GCD of 480, 412, 351, 416 Calculator

Given Input numbers are 480, 412, 351, 416

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 412 :

The positive integer divisors of 412 that completely divides 412 are.

1, 2, 4, 103, 206, 412

Divisors of 351 :

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

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

Divisors of 416 :

The positive integer divisors of 416 that completely divides 416 are.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

GCD of numbers is the greatest common divisor

So, the GCD (480, 412, 351, 416) = 1.

Given numbers are 480, 412, 351, 416

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 412 are 2 x 2 x 103

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

Prime factors of 416 are 2 x 2 x 2 x 2 x 2 x 13

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 480, 412, 351, 416

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

Apply this formula for all numbers.

Step1:

LCM(480, 412) = 49440

GCD(480, 412) = ( 480 x 412 ) / 49440

= 480 / 412

= 480

Step2:

LCM(4, 351) = 1404

GCD(4, 351) = ( 4 x 351 ) / 1404

= 4 / 351

= 4

Step3:

LCM(1, 416) = 416

GCD(1, 416) = ( 1 x 416 ) / 416

= 1 / 416

= 1

So, Greatest Common Divisor of 480, 412, 351, 416 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 334, 193, 745, 539
• GCD of 719, 994, 904, 483
• GCD of 617, 324, 580, 270
• GCD of 673, 932, 553, 492
• GCD of 153, 353, 611, 878

Given numbers are 480, 412, 351, 416
The greatest common divisor of numbers 480, 412, 351, 416 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 480, 412, 351, 416 is 1.

1. What is the GCD of 480, 412, 351, 416?

GCD of given numbers 480, 412, 351, 416 is 1

2. How to calculate the greatest common divisor of 480, 412, 351, 416?

We can find the highest common divisor of 480, 412, 351, 416 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, 412, 351, 416 i.e 1.

3. How can I use the GCD of 480, 412, 351, 416Calculator?

Out the numbers 480, 412, 351, 416 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.