GCD of 132, 313, 396, 144 Calculator

Given Input numbers are 132, 313, 396, 144

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

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

Divisors of 313 :

The positive integer divisors of 313 that completely divides 313 are.

1, 313

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 144 :

The positive integer divisors of 144 that completely divides 144 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

GCD of numbers is the greatest common divisor

So, the GCD (132, 313, 396, 144) = 1.

Given numbers are 132, 313, 396, 144

The list of prime factors of all numbers are

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

Prime factors of 313 are 313

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

Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3

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

Given numbers are 132, 313, 396, 144

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

Apply this formula for all numbers.

Step1:

LCM(132, 313) = 41316

GCD(132, 313) = ( 132 x 313 ) / 41316

= 132 / 313

= 132

Step2:

LCM(1, 396) = 396

GCD(1, 396) = ( 1 x 396 ) / 396

= 1 / 396

= 1

Step3:

LCM(1, 144) = 144

GCD(1, 144) = ( 1 x 144 ) / 144

= 1 / 144

= 1

So, Greatest Common Divisor of 132, 313, 396, 144 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 804, 938, 375, 940
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• GCD of 999, 530, 880, 993
• GCD of 783, 347, 792, 957

Given numbers are 132, 313, 396, 144
The greatest common divisor of numbers 132, 313, 396, 144 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 132, 313, 396, 144 is 1.

1. What is the GCD of 132, 313, 396, 144?

GCD of given numbers 132, 313, 396, 144 is 1

2. How to calculate the greatest common divisor of 132, 313, 396, 144?

We can find the highest common divisor of 132, 313, 396, 144 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 132, 313, 396, 144 i.e 1.

3. How can I use the GCD of 132, 313, 396, 144Calculator?

Out the numbers 132, 313, 396, 144 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.