GCD of 686, 828, 330, 602 Calculator

Given Input numbers are 686, 828, 330, 602

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

Divisors of 686 :

The positive integer divisors of 686 that completely divides 686 are.

1, 2, 7, 14, 49, 98, 343, 686

Divisors of 828 :

The positive integer divisors of 828 that completely divides 828 are.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 330 :

The positive integer divisors of 330 that completely divides 330 are.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

Divisors of 602 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (686, 828, 330, 602) = 2.

Given numbers are 686, 828, 330, 602

The list of prime factors of all numbers are

Prime factors of 686 are 2 x 7 x 7 x 7

Prime factors of 828 are 2 x 2 x 3 x 3 x 23

Prime factors of 330 are 2 x 3 x 5 x 11

Prime factors of 602 are 2 x 7 x 43

The highest common occurrence is 2¹

Therefore, GCD of 686, 828, 330, 602 is 2.

Given numbers are 686, 828, 330, 602

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

Apply this formula for all numbers.

Step1:

LCM(686, 828) = 284004

GCD(686, 828) = ( 686 x 828 ) / 284004

= 686 / 828

= 686

Step2:

LCM(2, 330) = 330

GCD(2, 330) = ( 2 x 330 ) / 330

= 2 / 330

= 2

Step3:

LCM(2, 602) = 602

GCD(2, 602) = ( 2 x 602 ) / 602

= 2 / 602

= 2

So, Greatest Common Divisor of 686, 828, 330, 602 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 129, 687, 959, 727
• GCD of 816, 684, 511, 431
• GCD of 844, 850, 481, 967
• GCD of 406, 935, 224, 973
• GCD of 440, 277, 836, 390

Given numbers are 686, 828, 330, 602
The greatest common divisor of numbers 686, 828, 330, 602 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 686, 828, 330, 602 is 2.

1. What is the GCD of 686, 828, 330, 602?

GCD of given numbers 686, 828, 330, 602 is 2

2. How to calculate the greatest common divisor of 686, 828, 330, 602?

We can find the highest common divisor of 686, 828, 330, 602 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 686, 828, 330, 602 i.e 2.

3. How can I use the GCD of 686, 828, 330, 602Calculator?

Out the numbers 686, 828, 330, 602 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.