GCD of 188, 144, 706, 838 Calculator

Given Input numbers are 188, 144, 706, 838

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

Divisors of 188 :

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

1, 2, 4, 47, 94, 188

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 706 :

The positive integer divisors of 706 that completely divides 706 are.

1, 2, 353, 706

Divisors of 838 :

The positive integer divisors of 838 that completely divides 838 are.

1, 2, 419, 838

GCD of numbers is the greatest common divisor

So, the GCD (188, 144, 706, 838) = 2.

Given numbers are 188, 144, 706, 838

The list of prime factors of all numbers are

Prime factors of 188 are 2 x 2 x 47

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

Prime factors of 706 are 2 x 353

Prime factors of 838 are 2 x 419

The highest common occurrence is 2¹

Therefore, GCD of 188, 144, 706, 838 is 2.

Given numbers are 188, 144, 706, 838

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

Apply this formula for all numbers.

Step1:

LCM(188, 144) = 6768

GCD(188, 144) = ( 188 x 144 ) / 6768

= 188 / 144

= 188

Step2:

LCM(4, 706) = 1412

GCD(4, 706) = ( 4 x 706 ) / 1412

= 4 / 706

= 4

Step3:

LCM(2, 838) = 838

GCD(2, 838) = ( 2 x 838 ) / 838

= 2 / 838

= 2

So, Greatest Common Divisor of 188, 144, 706, 838 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 399, 197, 416, 171
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• GCD of 366, 776, 837, 463

Given numbers are 188, 144, 706, 838
The greatest common divisor of numbers 188, 144, 706, 838 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 188, 144, 706, 838 is 2.

1. What is the GCD of 188, 144, 706, 838?

GCD of given numbers 188, 144, 706, 838 is 2

2. How to calculate the greatest common divisor of 188, 144, 706, 838?

We can find the highest common divisor of 188, 144, 706, 838 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 188, 144, 706, 838 i.e 2.

3. How can I use the GCD of 188, 144, 706, 838Calculator?

Out the numbers 188, 144, 706, 838 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.