GCD of 429, 393, 318, 504 Calculator

Given Input numbers are 429, 393, 318, 504

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

Divisors of 429 :

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

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

Divisors of 393 :

The positive integer divisors of 393 that completely divides 393 are.

1, 3, 131, 393

Divisors of 318 :

The positive integer divisors of 318 that completely divides 318 are.

1, 2, 3, 6, 53, 106, 159, 318

Divisors of 504 :

The positive integer divisors of 504 that completely divides 504 are.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

GCD of numbers is the greatest common divisor

So, the GCD (429, 393, 318, 504) = 3.

Given numbers are 429, 393, 318, 504

The list of prime factors of all numbers are

Prime factors of 429 are 3 x 11 x 13

Prime factors of 393 are 3 x 131

Prime factors of 318 are 2 x 3 x 53

Prime factors of 504 are 2 x 2 x 2 x 3 x 3 x 7

The highest common occurrence is 3¹

Therefore, GCD of 429, 393, 318, 504 is 3.

Given numbers are 429, 393, 318, 504

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

Apply this formula for all numbers.

Step1:

LCM(429, 393) = 56199

GCD(429, 393) = ( 429 x 393 ) / 56199

= 429 / 393

= 429

Step2:

LCM(3, 318) = 318

GCD(3, 318) = ( 3 x 318 ) / 318

= 3 / 318

= 3

Step3:

LCM(3, 504) = 504

GCD(3, 504) = ( 3 x 504 ) / 504

= 3 / 504

= 3

So, Greatest Common Divisor of 429, 393, 318, 504 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 865, 293, 320, 381
• GCD of 952, 470, 971, 528
• GCD of 666, 986, 492, 189
• GCD of 609, 911, 181, 738
• GCD of 286, 992, 852, 385

Given numbers are 429, 393, 318, 504
The greatest common divisor of numbers 429, 393, 318, 504 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 429, 393, 318, 504 is 3.

1. What is the GCD of 429, 393, 318, 504?

GCD of given numbers 429, 393, 318, 504 is 3

2. How to calculate the greatest common divisor of 429, 393, 318, 504?

We can find the highest common divisor of 429, 393, 318, 504 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 429, 393, 318, 504 i.e 3.

3. How can I use the GCD of 429, 393, 318, 504Calculator?

Out the numbers 429, 393, 318, 504 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.