GCD of 394, 384, 542, 916 Calculator

Given Input numbers are 394, 384, 542, 916

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

Divisors of 394 :

The positive integer divisors of 394 that completely divides 394 are.

1, 2, 197, 394

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 542 :

The positive integer divisors of 542 that completely divides 542 are.

1, 2, 271, 542

Divisors of 916 :

The positive integer divisors of 916 that completely divides 916 are.

1, 2, 4, 229, 458, 916

GCD of numbers is the greatest common divisor

So, the GCD (394, 384, 542, 916) = 2.

Given numbers are 394, 384, 542, 916

The list of prime factors of all numbers are

Prime factors of 394 are 2 x 197

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

Prime factors of 542 are 2 x 271

Prime factors of 916 are 2 x 2 x 229

The highest common occurrence is 2¹

Therefore, GCD of 394, 384, 542, 916 is 2.

Given numbers are 394, 384, 542, 916

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

Apply this formula for all numbers.

Step1:

LCM(394, 384) = 75648

GCD(394, 384) = ( 394 x 384 ) / 75648

= 394 / 384

= 394

Step2:

LCM(2, 542) = 542

GCD(2, 542) = ( 2 x 542 ) / 542

= 2 / 542

= 2

Step3:

LCM(2, 916) = 916

GCD(2, 916) = ( 2 x 916 ) / 916

= 2 / 916

= 2

So, Greatest Common Divisor of 394, 384, 542, 916 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 959, 278, 578, 765
• GCD of 340, 707, 791, 871
• GCD of 651, 678, 410, 811
• GCD of 468, 501, 521, 487
• GCD of 330, 806, 579, 344

Given numbers are 394, 384, 542, 916
The greatest common divisor of numbers 394, 384, 542, 916 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 394, 384, 542, 916 is 2.

1. What is the GCD of 394, 384, 542, 916?

GCD of given numbers 394, 384, 542, 916 is 2

2. How to calculate the greatest common divisor of 394, 384, 542, 916?

We can find the highest common divisor of 394, 384, 542, 916 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 394, 384, 542, 916 i.e 2.

3. How can I use the GCD of 394, 384, 542, 916Calculator?

Out the numbers 394, 384, 542, 916 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.