GCD of 132, 530, 138 Calculator

Given Input numbers are 132, 530, 138

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 530 :

The positive integer divisors of 530 that completely divides 530 are.

1, 2, 5, 10, 53, 106, 265, 530

Divisors of 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

GCD of numbers is the greatest common divisor

So, the GCD (132, 530, 138) = 2.

Given numbers are 132, 530, 138

The list of prime factors of all numbers are

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

Prime factors of 530 are 2 x 5 x 53

Prime factors of 138 are 2 x 3 x 23

The highest common occurrence is 2¹

Therefore, GCD of 132, 530, 138 is 2.

Given numbers are 132, 530, 138

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

Apply this formula for all numbers.

Step1:

LCM(132, 530) = 34980

GCD(132, 530) = ( 132 x 530 ) / 34980

= 132 / 530

= 132

Step2:

LCM(2, 138) = 138

GCD(2, 138) = ( 2 x 138 ) / 138

= 2 / 138

= 2

So, Greatest Common Divisor of 132, 530, 138 is 2

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Given numbers are 132, 530, 138
The greatest common divisor of numbers 132, 530, 138 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 132, 530, 138 is 2.

1. What is the GCD of 132, 530, 138?

GCD of given numbers 132, 530, 138 is 2

2. How to calculate the greatest common divisor of 132, 530, 138?

We can find the highest common divisor of 132, 530, 138 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, 530, 138 i.e 2.

3. How can I use the GCD of 132, 530, 138Calculator?

Out the numbers 132, 530, 138 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.