GCD of 382, 288, 132, 350 Calculator

Given Input numbers are 382, 288, 132, 350

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 288 :

The positive integer divisors of 288 that completely divides 288 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

Divisors of 132 :

The positive integer divisors of 132 that completely divides 132 are.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Divisors of 350 :

The positive integer divisors of 350 that completely divides 350 are.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

GCD of numbers is the greatest common divisor

So, the GCD (382, 288, 132, 350) = 2.

Given numbers are 382, 288, 132, 350

The list of prime factors of all numbers are

Prime factors of 382 are 2 x 191

Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 132 are 2 x 2 x 3 x 11

Prime factors of 350 are 2 x 5 x 5 x 7

The highest common occurrence is 2¹

Therefore, GCD of 382, 288, 132, 350 is 2.

Given numbers are 382, 288, 132, 350

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

Apply this formula for all numbers.

Step1:

LCM(382, 288) = 55008

GCD(382, 288) = ( 382 x 288 ) / 55008

= 382 / 288

= 382

Step2:

LCM(2, 132) = 132

GCD(2, 132) = ( 2 x 132 ) / 132

= 2 / 132

= 2

Step3:

LCM(2, 350) = 350

GCD(2, 350) = ( 2 x 350 ) / 350

= 2 / 350

= 2

So, Greatest Common Divisor of 382, 288, 132, 350 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 491, 237, 288, 721
• GCD of 621, 355, 921, 746
• GCD of 610, 567, 351, 544
• GCD of 650, 322, 606, 106
• GCD of 567, 156, 438, 516

Given numbers are 382, 288, 132, 350
The greatest common divisor of numbers 382, 288, 132, 350 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 382, 288, 132, 350 is 2.

1. What is the GCD of 382, 288, 132, 350?

GCD of given numbers 382, 288, 132, 350 is 2

2. How to calculate the greatest common divisor of 382, 288, 132, 350?

We can find the highest common divisor of 382, 288, 132, 350 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, 288, 132, 350 i.e 2.

3. How can I use the GCD of 382, 288, 132, 350Calculator?

Out the numbers 382, 288, 132, 350 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.