GCD of 480, 204, 276, 429 Calculator

Given Input numbers are 480, 204, 276, 429

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

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 204 :

The positive integer divisors of 204 that completely divides 204 are.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

Divisors of 276 :

The positive integer divisors of 276 that completely divides 276 are.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

Divisors of 429 :

The positive integer divisors of 429 that completely divides 429 are.

1, 3, 11, 13, 33, 39, 143, 429

GCD of numbers is the greatest common divisor

So, the GCD (480, 204, 276, 429) = 3.

Given numbers are 480, 204, 276, 429

The list of prime factors of all numbers are

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

Prime factors of 204 are 2 x 2 x 3 x 17

Prime factors of 276 are 2 x 2 x 3 x 23

Prime factors of 429 are 3 x 11 x 13

The highest common occurrence is 3¹

Therefore, GCD of 480, 204, 276, 429 is 3.

Given numbers are 480, 204, 276, 429

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

Apply this formula for all numbers.

Step1:

LCM(480, 204) = 8160

GCD(480, 204) = ( 480 x 204 ) / 8160

= 480 / 204

= 480

Step2:

LCM(12, 276) = 276

GCD(12, 276) = ( 12 x 276 ) / 276

= 12 / 276

= 12

Step3:

LCM(12, 429) = 1716

GCD(12, 429) = ( 12 x 429 ) / 1716

= 12 / 429

= 12

So, Greatest Common Divisor of 480, 204, 276, 429 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 227, 421, 798, 415
• GCD of 356, 967, 920, 795
• GCD of 510, 806, 601, 399
• GCD of 250, 605, 959, 794
• GCD of 517, 751, 445, 356

Given numbers are 480, 204, 276, 429
The greatest common divisor of numbers 480, 204, 276, 429 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 480, 204, 276, 429 is 3.

1. What is the GCD of 480, 204, 276, 429?

GCD of given numbers 480, 204, 276, 429 is 3

2. How to calculate the greatest common divisor of 480, 204, 276, 429?

We can find the highest common divisor of 480, 204, 276, 429 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 480, 204, 276, 429 i.e 3.

3. How can I use the GCD of 480, 204, 276, 429Calculator?

Out the numbers 480, 204, 276, 429 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.