GCD of 238, 722, 306, 486 Calculator

Given Input numbers are 238, 722, 306, 486

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

Divisors of 238 :

The positive integer divisors of 238 that completely divides 238 are.

1, 2, 7, 14, 17, 34, 119, 238

Divisors of 722 :

The positive integer divisors of 722 that completely divides 722 are.

1, 2, 19, 38, 361, 722

Divisors of 306 :

The positive integer divisors of 306 that completely divides 306 are.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

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

GCD of numbers is the greatest common divisor

So, the GCD (238, 722, 306, 486) = 2.

Given numbers are 238, 722, 306, 486

The list of prime factors of all numbers are

Prime factors of 238 are 2 x 7 x 17

Prime factors of 722 are 2 x 19 x 19

Prime factors of 306 are 2 x 3 x 3 x 17

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

The highest common occurrence is 2¹

Therefore, GCD of 238, 722, 306, 486 is 2.

Given numbers are 238, 722, 306, 486

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

Apply this formula for all numbers.

Step1:

LCM(238, 722) = 85918

GCD(238, 722) = ( 238 x 722 ) / 85918

= 238 / 722

= 238

Step2:

LCM(2, 306) = 306

GCD(2, 306) = ( 2 x 306 ) / 306

= 2 / 306

= 2

Step3:

LCM(2, 486) = 486

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

= 2 / 486

= 2

So, Greatest Common Divisor of 238, 722, 306, 486 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 769, 176, 461, 335
• GCD of 967, 253, 658, 697
• GCD of 983, 790, 511, 658
• GCD of 371, 650, 577, 362
• GCD of 330, 111, 900, 902

Given numbers are 238, 722, 306, 486
The greatest common divisor of numbers 238, 722, 306, 486 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 238, 722, 306, 486 is 2.

1. What is the GCD of 238, 722, 306, 486?

GCD of given numbers 238, 722, 306, 486 is 2

2. How to calculate the greatest common divisor of 238, 722, 306, 486?

We can find the highest common divisor of 238, 722, 306, 486 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 238, 722, 306, 486 i.e 2.

3. How can I use the GCD of 238, 722, 306, 486Calculator?

Out the numbers 238, 722, 306, 486 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.