GCD of 138, 178, 188, 264 Calculator

Given Input numbers are 138, 178, 188, 264

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 178 :

The positive integer divisors of 178 that completely divides 178 are.

1, 2, 89, 178

Divisors of 188 :

The positive integer divisors of 188 that completely divides 188 are.

1, 2, 4, 47, 94, 188

Divisors of 264 :

The positive integer divisors of 264 that completely divides 264 are.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

GCD of numbers is the greatest common divisor

So, the GCD (138, 178, 188, 264) = 2.

Given numbers are 138, 178, 188, 264

The list of prime factors of all numbers are

Prime factors of 138 are 2 x 3 x 23

Prime factors of 178 are 2 x 89

Prime factors of 188 are 2 x 2 x 47

Prime factors of 264 are 2 x 2 x 2 x 3 x 11

The highest common occurrence is 2¹

Therefore, GCD of 138, 178, 188, 264 is 2.

Given numbers are 138, 178, 188, 264

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

Apply this formula for all numbers.

Step1:

LCM(138, 178) = 12282

GCD(138, 178) = ( 138 x 178 ) / 12282

= 138 / 178

= 138

Step2:

LCM(2, 188) = 188

GCD(2, 188) = ( 2 x 188 ) / 188

= 2 / 188

= 2

Step3:

LCM(2, 264) = 264

GCD(2, 264) = ( 2 x 264 ) / 264

= 2 / 264

= 2

So, Greatest Common Divisor of 138, 178, 188, 264 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 548, 867, 737, 165
• GCD of 182, 122, 739, 541
• GCD of 133, 115, 648, 403
• GCD of 592, 893, 672, 919
• GCD of 411, 290, 274, 389

Given numbers are 138, 178, 188, 264
The greatest common divisor of numbers 138, 178, 188, 264 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 138, 178, 188, 264 is 2.

1. What is the GCD of 138, 178, 188, 264?

GCD of given numbers 138, 178, 188, 264 is 2

2. How to calculate the greatest common divisor of 138, 178, 188, 264?

We can find the highest common divisor of 138, 178, 188, 264 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, 178, 188, 264 i.e 2.

3. How can I use the GCD of 138, 178, 188, 264Calculator?

Out the numbers 138, 178, 188, 264 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.