GCD of 494, 602, 682, 728 Calculator

Given Input numbers are 494, 602, 682, 728

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

Divisors of 494 :

The positive integer divisors of 494 that completely divides 494 are.

1, 2, 13, 19, 26, 38, 247, 494

Divisors of 602 :

The positive integer divisors of 602 that completely divides 602 are.

1, 2, 7, 14, 43, 86, 301, 602

Divisors of 682 :

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

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

Divisors of 728 :

The positive integer divisors of 728 that completely divides 728 are.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

GCD of numbers is the greatest common divisor

So, the GCD (494, 602, 682, 728) = 2.

Given numbers are 494, 602, 682, 728

The list of prime factors of all numbers are

Prime factors of 494 are 2 x 13 x 19

Prime factors of 602 are 2 x 7 x 43

Prime factors of 682 are 2 x 11 x 31

Prime factors of 728 are 2 x 2 x 2 x 7 x 13

The highest common occurrence is 2¹

Therefore, GCD of 494, 602, 682, 728 is 2.

Given numbers are 494, 602, 682, 728

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

Apply this formula for all numbers.

Step1:

LCM(494, 602) = 148694

GCD(494, 602) = ( 494 x 602 ) / 148694

= 494 / 602

= 494

Step2:

LCM(2, 682) = 682

GCD(2, 682) = ( 2 x 682 ) / 682

= 2 / 682

= 2

Step3:

LCM(2, 728) = 728

GCD(2, 728) = ( 2 x 728 ) / 728

= 2 / 728

= 2

So, Greatest Common Divisor of 494, 602, 682, 728 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 382, 784, 963, 544
• GCD of 744, 821, 358, 658
• GCD of 887, 438, 975, 699
• GCD of 311, 574, 115, 567
• GCD of 285, 473, 658, 106

Given numbers are 494, 602, 682, 728
The greatest common divisor of numbers 494, 602, 682, 728 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 494, 602, 682, 728 is 2.

1. What is the GCD of 494, 602, 682, 728?

GCD of given numbers 494, 602, 682, 728 is 2

2. How to calculate the greatest common divisor of 494, 602, 682, 728?

We can find the highest common divisor of 494, 602, 682, 728 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 494, 602, 682, 728 i.e 2.

3. How can I use the GCD of 494, 602, 682, 728Calculator?

Out the numbers 494, 602, 682, 728 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.