GCD of 338, 492, 486, 360 Calculator

Given Input numbers are 338, 492, 486, 360

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

Divisors of 338 :

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

1, 2, 13, 26, 169, 338

Divisors of 492 :

The positive integer divisors of 492 that completely divides 492 are.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Divisors of 486 :

The positive integer divisors of 486 that completely divides 486 are.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

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

GCD of numbers is the greatest common divisor

So, the GCD (338, 492, 486, 360) = 2.

Given numbers are 338, 492, 486, 360

The list of prime factors of all numbers are

Prime factors of 338 are 2 x 13 x 13

Prime factors of 492 are 2 x 2 x 3 x 41

Prime factors of 486 are 2 x 3 x 3 x 3 x 3 x 3

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

The highest common occurrence is 2¹

Therefore, GCD of 338, 492, 486, 360 is 2.

Given numbers are 338, 492, 486, 360

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

Apply this formula for all numbers.

Step1:

LCM(338, 492) = 83148

GCD(338, 492) = ( 338 x 492 ) / 83148

= 338 / 492

= 338

Step2:

LCM(2, 486) = 486

GCD(2, 486) = ( 2 x 486 ) / 486

= 2 / 486

= 2

Step3:

LCM(2, 360) = 360

GCD(2, 360) = ( 2 x 360 ) / 360

= 2 / 360

= 2

So, Greatest Common Divisor of 338, 492, 486, 360 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 672, 850, 752, 361
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• GCD of 819, 274, 683, 743
• GCD of 559, 552, 971, 131

Given numbers are 338, 492, 486, 360
The greatest common divisor of numbers 338, 492, 486, 360 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 338, 492, 486, 360 is 2.

1. What is the GCD of 338, 492, 486, 360?

GCD of given numbers 338, 492, 486, 360 is 2

2. How to calculate the greatest common divisor of 338, 492, 486, 360?

We can find the highest common divisor of 338, 492, 486, 360 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 338, 492, 486, 360 i.e 2.

3. How can I use the GCD of 338, 492, 486, 360Calculator?

Out the numbers 338, 492, 486, 360 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.