GCD of 228, 138, 216, 245 Calculator

Given Input numbers are 228, 138, 216, 245

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

Divisors of 228 :

The positive integer divisors of 228 that completely divides 228 are.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

Divisors of 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 216 :

The positive integer divisors of 216 that completely divides 216 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

Divisors of 245 :

The positive integer divisors of 245 that completely divides 245 are.

1, 5, 7, 35, 49, 245

GCD of numbers is the greatest common divisor

So, the GCD (228, 138, 216, 245) = 1.

Given numbers are 228, 138, 216, 245

The list of prime factors of all numbers are

Prime factors of 228 are 2 x 2 x 3 x 19

Prime factors of 138 are 2 x 3 x 23

Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 245 are 5 x 7 x 7

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

Given numbers are 228, 138, 216, 245

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

Apply this formula for all numbers.

Step1:

LCM(228, 138) = 5244

GCD(228, 138) = ( 228 x 138 ) / 5244

= 228 / 138

= 228

Step2:

LCM(6, 216) = 216

GCD(6, 216) = ( 6 x 216 ) / 216

= 6 / 216

= 6

Step3:

LCM(6, 245) = 1470

GCD(6, 245) = ( 6 x 245 ) / 1470

= 6 / 245

= 6

So, Greatest Common Divisor of 228, 138, 216, 245 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 498, 957, 414, 899
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Given numbers are 228, 138, 216, 245
The greatest common divisor of numbers 228, 138, 216, 245 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 228, 138, 216, 245 is 1.

1. What is the GCD of 228, 138, 216, 245?

GCD of given numbers 228, 138, 216, 245 is 1

2. How to calculate the greatest common divisor of 228, 138, 216, 245?

We can find the highest common divisor of 228, 138, 216, 245 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 228, 138, 216, 245 i.e 1.

3. How can I use the GCD of 228, 138, 216, 245Calculator?

Out the numbers 228, 138, 216, 245 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.