GCD of 382, 360, 288, 826 Calculator

Given Input numbers are 382, 360, 288, 826

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 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

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 826 :

The positive integer divisors of 826 that completely divides 826 are.

1, 2, 7, 14, 59, 118, 413, 826

GCD of numbers is the greatest common divisor

So, the GCD (382, 360, 288, 826) = 2.

Given numbers are 382, 360, 288, 826

The list of prime factors of all numbers are

Prime factors of 382 are 2 x 191

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

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

Prime factors of 826 are 2 x 7 x 59

The highest common occurrence is 2¹

Therefore, GCD of 382, 360, 288, 826 is 2.

Given numbers are 382, 360, 288, 826

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

Apply this formula for all numbers.

Step1:

LCM(382, 360) = 68760

GCD(382, 360) = ( 382 x 360 ) / 68760

= 382 / 360

= 382

Step2:

LCM(2, 288) = 288

GCD(2, 288) = ( 2 x 288 ) / 288

= 2 / 288

= 2

Step3:

LCM(2, 826) = 826

GCD(2, 826) = ( 2 x 826 ) / 826

= 2 / 826

= 2

So, Greatest Common Divisor of 382, 360, 288, 826 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 164, 148, 936, 603
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• GCD of 204, 969, 114, 882
• GCD of 764, 139, 174, 165
• GCD of 983, 120, 451, 275

Given numbers are 382, 360, 288, 826
The greatest common divisor of numbers 382, 360, 288, 826 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 382, 360, 288, 826 is 2.

1. What is the GCD of 382, 360, 288, 826?

GCD of given numbers 382, 360, 288, 826 is 2

2. How to calculate the greatest common divisor of 382, 360, 288, 826?

We can find the highest common divisor of 382, 360, 288, 826 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, 360, 288, 826 i.e 2.

3. How can I use the GCD of 382, 360, 288, 826Calculator?

Out the numbers 382, 360, 288, 826 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.