GCD of 232, 144, 182, 116 Calculator

Given Input numbers are 232, 144, 182, 116

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

Divisors of 232 :

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

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

Divisors of 144 :

The positive integer divisors of 144 that completely divides 144 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 182 :

The positive integer divisors of 182 that completely divides 182 are.

1, 2, 7, 13, 14, 26, 91, 182

Divisors of 116 :

The positive integer divisors of 116 that completely divides 116 are.

1, 2, 4, 29, 58, 116

GCD of numbers is the greatest common divisor

So, the GCD (232, 144, 182, 116) = 2.

Given numbers are 232, 144, 182, 116

The list of prime factors of all numbers are

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

Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 182 are 2 x 7 x 13

Prime factors of 116 are 2 x 2 x 29

The highest common occurrence is 2¹

Therefore, GCD of 232, 144, 182, 116 is 2.

Given numbers are 232, 144, 182, 116

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

Apply this formula for all numbers.

Step1:

LCM(232, 144) = 4176

GCD(232, 144) = ( 232 x 144 ) / 4176

= 232 / 144

= 232

Step2:

LCM(8, 182) = 728

GCD(8, 182) = ( 8 x 182 ) / 728

= 8 / 182

= 8

Step3:

LCM(2, 116) = 116

GCD(2, 116) = ( 2 x 116 ) / 116

= 2 / 116

= 2

So, Greatest Common Divisor of 232, 144, 182, 116 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 976, 637, 530, 377
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• GCD of 297, 188, 187, 249
• GCD of 230, 393, 758, 379
• GCD of 821, 225, 967, 944

Given numbers are 232, 144, 182, 116
The greatest common divisor of numbers 232, 144, 182, 116 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 232, 144, 182, 116 is 2.

1. What is the GCD of 232, 144, 182, 116?

GCD of given numbers 232, 144, 182, 116 is 2

2. How to calculate the greatest common divisor of 232, 144, 182, 116?

We can find the highest common divisor of 232, 144, 182, 116 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 232, 144, 182, 116 i.e 2.

3. How can I use the GCD of 232, 144, 182, 116Calculator?

Out the numbers 232, 144, 182, 116 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.