GCD of 273, 342, 310, 132 Calculator

Given Input numbers are 273, 342, 310, 132

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

Divisors of 273 :

The positive integer divisors of 273 that completely divides 273 are.

1, 3, 7, 13, 21, 39, 91, 273

Divisors of 342 :

The positive integer divisors of 342 that completely divides 342 are.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 310 :

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

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

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 (273, 342, 310, 132) = 1.

Given numbers are 273, 342, 310, 132

The list of prime factors of all numbers are

Prime factors of 273 are 3 x 7 x 13

Prime factors of 342 are 2 x 3 x 3 x 19

Prime factors of 310 are 2 x 5 x 31

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 273, 342, 310, 132

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

Apply this formula for all numbers.

Step1:

LCM(273, 342) = 31122

GCD(273, 342) = ( 273 x 342 ) / 31122

= 273 / 342

= 273

Step2:

LCM(3, 310) = 930

GCD(3, 310) = ( 3 x 310 ) / 930

= 3 / 310

= 3

Step3:

LCM(1, 132) = 132

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

= 1 / 132

= 1

So, Greatest Common Divisor of 273, 342, 310, 132 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 923, 911, 729, 696
• GCD of 218, 985, 187, 548
• GCD of 918, 510, 340, 499
• GCD of 937, 909, 273, 554
• GCD of 623, 371, 647, 332

Given numbers are 273, 342, 310, 132
The greatest common divisor of numbers 273, 342, 310, 132 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 273, 342, 310, 132 is 1.

1. What is the GCD of 273, 342, 310, 132?

GCD of given numbers 273, 342, 310, 132 is 1

2. How to calculate the greatest common divisor of 273, 342, 310, 132?

We can find the highest common divisor of 273, 342, 310, 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 273, 342, 310, 132 i.e 1.

3. How can I use the GCD of 273, 342, 310, 132Calculator?

Out the numbers 273, 342, 310, 132 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.