GCD of 963, 522, 585, 343 Calculator

Given Input numbers are 963, 522, 585, 343

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

Divisors of 963 :

The positive integer divisors of 963 that completely divides 963 are.

1, 3, 9, 107, 321, 963

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 585 :

The positive integer divisors of 585 that completely divides 585 are.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

Divisors of 343 :

The positive integer divisors of 343 that completely divides 343 are.

1, 7, 49, 343

GCD of numbers is the greatest common divisor

So, the GCD (963, 522, 585, 343) = 1.

Given numbers are 963, 522, 585, 343

The list of prime factors of all numbers are

Prime factors of 963 are 3 x 3 x 107

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

Prime factors of 585 are 3 x 3 x 5 x 13

Prime factors of 343 are 7 x 7 x 7

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

Given numbers are 963, 522, 585, 343

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

Apply this formula for all numbers.

Step1:

LCM(963, 522) = 55854

GCD(963, 522) = ( 963 x 522 ) / 55854

= 963 / 522

= 963

Step2:

LCM(9, 585) = 585

GCD(9, 585) = ( 9 x 585 ) / 585

= 9 / 585

= 9

Step3:

LCM(9, 343) = 3087

GCD(9, 343) = ( 9 x 343 ) / 3087

= 9 / 343

= 9

So, Greatest Common Divisor of 963, 522, 585, 343 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 207, 796, 970, 806
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Given numbers are 963, 522, 585, 343
The greatest common divisor of numbers 963, 522, 585, 343 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 963, 522, 585, 343 is 1.

1. What is the GCD of 963, 522, 585, 343?

GCD of given numbers 963, 522, 585, 343 is 1

2. How to calculate the greatest common divisor of 963, 522, 585, 343?

We can find the highest common divisor of 963, 522, 585, 343 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 963, 522, 585, 343 i.e 1.

3. How can I use the GCD of 963, 522, 585, 343Calculator?

Out the numbers 963, 522, 585, 343 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.