GCD of 132, 323, 589, 705 Calculator

Given Input numbers are 132, 323, 589, 705

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 323 :

The positive integer divisors of 323 that completely divides 323 are.

1, 17, 19, 323

Divisors of 589 :

The positive integer divisors of 589 that completely divides 589 are.

1, 19, 31, 589

Divisors of 705 :

The positive integer divisors of 705 that completely divides 705 are.

1, 3, 5, 15, 47, 141, 235, 705

GCD of numbers is the greatest common divisor

So, the GCD (132, 323, 589, 705) = 1.

Given numbers are 132, 323, 589, 705

The list of prime factors of all numbers are

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

Prime factors of 323 are 17 x 19

Prime factors of 589 are 19 x 31

Prime factors of 705 are 3 x 5 x 47

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

Given numbers are 132, 323, 589, 705

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

Apply this formula for all numbers.

Step1:

LCM(132, 323) = 42636

GCD(132, 323) = ( 132 x 323 ) / 42636

= 132 / 323

= 132

Step2:

LCM(1, 589) = 589

GCD(1, 589) = ( 1 x 589 ) / 589

= 1 / 589

= 1

Step3:

LCM(1, 705) = 705

GCD(1, 705) = ( 1 x 705 ) / 705

= 1 / 705

= 1

So, Greatest Common Divisor of 132, 323, 589, 705 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 464, 425, 695, 677
• GCD of 100, 624, 395, 777
• GCD of 841, 760, 739, 806
• GCD of 182, 368, 632, 245
• GCD of 955, 540, 644, 497

Given numbers are 132, 323, 589, 705
The greatest common divisor of numbers 132, 323, 589, 705 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 132, 323, 589, 705 is 1.

1. What is the GCD of 132, 323, 589, 705?

GCD of given numbers 132, 323, 589, 705 is 1

2. How to calculate the greatest common divisor of 132, 323, 589, 705?

We can find the highest common divisor of 132, 323, 589, 705 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, 323, 589, 705 i.e 1.

3. How can I use the GCD of 132, 323, 589, 705Calculator?

Out the numbers 132, 323, 589, 705 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.