GCD of 138, 232, 758, 146 Calculator

Given Input numbers are 138, 232, 758, 146

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

Divisors of 138 :

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

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

Divisors of 232 :

The positive integer divisors of 232 that completely divides 232 are.

1, 2, 4, 8, 29, 58, 116, 232

Divisors of 758 :

The positive integer divisors of 758 that completely divides 758 are.

1, 2, 379, 758

Divisors of 146 :

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

1, 2, 73, 146

GCD of numbers is the greatest common divisor

So, the GCD (138, 232, 758, 146) = 2.

Given numbers are 138, 232, 758, 146

The list of prime factors of all numbers are

Prime factors of 138 are 2 x 3 x 23

Prime factors of 232 are 2 x 2 x 2 x 29

Prime factors of 758 are 2 x 379

Prime factors of 146 are 2 x 73

The highest common occurrence is 2¹

Therefore, GCD of 138, 232, 758, 146 is 2.

Given numbers are 138, 232, 758, 146

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

Apply this formula for all numbers.

Step1:

LCM(138, 232) = 16008

GCD(138, 232) = ( 138 x 232 ) / 16008

= 138 / 232

= 138

Step2:

LCM(2, 758) = 758

GCD(2, 758) = ( 2 x 758 ) / 758

= 2 / 758

= 2

Step3:

LCM(2, 146) = 146

GCD(2, 146) = ( 2 x 146 ) / 146

= 2 / 146

= 2

So, Greatest Common Divisor of 138, 232, 758, 146 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 890, 323, 758, 145
• GCD of 958, 949, 209, 182
• GCD of 332, 937, 205, 945
• GCD of 659, 102, 286, 382
• GCD of 212, 790, 675, 492

Given numbers are 138, 232, 758, 146
The greatest common divisor of numbers 138, 232, 758, 146 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 138, 232, 758, 146 is 2.

1. What is the GCD of 138, 232, 758, 146?

GCD of given numbers 138, 232, 758, 146 is 2

2. How to calculate the greatest common divisor of 138, 232, 758, 146?

We can find the highest common divisor of 138, 232, 758, 146 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 138, 232, 758, 146 i.e 2.

3. How can I use the GCD of 138, 232, 758, 146Calculator?

Out the numbers 138, 232, 758, 146 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.