GCD of 382, 338, 632, 384 Calculator

Given Input numbers are 382, 338, 632, 384

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

Divisors of 382 :

The positive integer divisors of 382 that completely divides 382 are.

1, 2, 191, 382

Divisors of 338 :

The positive integer divisors of 338 that completely divides 338 are.

1, 2, 13, 26, 169, 338

Divisors of 632 :

The positive integer divisors of 632 that completely divides 632 are.

1, 2, 4, 8, 79, 158, 316, 632

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

GCD of numbers is the greatest common divisor

So, the GCD (382, 338, 632, 384) = 2.

Given numbers are 382, 338, 632, 384

The list of prime factors of all numbers are

Prime factors of 382 are 2 x 191

Prime factors of 338 are 2 x 13 x 13

Prime factors of 632 are 2 x 2 x 2 x 79

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

The highest common occurrence is 2¹

Therefore, GCD of 382, 338, 632, 384 is 2.

Given numbers are 382, 338, 632, 384

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

Apply this formula for all numbers.

Step1:

LCM(382, 338) = 64558

GCD(382, 338) = ( 382 x 338 ) / 64558

= 382 / 338

= 382

Step2:

LCM(2, 632) = 632

GCD(2, 632) = ( 2 x 632 ) / 632

= 2 / 632

= 2

Step3:

LCM(2, 384) = 384

GCD(2, 384) = ( 2 x 384 ) / 384

= 2 / 384

= 2

So, Greatest Common Divisor of 382, 338, 632, 384 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 510, 583, 209, 223
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• GCD of 521, 731, 984, 407
• GCD of 528, 225, 688, 336
• GCD of 701, 894, 713, 778

Given numbers are 382, 338, 632, 384
The greatest common divisor of numbers 382, 338, 632, 384 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 382, 338, 632, 384 is 2.

1. What is the GCD of 382, 338, 632, 384?

GCD of given numbers 382, 338, 632, 384 is 2

2. How to calculate the greatest common divisor of 382, 338, 632, 384?

We can find the highest common divisor of 382, 338, 632, 384 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 382, 338, 632, 384 i.e 2.

3. How can I use the GCD of 382, 338, 632, 384Calculator?

Out the numbers 382, 338, 632, 384 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.