GCD of 390, 342, 782, 470 Calculator

Given Input numbers are 390, 342, 782, 470

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

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 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 782 :

The positive integer divisors of 782 that completely divides 782 are.

1, 2, 17, 23, 34, 46, 391, 782

Divisors of 470 :

The positive integer divisors of 470 that completely divides 470 are.

1, 2, 5, 10, 47, 94, 235, 470

GCD of numbers is the greatest common divisor

So, the GCD (390, 342, 782, 470) = 2.

Given numbers are 390, 342, 782, 470

The list of prime factors of all numbers are

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

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

Prime factors of 782 are 2 x 17 x 23

Prime factors of 470 are 2 x 5 x 47

The highest common occurrence is 2¹

Therefore, GCD of 390, 342, 782, 470 is 2.

Given numbers are 390, 342, 782, 470

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

Apply this formula for all numbers.

Step1:

LCM(390, 342) = 22230

GCD(390, 342) = ( 390 x 342 ) / 22230

= 390 / 342

= 390

Step2:

LCM(6, 782) = 2346

GCD(6, 782) = ( 6 x 782 ) / 2346

= 6 / 782

= 6

Step3:

LCM(2, 470) = 470

GCD(2, 470) = ( 2 x 470 ) / 470

= 2 / 470

= 2

So, Greatest Common Divisor of 390, 342, 782, 470 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 346, 686, 695, 450
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• GCD of 974, 529, 689, 224

Given numbers are 390, 342, 782, 470
The greatest common divisor of numbers 390, 342, 782, 470 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 390, 342, 782, 470 is 2.

1. What is the GCD of 390, 342, 782, 470?

GCD of given numbers 390, 342, 782, 470 is 2

2. How to calculate the greatest common divisor of 390, 342, 782, 470?

We can find the highest common divisor of 390, 342, 782, 470 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 390, 342, 782, 470 i.e 2.

3. How can I use the GCD of 390, 342, 782, 470Calculator?

Out the numbers 390, 342, 782, 470 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.