GCD of 342, 720, 390, 682 Calculator

Given Input numbers are 342, 720, 390, 682

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

Divisors of 342 :

The positive integer divisors of 342 that completely divides 342 are.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 720 :

The positive integer divisors of 720 that completely divides 720 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Divisors of 390 :

The positive integer divisors of 390 that completely divides 390 are.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Divisors of 682 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (342, 720, 390, 682) = 2.

Given numbers are 342, 720, 390, 682

The list of prime factors of all numbers are

Prime factors of 342 are 2 x 3 x 3 x 19

Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 390 are 2 x 3 x 5 x 13

Prime factors of 682 are 2 x 11 x 31

The highest common occurrence is 2¹

Therefore, GCD of 342, 720, 390, 682 is 2.

Given numbers are 342, 720, 390, 682

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

Apply this formula for all numbers.

Step1:

LCM(342, 720) = 13680

GCD(342, 720) = ( 342 x 720 ) / 13680

= 342 / 720

= 342

Step2:

LCM(18, 390) = 1170

GCD(18, 390) = ( 18 x 390 ) / 1170

= 18 / 390

= 18

Step3:

LCM(6, 682) = 2046

GCD(6, 682) = ( 6 x 682 ) / 2046

= 6 / 682

= 6

So, Greatest Common Divisor of 342, 720, 390, 682 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 820, 762, 330, 129
• GCD of 408, 131, 451, 211
• GCD of 981, 284, 381, 688
• GCD of 750, 320, 213, 185
• GCD of 332, 427, 385, 273

Given numbers are 342, 720, 390, 682
The greatest common divisor of numbers 342, 720, 390, 682 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 342, 720, 390, 682 is 2.

1. What is the GCD of 342, 720, 390, 682?

GCD of given numbers 342, 720, 390, 682 is 2

2. How to calculate the greatest common divisor of 342, 720, 390, 682?

We can find the highest common divisor of 342, 720, 390, 682 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 342, 720, 390, 682 i.e 2.

3. How can I use the GCD of 342, 720, 390, 682Calculator?

Out the numbers 342, 720, 390, 682 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.