GCD of 189, 732, 398, 697 Calculator

Given Input numbers are 189, 732, 398, 697

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 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 398 :

The positive integer divisors of 398 that completely divides 398 are.

1, 2, 199, 398

Divisors of 697 :

The positive integer divisors of 697 that completely divides 697 are.

1, 17, 41, 697

GCD of numbers is the greatest common divisor

So, the GCD (189, 732, 398, 697) = 1.

Given numbers are 189, 732, 398, 697

The list of prime factors of all numbers are

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

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

Prime factors of 398 are 2 x 199

Prime factors of 697 are 17 x 41

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

Given numbers are 189, 732, 398, 697

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

Apply this formula for all numbers.

Step1:

LCM(189, 732) = 46116

GCD(189, 732) = ( 189 x 732 ) / 46116

= 189 / 732

= 189

Step2:

LCM(3, 398) = 1194

GCD(3, 398) = ( 3 x 398 ) / 1194

= 3 / 398

= 3

Step3:

LCM(1, 697) = 697

GCD(1, 697) = ( 1 x 697 ) / 697

= 1 / 697

= 1

So, Greatest Common Divisor of 189, 732, 398, 697 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 293, 426, 681, 568
• GCD of 295, 461, 435, 146
• GCD of 561, 221, 730, 285
• GCD of 184, 566, 324, 117
• GCD of 215, 602, 617, 279

Given numbers are 189, 732, 398, 697
The greatest common divisor of numbers 189, 732, 398, 697 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 189, 732, 398, 697 is 1.

1. What is the GCD of 189, 732, 398, 697?

GCD of given numbers 189, 732, 398, 697 is 1

2. How to calculate the greatest common divisor of 189, 732, 398, 697?

We can find the highest common divisor of 189, 732, 398, 697 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, 732, 398, 697 i.e 1.

3. How can I use the GCD of 189, 732, 398, 697Calculator?

Out the numbers 189, 732, 398, 697 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.