GCD of 289, 520, 401, 440 Calculator

Given Input numbers are 289, 520, 401, 440

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

Divisors of 289 :

The positive integer divisors of 289 that completely divides 289 are.

1, 17, 289

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 401 :

The positive integer divisors of 401 that completely divides 401 are.

1, 401

Divisors of 440 :

The positive integer divisors of 440 that completely divides 440 are.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

GCD of numbers is the greatest common divisor

So, the GCD (289, 520, 401, 440) = 1.

Given numbers are 289, 520, 401, 440

The list of prime factors of all numbers are

Prime factors of 289 are 17 x 17

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

Prime factors of 401 are 401

Prime factors of 440 are 2 x 2 x 2 x 5 x 11

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

Given numbers are 289, 520, 401, 440

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

Apply this formula for all numbers.

Step1:

LCM(289, 520) = 150280

GCD(289, 520) = ( 289 x 520 ) / 150280

= 289 / 520

= 289

Step2:

LCM(1, 401) = 401

GCD(1, 401) = ( 1 x 401 ) / 401

= 1 / 401

= 1

Step3:

LCM(1, 440) = 440

GCD(1, 440) = ( 1 x 440 ) / 440

= 1 / 440

= 1

So, Greatest Common Divisor of 289, 520, 401, 440 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 809, 866, 848, 909
• GCD of 442, 532, 794, 802
• GCD of 599, 710, 823, 559
• GCD of 573, 127, 683, 390
• GCD of 431, 218, 172, 416

Given numbers are 289, 520, 401, 440
The greatest common divisor of numbers 289, 520, 401, 440 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 289, 520, 401, 440 is 1.

1. What is the GCD of 289, 520, 401, 440?

GCD of given numbers 289, 520, 401, 440 is 1

2. How to calculate the greatest common divisor of 289, 520, 401, 440?

We can find the highest common divisor of 289, 520, 401, 440 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 289, 520, 401, 440 i.e 1.

3. How can I use the GCD of 289, 520, 401, 440Calculator?

Out the numbers 289, 520, 401, 440 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.