GCD of 120, 486, 660, 338 Calculator

Given Input numbers are 120, 486, 660, 338

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

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

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 660 :

The positive integer divisors of 660 that completely divides 660 are.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Divisors of 338 :

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

1, 2, 13, 26, 169, 338

GCD of numbers is the greatest common divisor

So, the GCD (120, 486, 660, 338) = 2.

Given numbers are 120, 486, 660, 338

The list of prime factors of all numbers are

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

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

Prime factors of 660 are 2 x 2 x 3 x 5 x 11

Prime factors of 338 are 2 x 13 x 13

The highest common occurrence is 2¹

Therefore, GCD of 120, 486, 660, 338 is 2.

Given numbers are 120, 486, 660, 338

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

Apply this formula for all numbers.

Step1:

LCM(120, 486) = 9720

GCD(120, 486) = ( 120 x 486 ) / 9720

= 120 / 486

= 120

Step2:

LCM(6, 660) = 660

GCD(6, 660) = ( 6 x 660 ) / 660

= 6 / 660

= 6

Step3:

LCM(6, 338) = 1014

GCD(6, 338) = ( 6 x 338 ) / 1014

= 6 / 338

= 6

So, Greatest Common Divisor of 120, 486, 660, 338 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 555, 587, 289, 552
• GCD of 515, 285, 605, 933
• GCD of 570, 908, 176, 286
• GCD of 711, 236, 280, 380
• GCD of 664, 790, 378, 761

Given numbers are 120, 486, 660, 338
The greatest common divisor of numbers 120, 486, 660, 338 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 486, 660, 338 is 2.

1. What is the GCD of 120, 486, 660, 338?

GCD of given numbers 120, 486, 660, 338 is 2

2. How to calculate the greatest common divisor of 120, 486, 660, 338?

We can find the highest common divisor of 120, 486, 660, 338 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 120, 486, 660, 338 i.e 2.

3. How can I use the GCD of 120, 486, 660, 338Calculator?

Out the numbers 120, 486, 660, 338 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.