GCD of 342, 444, 480, 830 Calculator

Given Input numbers are 342, 444, 480, 830

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 444 :

The positive integer divisors of 444 that completely divides 444 are.

1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

Divisors of 480 :

The positive integer divisors of 480 that completely divides 480 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

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 (342, 444, 480, 830) = 2.

Given numbers are 342, 444, 480, 830

The list of prime factors of all numbers are

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

Prime factors of 444 are 2 x 2 x 3 x 37

Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 830 are 2 x 5 x 83

The highest common occurrence is 2¹

Therefore, GCD of 342, 444, 480, 830 is 2.

Given numbers are 342, 444, 480, 830

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

Apply this formula for all numbers.

Step1:

LCM(342, 444) = 25308

GCD(342, 444) = ( 342 x 444 ) / 25308

= 342 / 444

= 342

Step2:

LCM(6, 480) = 480

GCD(6, 480) = ( 6 x 480 ) / 480

= 6 / 480

= 6

Step3:

LCM(6, 830) = 2490

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

= 6 / 830

= 6

So, Greatest Common Divisor of 342, 444, 480, 830 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 308, 468, 543, 644
• GCD of 971, 185, 716, 755
• GCD of 967, 707, 518, 155
• GCD of 863, 380, 511, 155
• GCD of 932, 854, 619, 779

Given numbers are 342, 444, 480, 830
The greatest common divisor of numbers 342, 444, 480, 830 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 342, 444, 480, 830 is 2.

1. What is the GCD of 342, 444, 480, 830?

GCD of given numbers 342, 444, 480, 830 is 2

2. How to calculate the greatest common divisor of 342, 444, 480, 830?

We can find the highest common divisor of 342, 444, 480, 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 342, 444, 480, 830 i.e 2.

3. How can I use the GCD of 342, 444, 480, 830Calculator?

Out the numbers 342, 444, 480, 830 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.