GCD of 408, 351, 39, 480 Calculator

Given Input numbers are 408, 351, 39, 480

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

Divisors of 408 :

The positive integer divisors of 408 that completely divides 408 are.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Divisors of 351 :

The positive integer divisors of 351 that completely divides 351 are.

1, 3, 9, 13, 27, 39, 117, 351

Divisors of 39 :

The positive integer divisors of 39 that completely divides 39 are.

1, 3, 13, 39

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

GCD of numbers is the greatest common divisor

So, the GCD (408, 351, 39, 480) = 3.

Given numbers are 408, 351, 39, 480

The list of prime factors of all numbers are

Prime factors of 408 are 2 x 2 x 2 x 3 x 17

Prime factors of 351 are 3 x 3 x 3 x 13

Prime factors of 39 are 3 x 13

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

The highest common occurrence is 3¹

Therefore, GCD of 408, 351, 39, 480 is 3.

Given numbers are 408, 351, 39, 480

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

Apply this formula for all numbers.

Step1:

LCM(408, 351) = 47736

GCD(408, 351) = ( 408 x 351 ) / 47736

= 408 / 351

= 408

Step2:

LCM(3, 39) = 39

GCD(3, 39) = ( 3 x 39 ) / 39

= 3 / 39

= 3

Step3:

LCM(3, 480) = 480

GCD(3, 480) = ( 3 x 480 ) / 480

= 3 / 480

= 3

So, Greatest Common Divisor of 408, 351, 39, 480 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 197, 577, 48, 208
• GCD of 177, 911, 71, 908
• GCD of 798, 957, 55, 238
• GCD of 864, 672, 84, 494
• GCD of 137, 393, 23, 828

Given numbers are 408, 351, 39, 480
The greatest common divisor of numbers 408, 351, 39, 480 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 408, 351, 39, 480 is 3.

1. What is the GCD of 408, 351, 39, 480?

GCD of given numbers 408, 351, 39, 480 is 3

2. How to calculate the greatest common divisor of 408, 351, 39, 480?

We can find the highest common divisor of 408, 351, 39, 480 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 408, 351, 39, 480 i.e 3.

3. How can I use the GCD of 408, 351, 39, 480Calculator?

Out the numbers 408, 351, 39, 480 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.