GCD of 480, 516, 404, 313 Calculator

Given Input numbers are 480, 516, 404, 313

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 516 :

The positive integer divisors of 516 that completely divides 516 are.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

Divisors of 404 :

The positive integer divisors of 404 that completely divides 404 are.

1, 2, 4, 101, 202, 404

Divisors of 313 :

The positive integer divisors of 313 that completely divides 313 are.

1, 313

GCD of numbers is the greatest common divisor

So, the GCD (480, 516, 404, 313) = 1.

Given numbers are 480, 516, 404, 313

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 516 are 2 x 2 x 3 x 43

Prime factors of 404 are 2 x 2 x 101

Prime factors of 313 are 313

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

Given numbers are 480, 516, 404, 313

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

Apply this formula for all numbers.

Step1:

LCM(480, 516) = 20640

GCD(480, 516) = ( 480 x 516 ) / 20640

= 480 / 516

= 480

Step2:

LCM(12, 404) = 1212

GCD(12, 404) = ( 12 x 404 ) / 1212

= 12 / 404

= 12

Step3:

LCM(4, 313) = 1252

GCD(4, 313) = ( 4 x 313 ) / 1252

= 4 / 313

= 4

So, Greatest Common Divisor of 480, 516, 404, 313 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 101, 254, 839, 249
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• GCD of 595, 521, 270, 297
• GCD of 350, 596, 729, 729
• GCD of 282, 785, 663, 390

Given numbers are 480, 516, 404, 313
The greatest common divisor of numbers 480, 516, 404, 313 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 480, 516, 404, 313 is 1.

1. What is the GCD of 480, 516, 404, 313?

GCD of given numbers 480, 516, 404, 313 is 1

2. How to calculate the greatest common divisor of 480, 516, 404, 313?

We can find the highest common divisor of 480, 516, 404, 313 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, 516, 404, 313 i.e 1.

3. How can I use the GCD of 480, 516, 404, 313Calculator?

Out the numbers 480, 516, 404, 313 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.