GCD of 486, 294, 123, 342 Calculator

Given Input numbers are 486, 294, 123, 342

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 294 :

The positive integer divisors of 294 that completely divides 294 are.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

Divisors of 123 :

The positive integer divisors of 123 that completely divides 123 are.

1, 3, 41, 123

Divisors of 342 :

The positive integer divisors of 342 that completely divides 342 are.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

GCD of numbers is the greatest common divisor

So, the GCD (486, 294, 123, 342) = 3.

Given numbers are 486, 294, 123, 342

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 294 are 2 x 3 x 7 x 7

Prime factors of 123 are 3 x 41

Prime factors of 342 are 2 x 3 x 3 x 19

The highest common occurrence is 3¹

Therefore, GCD of 486, 294, 123, 342 is 3.

Given numbers are 486, 294, 123, 342

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

Apply this formula for all numbers.

Step1:

LCM(486, 294) = 23814

GCD(486, 294) = ( 486 x 294 ) / 23814

= 486 / 294

= 486

Step2:

LCM(6, 123) = 246

GCD(6, 123) = ( 6 x 123 ) / 246

= 6 / 123

= 6

Step3:

LCM(3, 342) = 342

GCD(3, 342) = ( 3 x 342 ) / 342

= 3 / 342

= 3

So, Greatest Common Divisor of 486, 294, 123, 342 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 331, 197, 258, 373
• GCD of 555, 348, 607, 575
• GCD of 363, 412, 212, 459
• GCD of 100, 319, 544, 126
• GCD of 785, 572, 762, 772

Given numbers are 486, 294, 123, 342
The greatest common divisor of numbers 486, 294, 123, 342 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 486, 294, 123, 342 is 3.

1. What is the GCD of 486, 294, 123, 342?

GCD of given numbers 486, 294, 123, 342 is 3

2. How to calculate the greatest common divisor of 486, 294, 123, 342?

We can find the highest common divisor of 486, 294, 123, 342 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, 294, 123, 342 i.e 3.

3. How can I use the GCD of 486, 294, 123, 342Calculator?

Out the numbers 486, 294, 123, 342 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.