GCD of 396, 705, 198, 215 Calculator

Given Input numbers are 396, 705, 198, 215

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

Divisors of 396 :

The positive integer divisors of 396 that completely divides 396 are.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Divisors of 705 :

The positive integer divisors of 705 that completely divides 705 are.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 198 :

The positive integer divisors of 198 that completely divides 198 are.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Divisors of 215 :

The positive integer divisors of 215 that completely divides 215 are.

1, 5, 43, 215

GCD of numbers is the greatest common divisor

So, the GCD (396, 705, 198, 215) = 1.

Given numbers are 396, 705, 198, 215

The list of prime factors of all numbers are

Prime factors of 396 are 2 x 2 x 3 x 3 x 11

Prime factors of 705 are 3 x 5 x 47

Prime factors of 198 are 2 x 3 x 3 x 11

Prime factors of 215 are 5 x 43

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

Given numbers are 396, 705, 198, 215

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

Apply this formula for all numbers.

Step1:

LCM(396, 705) = 93060

GCD(396, 705) = ( 396 x 705 ) / 93060

= 396 / 705

= 396

Step2:

LCM(3, 198) = 198

GCD(3, 198) = ( 3 x 198 ) / 198

= 3 / 198

= 3

Step3:

LCM(3, 215) = 645

GCD(3, 215) = ( 3 x 215 ) / 645

= 3 / 215

= 3

So, Greatest Common Divisor of 396, 705, 198, 215 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 585, 238, 287, 937
• GCD of 125, 187, 592, 822
• GCD of 258, 273, 496, 379
• GCD of 281, 701, 600, 119
• GCD of 483, 953, 183, 558

Given numbers are 396, 705, 198, 215
The greatest common divisor of numbers 396, 705, 198, 215 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 396, 705, 198, 215 is 1.

1. What is the GCD of 396, 705, 198, 215?

GCD of given numbers 396, 705, 198, 215 is 1

2. How to calculate the greatest common divisor of 396, 705, 198, 215?

We can find the highest common divisor of 396, 705, 198, 215 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 396, 705, 198, 215 i.e 1.

3. How can I use the GCD of 396, 705, 198, 215Calculator?

Out the numbers 396, 705, 198, 215 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.