GCD of 522, 958, 653, 960 Calculator

Given Input numbers are 522, 958, 653, 960

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

Divisors of 522 :

The positive integer divisors of 522 that completely divides 522 are.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

Divisors of 958 :

The positive integer divisors of 958 that completely divides 958 are.

1, 2, 479, 958

Divisors of 653 :

The positive integer divisors of 653 that completely divides 653 are.

1, 653

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

GCD of numbers is the greatest common divisor

So, the GCD (522, 958, 653, 960) = 1.

Given numbers are 522, 958, 653, 960

The list of prime factors of all numbers are

Prime factors of 522 are 2 x 3 x 3 x 29

Prime factors of 958 are 2 x 479

Prime factors of 653 are 653

Prime factors of 960 are 2 x 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 522, 958, 653, 960

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

Apply this formula for all numbers.

Step1:

LCM(522, 958) = 250038

GCD(522, 958) = ( 522 x 958 ) / 250038

= 522 / 958

= 522

Step2:

LCM(2, 653) = 1306

GCD(2, 653) = ( 2 x 653 ) / 1306

= 2 / 653

= 2

Step3:

LCM(1, 960) = 960

GCD(1, 960) = ( 1 x 960 ) / 960

= 1 / 960

= 1

So, Greatest Common Divisor of 522, 958, 653, 960 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 959, 564, 601, 347
• GCD of 173, 686, 131, 109
• GCD of 934, 221, 681, 427
• GCD of 438, 869, 854, 471
• GCD of 499, 283, 646, 693

Given numbers are 522, 958, 653, 960
The greatest common divisor of numbers 522, 958, 653, 960 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 522, 958, 653, 960 is 1.

1. What is the GCD of 522, 958, 653, 960?

GCD of given numbers 522, 958, 653, 960 is 1

2. How to calculate the greatest common divisor of 522, 958, 653, 960?

We can find the highest common divisor of 522, 958, 653, 960 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 522, 958, 653, 960 i.e 1.

3. How can I use the GCD of 522, 958, 653, 960Calculator?

Out the numbers 522, 958, 653, 960 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.