GCD of 830, 216, 342, 788 Calculator

Given Input numbers are 830, 216, 342, 788

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

Divisors of 830 :

The positive integer divisors of 830 that completely divides 830 are.

1, 2, 5, 10, 83, 166, 415, 830

Divisors of 216 :

The positive integer divisors of 216 that completely divides 216 are.

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

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 788 :

The positive integer divisors of 788 that completely divides 788 are.

1, 2, 4, 197, 394, 788

GCD of numbers is the greatest common divisor

So, the GCD (830, 216, 342, 788) = 2.

Given numbers are 830, 216, 342, 788

The list of prime factors of all numbers are

Prime factors of 830 are 2 x 5 x 83

Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3

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

Prime factors of 788 are 2 x 2 x 197

The highest common occurrence is 2¹

Therefore, GCD of 830, 216, 342, 788 is 2.

Given numbers are 830, 216, 342, 788

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

Apply this formula for all numbers.

Step1:

LCM(830, 216) = 89640

GCD(830, 216) = ( 830 x 216 ) / 89640

= 830 / 216

= 830

Step2:

LCM(2, 342) = 342

GCD(2, 342) = ( 2 x 342 ) / 342

= 2 / 342

= 2

Step3:

LCM(2, 788) = 788

GCD(2, 788) = ( 2 x 788 ) / 788

= 2 / 788

= 2

So, Greatest Common Divisor of 830, 216, 342, 788 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 433, 919, 424, 608
• GCD of 484, 888, 609, 407
• GCD of 752, 524, 647, 357
• GCD of 858, 340, 330, 507
• GCD of 139, 809, 388, 181

Given numbers are 830, 216, 342, 788
The greatest common divisor of numbers 830, 216, 342, 788 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 830, 216, 342, 788 is 2.

1. What is the GCD of 830, 216, 342, 788?

GCD of given numbers 830, 216, 342, 788 is 2

2. How to calculate the greatest common divisor of 830, 216, 342, 788?

We can find the highest common divisor of 830, 216, 342, 788 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 830, 216, 342, 788 i.e 2.

3. How can I use the GCD of 830, 216, 342, 788Calculator?

Out the numbers 830, 216, 342, 788 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.