GCD of 336, 190, 450, 382 Calculator

Given Input numbers are 336, 190, 450, 382

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

Divisors of 336 :

The positive integer divisors of 336 that completely divides 336 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

Divisors of 190 :

The positive integer divisors of 190 that completely divides 190 are.

1, 2, 5, 10, 19, 38, 95, 190

Divisors of 450 :

The positive integer divisors of 450 that completely divides 450 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

Divisors of 382 :

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

1, 2, 191, 382

GCD of numbers is the greatest common divisor

So, the GCD (336, 190, 450, 382) = 2.

Given numbers are 336, 190, 450, 382

The list of prime factors of all numbers are

Prime factors of 336 are 2 x 2 x 2 x 2 x 3 x 7

Prime factors of 190 are 2 x 5 x 19

Prime factors of 450 are 2 x 3 x 3 x 5 x 5

Prime factors of 382 are 2 x 191

The highest common occurrence is 2¹

Therefore, GCD of 336, 190, 450, 382 is 2.

Given numbers are 336, 190, 450, 382

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

Apply this formula for all numbers.

Step1:

LCM(336, 190) = 31920

GCD(336, 190) = ( 336 x 190 ) / 31920

= 336 / 190

= 336

Step2:

LCM(2, 450) = 450

GCD(2, 450) = ( 2 x 450 ) / 450

= 2 / 450

= 2

Step3:

LCM(2, 382) = 382

GCD(2, 382) = ( 2 x 382 ) / 382

= 2 / 382

= 2

So, Greatest Common Divisor of 336, 190, 450, 382 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 488, 643, 490, 872
• GCD of 502, 868, 375, 562
• GCD of 965, 495, 124, 884
• GCD of 989, 614, 930, 501
• GCD of 694, 831, 339, 797

Given numbers are 336, 190, 450, 382
The greatest common divisor of numbers 336, 190, 450, 382 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 336, 190, 450, 382 is 2.

1. What is the GCD of 336, 190, 450, 382?

GCD of given numbers 336, 190, 450, 382 is 2

2. How to calculate the greatest common divisor of 336, 190, 450, 382?

We can find the highest common divisor of 336, 190, 450, 382 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 336, 190, 450, 382 i.e 2.

3. How can I use the GCD of 336, 190, 450, 382Calculator?

Out the numbers 336, 190, 450, 382 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.