= 384

Step2:

LCM(4, 868) = 868

GCD(4, 868) = ( 4 x 868 ) / 868

= 4 / 868

= 4

Step3:

LCM(4, 242) = 484

GCD(4, 242) = ( 4 x 242 ) / 484

= 4 / 242

= 4

So, Greatest Common Divisor of 384, 820, 868, 242 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 582, 541, 991, 388
• GCD of 940, 212, 590, 632
• GCD of 772, 821, 628, 369
• GCD of 772, 607, 489, 311
• GCD of 305, 589, 615, 432

Given numbers are 384, 820, 868, 242
The greatest common divisor of numbers 384, 820, 868, 242 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 384, 820, 868, 242 is 2.

1. What is the GCD of 384, 820, 868, 242?

GCD of given numbers 384, 820, 868, 242 is 2

2. How to calculate the greatest common divisor of 384, 820, 868, 242?

We can find the highest common divisor of 384, 820, 868, 242 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 384, 820, 868, 242 i.e 2.

3. How can I use the GCD of 384, 820, 868, 242Calculator?

Out the numbers 384, 820, 868, 242 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.