GCD of 249, 198, 360, 215 Calculator

Given Input numbers are 249, 198, 360, 215

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

Divisors of 249 :

The positive integer divisors of 249 that completely divides 249 are.

1, 3, 83, 249

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 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

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 (249, 198, 360, 215) = 1.

Given numbers are 249, 198, 360, 215

The list of prime factors of all numbers are

Prime factors of 249 are 3 x 83

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

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

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 249, 198, 360, 215

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

Apply this formula for all numbers.

Step1:

LCM(249, 198) = 16434

GCD(249, 198) = ( 249 x 198 ) / 16434

= 249 / 198

= 249

Step2:

LCM(3, 360) = 360

GCD(3, 360) = ( 3 x 360 ) / 360

= 3 / 360

= 3

Step3:

LCM(3, 215) = 645

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

= 3 / 215

= 3

So, Greatest Common Divisor of 249, 198, 360, 215 is 1

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Given numbers are 249, 198, 360, 215
The greatest common divisor of numbers 249, 198, 360, 215 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 249, 198, 360, 215 is 1.

1. What is the GCD of 249, 198, 360, 215?

GCD of given numbers 249, 198, 360, 215 is 1

2. How to calculate the greatest common divisor of 249, 198, 360, 215?

We can find the highest common divisor of 249, 198, 360, 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 249, 198, 360, 215 i.e 1.

3. How can I use the GCD of 249, 198, 360, 215Calculator?

Out the numbers 249, 198, 360, 215 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.