GCD of 738, 302, 442, 189 Calculator

Given Input numbers are 738, 302, 442, 189

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

Divisors of 738 :

The positive integer divisors of 738 that completely divides 738 are.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 302 :

The positive integer divisors of 302 that completely divides 302 are.

1, 2, 151, 302

Divisors of 442 :

The positive integer divisors of 442 that completely divides 442 are.

1, 2, 13, 17, 26, 34, 221, 442

Divisors of 189 :

The positive integer divisors of 189 that completely divides 189 are.

1, 3, 7, 9, 21, 27, 63, 189

GCD of numbers is the greatest common divisor

So, the GCD (738, 302, 442, 189) = 1.

Given numbers are 738, 302, 442, 189

The list of prime factors of all numbers are

Prime factors of 738 are 2 x 3 x 3 x 41

Prime factors of 302 are 2 x 151

Prime factors of 442 are 2 x 13 x 17

Prime factors of 189 are 3 x 3 x 3 x 7

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 738, 302, 442, 189

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

Apply this formula for all numbers.

Step1:

LCM(738, 302) = 111438

GCD(738, 302) = ( 738 x 302 ) / 111438

= 738 / 302

= 738

Step2:

LCM(2, 442) = 442

GCD(2, 442) = ( 2 x 442 ) / 442

= 2 / 442

= 2

Step3:

LCM(2, 189) = 378

GCD(2, 189) = ( 2 x 189 ) / 378

= 2 / 189

= 2

So, Greatest Common Divisor of 738, 302, 442, 189 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 799, 705, 282, 957
• GCD of 432, 938, 772, 656
• GCD of 705, 720, 290, 451
• GCD of 670, 487, 612, 979
• GCD of 744, 798, 844, 796

Given numbers are 738, 302, 442, 189
The greatest common divisor of numbers 738, 302, 442, 189 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 738, 302, 442, 189 is 1.

1. What is the GCD of 738, 302, 442, 189?

GCD of given numbers 738, 302, 442, 189 is 1

2. How to calculate the greatest common divisor of 738, 302, 442, 189?

We can find the highest common divisor of 738, 302, 442, 189 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 738, 302, 442, 189 i.e 1.

3. How can I use the GCD of 738, 302, 442, 189Calculator?

Out the numbers 738, 302, 442, 189 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.