GCD of 189, 738, 732, 296 Calculator

Given Input numbers are 189, 738, 732, 296

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

Divisors of 189 :

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

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

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 732 :

The positive integer divisors of 732 that completely divides 732 are.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

Divisors of 296 :

The positive integer divisors of 296 that completely divides 296 are.

1, 2, 4, 8, 37, 74, 148, 296

GCD of numbers is the greatest common divisor

So, the GCD (189, 738, 732, 296) = 1.

Given numbers are 189, 738, 732, 296

The list of prime factors of all numbers are

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

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

Prime factors of 732 are 2 x 2 x 3 x 61

Prime factors of 296 are 2 x 2 x 2 x 37

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

Given numbers are 189, 738, 732, 296

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

Apply this formula for all numbers.

Step1:

LCM(189, 738) = 15498

GCD(189, 738) = ( 189 x 738 ) / 15498

= 189 / 738

= 189

Step2:

LCM(9, 732) = 2196

GCD(9, 732) = ( 9 x 732 ) / 2196

= 9 / 732

= 9

Step3:

LCM(3, 296) = 888

GCD(3, 296) = ( 3 x 296 ) / 888

= 3 / 296

= 3

So, Greatest Common Divisor of 189, 738, 732, 296 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 143, 748, 188, 721
• GCD of 982, 455, 902, 225
• GCD of 912, 748, 820, 205
• GCD of 186, 953, 426, 175
• GCD of 437, 383, 690, 791

Given numbers are 189, 738, 732, 296
The greatest common divisor of numbers 189, 738, 732, 296 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 189, 738, 732, 296 is 1.

1. What is the GCD of 189, 738, 732, 296?

GCD of given numbers 189, 738, 732, 296 is 1

2. How to calculate the greatest common divisor of 189, 738, 732, 296?

We can find the highest common divisor of 189, 738, 732, 296 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 189, 738, 732, 296 i.e 1.

3. How can I use the GCD of 189, 738, 732, 296Calculator?

Out the numbers 189, 738, 732, 296 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.