GCD of 486, 264, 390, 554 Calculator

Given Input numbers are 486, 264, 390, 554

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

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 264 :

The positive integer divisors of 264 that completely divides 264 are.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Divisors of 390 :

The positive integer divisors of 390 that completely divides 390 are.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Divisors of 554 :

The positive integer divisors of 554 that completely divides 554 are.

1, 2, 277, 554

GCD of numbers is the greatest common divisor

So, the GCD (486, 264, 390, 554) = 2.

Given numbers are 486, 264, 390, 554

The list of prime factors of all numbers are

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

Prime factors of 264 are 2 x 2 x 2 x 3 x 11

Prime factors of 390 are 2 x 3 x 5 x 13

Prime factors of 554 are 2 x 277

The highest common occurrence is 2¹

Therefore, GCD of 486, 264, 390, 554 is 2.

Given numbers are 486, 264, 390, 554

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

Apply this formula for all numbers.

Step1:

LCM(486, 264) = 21384

GCD(486, 264) = ( 486 x 264 ) / 21384

= 486 / 264

= 486

Step2:

LCM(6, 390) = 390

GCD(6, 390) = ( 6 x 390 ) / 390

= 6 / 390

= 6

Step3:

LCM(6, 554) = 1662

GCD(6, 554) = ( 6 x 554 ) / 1662

= 6 / 554

= 6

So, Greatest Common Divisor of 486, 264, 390, 554 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 544, 571, 416, 219
• GCD of 987, 706, 820, 503
• GCD of 607, 968, 490, 869
• GCD of 550, 795, 427, 228
• GCD of 843, 730, 788, 352

Given numbers are 486, 264, 390, 554
The greatest common divisor of numbers 486, 264, 390, 554 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 486, 264, 390, 554 is 2.

1. What is the GCD of 486, 264, 390, 554?

GCD of given numbers 486, 264, 390, 554 is 2

2. How to calculate the greatest common divisor of 486, 264, 390, 554?

We can find the highest common divisor of 486, 264, 390, 554 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 486, 264, 390, 554 i.e 2.

3. How can I use the GCD of 486, 264, 390, 554Calculator?

Out the numbers 486, 264, 390, 554 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.