GCD of 132, 494, 596, 380 Calculator

Given Input numbers are 132, 494, 596, 380

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 494 :

The positive integer divisors of 494 that completely divides 494 are.

1, 2, 13, 19, 26, 38, 247, 494

Divisors of 596 :

The positive integer divisors of 596 that completely divides 596 are.

1, 2, 4, 149, 298, 596

Divisors of 380 :

The positive integer divisors of 380 that completely divides 380 are.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

GCD of numbers is the greatest common divisor

So, the GCD (132, 494, 596, 380) = 2.

Given numbers are 132, 494, 596, 380

The list of prime factors of all numbers are

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

Prime factors of 494 are 2 x 13 x 19

Prime factors of 596 are 2 x 2 x 149

Prime factors of 380 are 2 x 2 x 5 x 19

The highest common occurrence is 2¹

Therefore, GCD of 132, 494, 596, 380 is 2.

Given numbers are 132, 494, 596, 380

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

Apply this formula for all numbers.

Step1:

LCM(132, 494) = 32604

GCD(132, 494) = ( 132 x 494 ) / 32604

= 132 / 494

= 132

Step2:

LCM(2, 596) = 596

GCD(2, 596) = ( 2 x 596 ) / 596

= 2 / 596

= 2

Step3:

LCM(2, 380) = 380

GCD(2, 380) = ( 2 x 380 ) / 380

= 2 / 380

= 2

So, Greatest Common Divisor of 132, 494, 596, 380 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 930, 560, 963, 392
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Given numbers are 132, 494, 596, 380
The greatest common divisor of numbers 132, 494, 596, 380 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 132, 494, 596, 380 is 2.

1. What is the GCD of 132, 494, 596, 380?

GCD of given numbers 132, 494, 596, 380 is 2

2. How to calculate the greatest common divisor of 132, 494, 596, 380?

We can find the highest common divisor of 132, 494, 596, 380 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, 494, 596, 380 i.e 2.

3. How can I use the GCD of 132, 494, 596, 380Calculator?

Out the numbers 132, 494, 596, 380 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.