GCD of 132, 297, 129, 109 Calculator

Given Input numbers are 132, 297, 129, 109

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 297 :

The positive integer divisors of 297 that completely divides 297 are.

1, 3, 9, 11, 27, 33, 99, 297

Divisors of 129 :

The positive integer divisors of 129 that completely divides 129 are.

1, 3, 43, 129

Divisors of 109 :

The positive integer divisors of 109 that completely divides 109 are.

1, 109

GCD of numbers is the greatest common divisor

So, the GCD (132, 297, 129, 109) = 1.

Given numbers are 132, 297, 129, 109

The list of prime factors of all numbers are

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

Prime factors of 297 are 3 x 3 x 3 x 11

Prime factors of 129 are 3 x 43

Prime factors of 109 are 109

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

Given numbers are 132, 297, 129, 109

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

Apply this formula for all numbers.

Step1:

LCM(132, 297) = 1188

GCD(132, 297) = ( 132 x 297 ) / 1188

= 132 / 297

= 132

Step2:

LCM(33, 129) = 1419

GCD(33, 129) = ( 33 x 129 ) / 1419

= 33 / 129

= 33

Step3:

LCM(3, 109) = 327

GCD(3, 109) = ( 3 x 109 ) / 327

= 3 / 109

= 3

So, Greatest Common Divisor of 132, 297, 129, 109 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 811, 238, 300, 431
• GCD of 785, 182, 886, 676
• GCD of 634, 651, 108, 776
• GCD of 605, 115, 822, 493
• GCD of 737, 261, 679, 969

Given numbers are 132, 297, 129, 109
The greatest common divisor of numbers 132, 297, 129, 109 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 132, 297, 129, 109 is 1.

1. What is the GCD of 132, 297, 129, 109?

GCD of given numbers 132, 297, 129, 109 is 1

2. How to calculate the greatest common divisor of 132, 297, 129, 109?

We can find the highest common divisor of 132, 297, 129, 109 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, 297, 129, 109 i.e 1.

3. How can I use the GCD of 132, 297, 129, 109Calculator?

Out the numbers 132, 297, 129, 109 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.