GCD of 768, 162, 360, 830 Calculator

Given Input numbers are 768, 162, 360, 830

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

Divisors of 768 :

The positive integer divisors of 768 that completely divides 768 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

Divisors of 162 :

The positive integer divisors of 162 that completely divides 162 are.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

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

Divisors of 830 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (768, 162, 360, 830) = 2.

Given numbers are 768, 162, 360, 830

The list of prime factors of all numbers are

Prime factors of 768 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 162 are 2 x 3 x 3 x 3 x 3

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 830 are 2 x 5 x 83

The highest common occurrence is 2¹

Therefore, GCD of 768, 162, 360, 830 is 2.

Given numbers are 768, 162, 360, 830

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

Apply this formula for all numbers.

Step1:

LCM(768, 162) = 20736

GCD(768, 162) = ( 768 x 162 ) / 20736

= 768 / 162

= 768

Step2:

LCM(6, 360) = 360

GCD(6, 360) = ( 6 x 360 ) / 360

= 6 / 360

= 6

Step3:

LCM(6, 830) = 2490

GCD(6, 830) = ( 6 x 830 ) / 2490

= 6 / 830

= 6

So, Greatest Common Divisor of 768, 162, 360, 830 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 382, 811, 714, 363
• GCD of 152, 177, 674, 116
• GCD of 260, 359, 164, 522
• GCD of 372, 334, 409, 932
• GCD of 916, 531, 244, 436

Given numbers are 768, 162, 360, 830
The greatest common divisor of numbers 768, 162, 360, 830 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 768, 162, 360, 830 is 2.

1. What is the GCD of 768, 162, 360, 830?

GCD of given numbers 768, 162, 360, 830 is 2

2. How to calculate the greatest common divisor of 768, 162, 360, 830?

We can find the highest common divisor of 768, 162, 360, 830 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 768, 162, 360, 830 i.e 2.

3. How can I use the GCD of 768, 162, 360, 830Calculator?

Out the numbers 768, 162, 360, 830 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.