GCD of 238, 225, 705, 330 Calculator

Given Input numbers are 238, 225, 705, 330

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

Divisors of 238 :

The positive integer divisors of 238 that completely divides 238 are.

1, 2, 7, 14, 17, 34, 119, 238

Divisors of 225 :

The positive integer divisors of 225 that completely divides 225 are.

1, 3, 5, 9, 15, 25, 45, 75, 225

Divisors of 705 :

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

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

Divisors of 330 :

The positive integer divisors of 330 that completely divides 330 are.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

GCD of numbers is the greatest common divisor

So, the GCD (238, 225, 705, 330) = 1.

Given numbers are 238, 225, 705, 330

The list of prime factors of all numbers are

Prime factors of 238 are 2 x 7 x 17

Prime factors of 225 are 3 x 3 x 5 x 5

Prime factors of 705 are 3 x 5 x 47

Prime factors of 330 are 2 x 3 x 5 x 11

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

Given numbers are 238, 225, 705, 330

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

Apply this formula for all numbers.

Step1:

LCM(238, 225) = 53550

GCD(238, 225) = ( 238 x 225 ) / 53550

= 238 / 225

= 238

Step2:

LCM(1, 705) = 705

GCD(1, 705) = ( 1 x 705 ) / 705

= 1 / 705

= 1

Step3:

LCM(1, 330) = 330

GCD(1, 330) = ( 1 x 330 ) / 330

= 1 / 330

= 1

So, Greatest Common Divisor of 238, 225, 705, 330 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 650, 972, 563, 477
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Given numbers are 238, 225, 705, 330
The greatest common divisor of numbers 238, 225, 705, 330 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 238, 225, 705, 330 is 1.

1. What is the GCD of 238, 225, 705, 330?

GCD of given numbers 238, 225, 705, 330 is 1

2. How to calculate the greatest common divisor of 238, 225, 705, 330?

We can find the highest common divisor of 238, 225, 705, 330 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 238, 225, 705, 330 i.e 1.

3. How can I use the GCD of 238, 225, 705, 330Calculator?

Out the numbers 238, 225, 705, 330 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.