GCD of 682, 394, 204, 648 Calculator

Given Input numbers are 682, 394, 204, 648

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

Divisors of 682 :

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

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

Divisors of 394 :

The positive integer divisors of 394 that completely divides 394 are.

1, 2, 197, 394

Divisors of 204 :

The positive integer divisors of 204 that completely divides 204 are.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

Divisors of 648 :

The positive integer divisors of 648 that completely divides 648 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

GCD of numbers is the greatest common divisor

So, the GCD (682, 394, 204, 648) = 2.

Given numbers are 682, 394, 204, 648

The list of prime factors of all numbers are

Prime factors of 682 are 2 x 11 x 31

Prime factors of 394 are 2 x 197

Prime factors of 204 are 2 x 2 x 3 x 17

Prime factors of 648 are 2 x 2 x 2 x 3 x 3 x 3 x 3

The highest common occurrence is 2¹

Therefore, GCD of 682, 394, 204, 648 is 2.

Given numbers are 682, 394, 204, 648

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

Apply this formula for all numbers.

Step1:

LCM(682, 394) = 134354

GCD(682, 394) = ( 682 x 394 ) / 134354

= 682 / 394

= 682

Step2:

LCM(2, 204) = 204

GCD(2, 204) = ( 2 x 204 ) / 204

= 2 / 204

= 2

Step3:

LCM(2, 648) = 648

GCD(2, 648) = ( 2 x 648 ) / 648

= 2 / 648

= 2

So, Greatest Common Divisor of 682, 394, 204, 648 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 164, 845, 128, 377
• GCD of 775, 168, 735, 423
• GCD of 273, 109, 807, 880
• GCD of 844, 428, 152, 696
• GCD of 295, 103, 447, 907

Given numbers are 682, 394, 204, 648
The greatest common divisor of numbers 682, 394, 204, 648 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 682, 394, 204, 648 is 2.

1. What is the GCD of 682, 394, 204, 648?

GCD of given numbers 682, 394, 204, 648 is 2

2. How to calculate the greatest common divisor of 682, 394, 204, 648?

We can find the highest common divisor of 682, 394, 204, 648 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 682, 394, 204, 648 i.e 2.

3. How can I use the GCD of 682, 394, 204, 648Calculator?

Out the numbers 682, 394, 204, 648 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.