GCD of 132, 144, 310, 261 Calculator

Given Input numbers are 132, 144, 310, 261

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 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

Divisors of 310 :

The positive integer divisors of 310 that completely divides 310 are.

1, 2, 5, 10, 31, 62, 155, 310

Divisors of 261 :

The positive integer divisors of 261 that completely divides 261 are.

1, 3, 9, 29, 87, 261

GCD of numbers is the greatest common divisor

So, the GCD (132, 144, 310, 261) = 1.

Given numbers are 132, 144, 310, 261

The list of prime factors of all numbers are

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

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

Prime factors of 310 are 2 x 5 x 31

Prime factors of 261 are 3 x 3 x 29

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

Given numbers are 132, 144, 310, 261

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

Apply this formula for all numbers.

Step1:

LCM(132, 144) = 1584

GCD(132, 144) = ( 132 x 144 ) / 1584

= 132 / 144

= 132

Step2:

LCM(12, 310) = 1860

GCD(12, 310) = ( 12 x 310 ) / 1860

= 12 / 310

= 12

Step3:

LCM(2, 261) = 522

GCD(2, 261) = ( 2 x 261 ) / 522

= 2 / 261

= 2

So, Greatest Common Divisor of 132, 144, 310, 261 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 182, 199, 822, 197
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Given numbers are 132, 144, 310, 261
The greatest common divisor of numbers 132, 144, 310, 261 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 132, 144, 310, 261 is 1.

1. What is the GCD of 132, 144, 310, 261?

GCD of given numbers 132, 144, 310, 261 is 1

2. How to calculate the greatest common divisor of 132, 144, 310, 261?

We can find the highest common divisor of 132, 144, 310, 261 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, 144, 310, 261 i.e 1.

3. How can I use the GCD of 132, 144, 310, 261Calculator?

Out the numbers 132, 144, 310, 261 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.