GCD of 319, 396, 225, 132 Calculator

Given Input numbers are 319, 396, 225, 132

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

Divisors of 319 :

The positive integer divisors of 319 that completely divides 319 are.

1, 11, 29, 319

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 225 :

The positive integer divisors of 225 that completely divides 225 are.

1, 3, 5, 9, 15, 25, 45, 75, 225

Divisors of 132 :

The positive integer divisors of 132 that completely divides 132 are.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

GCD of numbers is the greatest common divisor

So, the GCD (319, 396, 225, 132) = 1.

Given numbers are 319, 396, 225, 132

The list of prime factors of all numbers are

Prime factors of 319 are 11 x 29

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

Prime factors of 225 are 3 x 3 x 5 x 5

Prime factors of 132 are 2 x 2 x 3 x 11

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

Given numbers are 319, 396, 225, 132

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

Apply this formula for all numbers.

Step1:

LCM(319, 396) = 11484

GCD(319, 396) = ( 319 x 396 ) / 11484

= 319 / 396

= 319

Step2:

LCM(11, 225) = 2475

GCD(11, 225) = ( 11 x 225 ) / 2475

= 11 / 225

= 11

Step3:

LCM(1, 132) = 132

GCD(1, 132) = ( 1 x 132 ) / 132

= 1 / 132

= 1

So, Greatest Common Divisor of 319, 396, 225, 132 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 480, 448, 442, 796
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• GCD of 722, 291, 378, 643
• GCD of 106, 603, 345, 766
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Given numbers are 319, 396, 225, 132
The greatest common divisor of numbers 319, 396, 225, 132 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 319, 396, 225, 132 is 1.

1. What is the GCD of 319, 396, 225, 132?

GCD of given numbers 319, 396, 225, 132 is 1

2. How to calculate the greatest common divisor of 319, 396, 225, 132?

We can find the highest common divisor of 319, 396, 225, 132 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 319, 396, 225, 132 i.e 1.

3. How can I use the GCD of 319, 396, 225, 132Calculator?

Out the numbers 319, 396, 225, 132 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.