GCD of 409, 480, 344, 521 Calculator

Given Input numbers are 409, 480, 344, 521

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

Divisors of 409 :

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

1, 409

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 344 :

The positive integer divisors of 344 that completely divides 344 are.

1, 2, 4, 8, 43, 86, 172, 344

Divisors of 521 :

The positive integer divisors of 521 that completely divides 521 are.

1, 521

GCD of numbers is the greatest common divisor

So, the GCD (409, 480, 344, 521) = 1.

Given numbers are 409, 480, 344, 521

The list of prime factors of all numbers are

Prime factors of 409 are 409

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

Prime factors of 344 are 2 x 2 x 2 x 43

Prime factors of 521 are 521

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

Given numbers are 409, 480, 344, 521

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

Apply this formula for all numbers.

Step1:

LCM(409, 480) = 196320

GCD(409, 480) = ( 409 x 480 ) / 196320

= 409 / 480

= 409

Step2:

LCM(1, 344) = 344

GCD(1, 344) = ( 1 x 344 ) / 344

= 1 / 344

= 1

Step3:

LCM(1, 521) = 521

GCD(1, 521) = ( 1 x 521 ) / 521

= 1 / 521

= 1

So, Greatest Common Divisor of 409, 480, 344, 521 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 100, 128, 402, 445
• GCD of 608, 416, 921, 643
• GCD of 196, 402, 420, 952
• GCD of 982, 828, 512, 748
• GCD of 449, 869, 281, 327

Given numbers are 409, 480, 344, 521
The greatest common divisor of numbers 409, 480, 344, 521 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 409, 480, 344, 521 is 1.

1. What is the GCD of 409, 480, 344, 521?

GCD of given numbers 409, 480, 344, 521 is 1

2. How to calculate the greatest common divisor of 409, 480, 344, 521?

We can find the highest common divisor of 409, 480, 344, 521 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 409, 480, 344, 521 i.e 1.

3. How can I use the GCD of 409, 480, 344, 521Calculator?

Out the numbers 409, 480, 344, 521 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.