GCD of 486, 682, 364, 206 Calculator

Given Input numbers are 486, 682, 364, 206

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 682 :

The positive integer divisors of 682 that completely divides 682 are.

1, 2, 11, 22, 31, 62, 341, 682

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 206 :

The positive integer divisors of 206 that completely divides 206 are.

1, 2, 103, 206

GCD of numbers is the greatest common divisor

So, the GCD (486, 682, 364, 206) = 2.

Given numbers are 486, 682, 364, 206

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 682 are 2 x 11 x 31

Prime factors of 364 are 2 x 2 x 7 x 13

Prime factors of 206 are 2 x 103

The highest common occurrence is 2¹

Therefore, GCD of 486, 682, 364, 206 is 2.

Given numbers are 486, 682, 364, 206

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

Apply this formula for all numbers.

Step1:

LCM(486, 682) = 165726

GCD(486, 682) = ( 486 x 682 ) / 165726

= 486 / 682

= 486

Step2:

LCM(2, 364) = 364

GCD(2, 364) = ( 2 x 364 ) / 364

= 2 / 364

= 2

Step3:

LCM(2, 206) = 206

GCD(2, 206) = ( 2 x 206 ) / 206

= 2 / 206

= 2

So, Greatest Common Divisor of 486, 682, 364, 206 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 423, 387, 744, 483
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Given numbers are 486, 682, 364, 206
The greatest common divisor of numbers 486, 682, 364, 206 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 486, 682, 364, 206 is 2.

1. What is the GCD of 486, 682, 364, 206?

GCD of given numbers 486, 682, 364, 206 is 2

2. How to calculate the greatest common divisor of 486, 682, 364, 206?

We can find the highest common divisor of 486, 682, 364, 206 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, 682, 364, 206 i.e 2.

3. How can I use the GCD of 486, 682, 364, 206Calculator?

Out the numbers 486, 682, 364, 206 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.