GCD of 520, 409, 616, 480 Calculator

Given Input numbers are 520, 409, 616, 480

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

Divisors of 520 :

The positive integer divisors of 520 that completely divides 520 are.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

Divisors of 409 :

The positive integer divisors of 409 that completely divides 409 are.

1, 409

Divisors of 616 :

The positive integer divisors of 616 that completely divides 616 are.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

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 (520, 409, 616, 480) = 1.

Given numbers are 520, 409, 616, 480

The list of prime factors of all numbers are

Prime factors of 520 are 2 x 2 x 2 x 5 x 13

Prime factors of 409 are 409

Prime factors of 616 are 2 x 2 x 2 x 7 x 11

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

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

Given numbers are 520, 409, 616, 480

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

Apply this formula for all numbers.

Step1:

LCM(520, 409) = 212680

GCD(520, 409) = ( 520 x 409 ) / 212680

= 520 / 409

= 520

Step2:

LCM(1, 616) = 616

GCD(1, 616) = ( 1 x 616 ) / 616

= 1 / 616

= 1

Step3:

LCM(1, 480) = 480

GCD(1, 480) = ( 1 x 480 ) / 480

= 1 / 480

= 1

So, Greatest Common Divisor of 520, 409, 616, 480 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 677, 947, 338, 796
• GCD of 811, 549, 727, 352
• GCD of 569, 671, 837, 668
• GCD of 421, 416, 344, 962
• GCD of 607, 169, 318, 733

Given numbers are 520, 409, 616, 480
The greatest common divisor of numbers 520, 409, 616, 480 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 520, 409, 616, 480 is 1.

1. What is the GCD of 520, 409, 616, 480?

GCD of given numbers 520, 409, 616, 480 is 1

2. How to calculate the greatest common divisor of 520, 409, 616, 480?

We can find the highest common divisor of 520, 409, 616, 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 520, 409, 616, 480 i.e 1.

3. How can I use the GCD of 520, 409, 616, 480Calculator?

Out the numbers 520, 409, 616, 480 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.