GCD of 531, 960, 782, 401 Calculator

Given Input numbers are 531, 960, 782, 401

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

Divisors of 531 :

The positive integer divisors of 531 that completely divides 531 are.

1, 3, 9, 59, 177, 531

Divisors of 960 :

The positive integer divisors of 960 that completely divides 960 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Divisors of 782 :

The positive integer divisors of 782 that completely divides 782 are.

1, 2, 17, 23, 34, 46, 391, 782

Divisors of 401 :

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

1, 401

GCD of numbers is the greatest common divisor

So, the GCD (531, 960, 782, 401) = 1.

Given numbers are 531, 960, 782, 401

The list of prime factors of all numbers are

Prime factors of 531 are 3 x 3 x 59

Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 782 are 2 x 17 x 23

Prime factors of 401 are 401

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

Given numbers are 531, 960, 782, 401

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

Apply this formula for all numbers.

Step1:

LCM(531, 960) = 169920

GCD(531, 960) = ( 531 x 960 ) / 169920

= 531 / 960

= 531

Step2:

LCM(3, 782) = 2346

GCD(3, 782) = ( 3 x 782 ) / 2346

= 3 / 782

= 3

Step3:

LCM(1, 401) = 401

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

= 1 / 401

= 1

So, Greatest Common Divisor of 531, 960, 782, 401 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 771, 793, 457, 585
• GCD of 335, 180, 261, 252
• GCD of 301, 479, 515, 975
• GCD of 459, 789, 323, 971
• GCD of 383, 499, 609, 856

Given numbers are 531, 960, 782, 401
The greatest common divisor of numbers 531, 960, 782, 401 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 531, 960, 782, 401 is 1.

1. What is the GCD of 531, 960, 782, 401?

GCD of given numbers 531, 960, 782, 401 is 1

2. How to calculate the greatest common divisor of 531, 960, 782, 401?

We can find the highest common divisor of 531, 960, 782, 401 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 531, 960, 782, 401 i.e 1.

3. How can I use the GCD of 531, 960, 782, 401Calculator?

Out the numbers 531, 960, 782, 401 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.