GCD of 132, 504, 311, 128 Calculator

Given Input numbers are 132, 504, 311, 128

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 504 :

The positive integer divisors of 504 that completely divides 504 are.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Divisors of 311 :

The positive integer divisors of 311 that completely divides 311 are.

1, 311

Divisors of 128 :

The positive integer divisors of 128 that completely divides 128 are.

1, 2, 4, 8, 16, 32, 64, 128

GCD of numbers is the greatest common divisor

So, the GCD (132, 504, 311, 128) = 1.

Given numbers are 132, 504, 311, 128

The list of prime factors of all numbers are

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

Prime factors of 504 are 2 x 2 x 2 x 3 x 3 x 7

Prime factors of 311 are 311

Prime factors of 128 are 2 x 2 x 2 x 2 x 2 x 2 x 2

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

Given numbers are 132, 504, 311, 128

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

Apply this formula for all numbers.

Step1:

LCM(132, 504) = 5544

GCD(132, 504) = ( 132 x 504 ) / 5544

= 132 / 504

= 132

Step2:

LCM(12, 311) = 3732

GCD(12, 311) = ( 12 x 311 ) / 3732

= 12 / 311

= 12

Step3:

LCM(1, 128) = 128

GCD(1, 128) = ( 1 x 128 ) / 128

= 1 / 128

= 1

So, Greatest Common Divisor of 132, 504, 311, 128 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 484, 414, 857, 856
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• GCD of 230, 638, 332, 234
• GCD of 159, 308, 370, 694
• GCD of 546, 240, 144, 455

Given numbers are 132, 504, 311, 128
The greatest common divisor of numbers 132, 504, 311, 128 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 132, 504, 311, 128 is 1.

1. What is the GCD of 132, 504, 311, 128?

GCD of given numbers 132, 504, 311, 128 is 1

2. How to calculate the greatest common divisor of 132, 504, 311, 128?

We can find the highest common divisor of 132, 504, 311, 128 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, 504, 311, 128 i.e 1.

3. How can I use the GCD of 132, 504, 311, 128Calculator?

Out the numbers 132, 504, 311, 128 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.