GCD of 396, 519, 960, 175 Calculator

Given Input numbers are 396, 519, 960, 175

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

Divisors of 396 :

The positive integer divisors of 396 that completely divides 396 are.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Divisors of 519 :

The positive integer divisors of 519 that completely divides 519 are.

1, 3, 173, 519

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 175 :

The positive integer divisors of 175 that completely divides 175 are.

1, 5, 7, 25, 35, 175

GCD of numbers is the greatest common divisor

So, the GCD (396, 519, 960, 175) = 1.

Given numbers are 396, 519, 960, 175

The list of prime factors of all numbers are

Prime factors of 396 are 2 x 2 x 3 x 3 x 11

Prime factors of 519 are 3 x 173

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

Prime factors of 175 are 5 x 5 x 7

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

Given numbers are 396, 519, 960, 175

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

Apply this formula for all numbers.

Step1:

LCM(396, 519) = 68508

GCD(396, 519) = ( 396 x 519 ) / 68508

= 396 / 519

= 396

Step2:

LCM(3, 960) = 960

GCD(3, 960) = ( 3 x 960 ) / 960

= 3 / 960

= 3

Step3:

LCM(3, 175) = 525

GCD(3, 175) = ( 3 x 175 ) / 525

= 3 / 175

= 3

So, Greatest Common Divisor of 396, 519, 960, 175 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 547, 445, 930, 483
• GCD of 728, 656, 206, 967
• GCD of 649, 522, 342, 190
• GCD of 144, 406, 623, 920
• GCD of 299, 424, 433, 911

Given numbers are 396, 519, 960, 175
The greatest common divisor of numbers 396, 519, 960, 175 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 396, 519, 960, 175 is 1.

1. What is the GCD of 396, 519, 960, 175?

GCD of given numbers 396, 519, 960, 175 is 1

2. How to calculate the greatest common divisor of 396, 519, 960, 175?

We can find the highest common divisor of 396, 519, 960, 175 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 396, 519, 960, 175 i.e 1.

3. How can I use the GCD of 396, 519, 960, 175Calculator?

Out the numbers 396, 519, 960, 175 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.