GCD of 134, 146, 612, 108 Calculator

Given Input numbers are 134, 146, 612, 108

In the factoring method, we have to find the divisors of all numbers

Divisors of 134 :

The positive integer divisors of 134 that completely divides 134 are.

1, 2, 67, 134

Divisors of 146 :

The positive integer divisors of 146 that completely divides 146 are.

1, 2, 73, 146

Divisors of 612 :

The positive integer divisors of 612 that completely divides 612 are.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

Divisors of 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

GCD of numbers is the greatest common divisor

So, the GCD (134, 146, 612, 108) = 2.

Given numbers are 134, 146, 612, 108

The list of prime factors of all numbers are

Prime factors of 134 are 2 x 67

Prime factors of 146 are 2 x 73

Prime factors of 612 are 2 x 2 x 3 x 3 x 17

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

The highest common occurrence is 2¹

Therefore, GCD of 134, 146, 612, 108 is 2.

Given numbers are 134, 146, 612, 108

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

Apply this formula for all numbers.

Step1:

LCM(134, 146) = 9782

GCD(134, 146) = ( 134 x 146 ) / 9782

= 134 / 146

= 134

Step2:

LCM(2, 612) = 612

GCD(2, 612) = ( 2 x 612 ) / 612

= 2 / 612

= 2

Step3:

LCM(2, 108) = 108

GCD(2, 108) = ( 2 x 108 ) / 108

= 2 / 108

= 2

So, Greatest Common Divisor of 134, 146, 612, 108 is 2

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Given numbers are 134, 146, 612, 108
The greatest common divisor of numbers 134, 146, 612, 108 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 134, 146, 612, 108 is 2.

1. What is the GCD of 134, 146, 612, 108?

GCD of given numbers 134, 146, 612, 108 is 2

2. How to calculate the greatest common divisor of 134, 146, 612, 108?

We can find the highest common divisor of 134, 146, 612, 108 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 134, 146, 612, 108 i.e 2.

3. How can I use the GCD of 134, 146, 612, 108Calculator?

Out the numbers 134, 146, 612, 108 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.