GCD of 738, 173, 496, 189 Calculator

Given Input numbers are 738, 173, 496, 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 173 :

The positive integer divisors of 173 that completely divides 173 are.

1, 173

Divisors of 496 :

The positive integer divisors of 496 that completely divides 496 are.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

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, 173, 496, 189) = 1.

Given numbers are 738, 173, 496, 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 173 are 173

Prime factors of 496 are 2 x 2 x 2 x 2 x 31

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, 173, 496, 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, 173) = 127674

GCD(738, 173) = ( 738 x 173 ) / 127674

= 738 / 173

= 738

Step2:

LCM(1, 496) = 496

GCD(1, 496) = ( 1 x 496 ) / 496

= 1 / 496

= 1

Step3:

LCM(1, 189) = 189

GCD(1, 189) = ( 1 x 189 ) / 189

= 1 / 189

= 1

So, Greatest Common Divisor of 738, 173, 496, 189 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 994, 327, 632, 998
• GCD of 944, 138, 848, 290
• GCD of 154, 628, 522, 575
• GCD of 907, 514, 210, 324
• GCD of 335, 733, 333, 419

Given numbers are 738, 173, 496, 189
The greatest common divisor of numbers 738, 173, 496, 189 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 738, 173, 496, 189 is 1.

1. What is the GCD of 738, 173, 496, 189?

GCD of given numbers 738, 173, 496, 189 is 1

2. How to calculate the greatest common divisor of 738, 173, 496, 189?

We can find the highest common divisor of 738, 173, 496, 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, 173, 496, 189 i.e 1.

3. How can I use the GCD of 738, 173, 496, 189Calculator?

Out the numbers 738, 173, 496, 189 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.