GCD of 312, 353, 303, 132 Calculator

Given Input numbers are 312, 353, 303, 132

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

Divisors of 312 :

The positive integer divisors of 312 that completely divides 312 are.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 353 :

The positive integer divisors of 353 that completely divides 353 are.

1, 353

Divisors of 303 :

The positive integer divisors of 303 that completely divides 303 are.

1, 3, 101, 303

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 (312, 353, 303, 132) = 1.

Given numbers are 312, 353, 303, 132

The list of prime factors of all numbers are

Prime factors of 312 are 2 x 2 x 2 x 3 x 13

Prime factors of 353 are 353

Prime factors of 303 are 3 x 101

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 312, 353, 303, 132

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

Apply this formula for all numbers.

Step1:

LCM(312, 353) = 110136

GCD(312, 353) = ( 312 x 353 ) / 110136

= 312 / 353

= 312

Step2:

LCM(1, 303) = 303

GCD(1, 303) = ( 1 x 303 ) / 303

= 1 / 303

= 1

Step3:

LCM(1, 132) = 132

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

= 1 / 132

= 1

So, Greatest Common Divisor of 312, 353, 303, 132 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 352, 776, 318, 845
• GCD of 517, 505, 529, 337
• GCD of 634, 934, 584, 311
• GCD of 204, 899, 917, 821
• GCD of 407, 918, 348, 418

Given numbers are 312, 353, 303, 132
The greatest common divisor of numbers 312, 353, 303, 132 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 312, 353, 303, 132 is 1.

1. What is the GCD of 312, 353, 303, 132?

GCD of given numbers 312, 353, 303, 132 is 1

2. How to calculate the greatest common divisor of 312, 353, 303, 132?

We can find the highest common divisor of 312, 353, 303, 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 312, 353, 303, 132 i.e 1.

3. How can I use the GCD of 312, 353, 303, 132Calculator?

Out the numbers 312, 353, 303, 132 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.